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Associate Professor Christopher Kellett

Associate Professor

School of Elect Engineering and Computer Science (Electrical and Computer Engineering)

Career Summary

Biography

A/Prof. Kellett earned Bachelor of Science degrees in Electrical Engineering and Mathematics from the University of California Riverside in 1997, and the Master of Science and Doctor of Philosophy in Electrical and Computer Engineering from the University of California Santa Barbara in 2000 and 2002, respectively.

He subsequently held postdoctoral research positions at Ecole des Mines de Paris (France) in the Centre d'Automatique et Systemes, at the University of Melbourne (Australia) in the Department of Electrical and Electronic Engineering, and at the Hamilton Institute (Ireland), based at the National University of Ireland, Maynooth.  A/Prof. Kellett joined the School of Electrical Engineering and Computer Science at the University of Newcastle in 2006.  He has taught a range of subjects across electrical, computer, and telecommunications engineering, while his research interests span control, power systems, communication, and information theory.

A/Prof. Kellett is currently supported by an Australian Research Council Future Fellowship. He has been awarded the Vice-Chancellor's Award for Teaching Excellence in the Faculty of Engineering and the Built Environment (2011) and a Research Fellowship for Experienced Researchers from the Alexander von Humboldt Foundation (Germany, 2012-2013). In 2013 he was one of eight Australian researchers selected for the Australia-Japan Emerging Research Leaders Exchange Program jointly sponsored by the Australian Academy of Technological Sciences and Engineering, the Engineering Academy of Japan, and the Japanese Society for the Promotion of Science.

In 2012, jointly with co-authors Dr. B. Rueffer (U. Newcastle), A/Prof. P. Dower (U. Melbourne), and A/Prof. S. Weller (U. Newcastle), A/Prof. Kellett received the IET Control Theory and its Applications Premium Award for the best paper published in the journal in 2010-2011.  He is an Associate Editor for Mathematics of Control, Signals and Systems, the European Journal on Control, and is a member of the IEEE Control Systems Society Conference Editorial Board.

Research Expertise
A/Prof. Kellett's research interests are in analysis and design of nonlinear control systems.  He is particularly interested in stability and performance of nonlinear systems with applications in power networks, telecommunications, signal processing, and social systems.

Collaborations
A/Prof. Kellett has active research collaborations with academic colleagues in Europe, North America, and Australia.  In addition to co-authoring over ninety peer-reviewed scholarly articles, he has presented invited research seminars at over 25 universities and is currently an Honorary Research Fellow at the University of Melbourne.

Qualifications

  • PhD, University of California, Santa Barbara - USA
  • Bachelor of Science (Electrical Eng & Mathematics), University of California, Riverside - USA
  • Master of Science (Electrical Eng & Computer Sc), University of California, Santa Barbara - USA

Keywords

  • Control Theory
  • Introduction to Telecommunications
  • Nonlinear Systems
  • Programmable Logic Design
  • Robust Control Systems
  • Signals and Systems
  • Stability Theory

Fields of Research

Code Description Percentage
010203 Calculus of Variations, Systems Theory and Control Theory 80
090602 Control Systems, Robotics and Automation 20

Professional Experience

UON Appointment

Title Organisation / Department
Associate Professor University of Newcastle
School of Elect Engineering and Computer Science
Australia

Academic appointment

Dates Title Organisation / Department
1/01/2012 - 8/01/2016 Fellow - ARC University of Newcastle
School of Elect Engineering and Computer Science
Australia
1/01/2010 -  Membership - Institute of Electrical and Electronic Engineers (IEEE) Institute of Electrical & Electronic Engineers (IEEE)
Australia
1/01/2007 -  Editorial Board - IEEE Control Systems Society - Conference Editorial Board IEEE Control Systems Society - Conference Editorial Board
Australia
1/01/1997 -  Membership - Society for Industrial and Applied Mathematics (SIAM) Society for Industrial and Applied Mathematics (SIAM)
United States
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Publications

For publications that are currently unpublished or in-press, details are shown in italics.


Journal article (35 outputs)

Year Citation Altmetrics Link
2016 Kellett CM, Dower PM, 'Input-to-State Stability, Integral Input-to-State Stability, and L-2-Gain Properties: Qualitative Equivalences and Interconnected Systems', IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61 3-17 (2016)
DOI 10.1109/TAC.2015.2418671
2016 Ratnam EL, Weller SR, Kellett CM, 'Central versus localized optimization-based approaches to power management in distribution networks with residential battery storage', International Journal of Electrical Power & Energy Systems, 80 396-406 (2016)
DOI 10.1016/j.ijepes.2016.01.048
Co-authors Steven Weller
2016 Kellett CM, Wirth FR, 'Nonlinear Scaling of (i)ISS-Lyapunov Functions', IEEE Transactions on Automatic Control, 61 1087-1092 (2016)
DOI 10.1109/TAC.2015.2458471
2015 Lens D, Faulwasser T, Kellett CM, 'Towards model predictive control of longitudinal beam dynamics in synchrotrons', At-Automatisierungstechnik, 63 621-632 (2015) [C1]

Hadron synchrotrons accelerate protons and heavy ions to very high energies. The stabilization of the longitudinal beam dynamics in these particle accelerators is a demanding cont... [more]

Hadron synchrotrons accelerate protons and heavy ions to very high energies. The stabilization of the longitudinal beam dynamics in these particle accelerators is a demanding control problemsince typical sample times of the beam-feedback loop are on the order of several ìs to several hundred ns. This work examines if model predictive control is a suitable candidate for longitudinal beam feedback in synchrotrons. We show that, by combining an appropriate problem formulation with efficient numer-ical algorithms, the optimization problem can be solved sufficiently fast on a high-end FPGA. Realistic simulations for the synchrotron SIS18 of the GSI Helmholtz Center for Heavy-Ion Research illustrate that the proposed control scheme can lead to a significant improvement of the control performance.

DOI 10.1515/auto-2015-0020
2015 Ratnam EL, Weller SR, Kellett CM, 'An optimization-based approach to scheduling residential battery storage with solar PV: Assessing customer benefit', Renewable Energy, 75 123-134 (2015) [C1]

© 2014. Several studies have suggested that battery storage co-located with solar photovoltaics (PV) benefits electricity distributors in maintaining system voltages within accep... [more]

© 2014. Several studies have suggested that battery storage co-located with solar photovoltaics (PV) benefits electricity distributors in maintaining system voltages within acceptable limits. However, without careful coordination, these potential benefits might not be realized. In this paper we propose an optimization-based algorithm for the scheduling of residential battery storage co-located with solar PV, in the context of PV incentives such as feed-in tariffs. Our objective is to maximize the daily operational savings that accrue to customers, while penalizing large voltage swings stemming from reverse power flow and peak load. To achieve this objective we present a quadratic program (QP)-based algorithm. To complete our assessment of the customer benefit, the QP-based scheduling algorithm is applied to measured load and generation data from 145 residential customers located in an Australian distribution network. The results of this case study confirm the QP-based scheduling algorithm significantly penalizes reverse power flow and peak loads corresponding to peak time-of-use billing. In the context of feed-in tariffs, the majority of customers exhibited operational savings when QP energy-shifting.

DOI 10.1016/j.renene.2014.09.008
Citations Scopus - 12Web of Science - 2
Co-authors Steven Weller
2015 Björnsson J, Giesl P, Hafstein SF, Kellett CM, 'Computation of Lyapunov functions for systems with multiple local attractors', Discrete and Continuous Dynamical Systems- Series A, 35 4019-4039 (2015) [C1]

We present a novel method to compute Lyapunov functions for continuous-time systems with multiple local attractors. In the proposed method one first computes an outer approximatio... [more]

We present a novel method to compute Lyapunov functions for continuous-time systems with multiple local attractors. In the proposed method one first computes an outer approximation of the local attractors using a graphtheoretic approach. Then a candidate Lyapunov function is computed using a Massera-like construction adapted to multiple local attractors. In the final step this candidate Lyapunov function is interpolated over the simplices of a simplicial complex and, by checking certain inequalities at the vertices of the complex, we can identify the region in which the Lyapunov function is decreasing along system trajectories. The resulting Lyapunov function gives information on the qualitative behavior of the dynamics, including lower bounds on the basins of attraction of the individual local attractors. We develop the theory in detail and present numerical examples demonstrating the applicability of our method.

DOI 10.3934/dcds.2015.35.4019
Citations Scopus - 3Web of Science - 1
2015 Ratnam EL, Weller SR, Kellett CM, 'Scheduling residential battery storage with solar PV: Assessing the benefits of net metering', Applied Energy, 155 881-891 (2015) [C1]

© 2015. In this paper we propose a linear program (LP)-based algorithm to schedule battery storage co-located with residential solar photovoltaics (PV), when excess generation is... [more]

© 2015. In this paper we propose a linear program (LP)-based algorithm to schedule battery storage co-located with residential solar photovoltaics (PV), when excess generation is compensated via net metering. While the objective of this LP-based approach is to maximize the operational savings that accrue to customers, an undesirable consequence to the utility is reverse power flow during the peak pricing period. We show in this paper that it is possible to balance the objective of the utility in limiting reverse power flow, with the customer objective of increasing operational savings, in the context of net metering. To balance the specified utility and customer objectives we employ a quadratic program (QP)-based algorithm, which explicitly penalizes reverse power flow. To complete our assessment of net metering, both the LP-based and QP-based scheduling algorithms are applied to measured load and generation data from 145 residential customers located in an Australian distribution network. The results of this case study confirm the absence of reverse power flow when all customers employ a QP-based battery schedule, with the majority of customers exhibiting operational savings.

DOI 10.1016/j.apenergy.2015.06.061
Citations Scopus - 4
Co-authors Steven Weller
2015 Ratnam EL, Weller SR, Kellett CM, Murray AT, 'Residential load and rooftop PV generation: an Australian distribution network dataset', International Journal of Sustainable Energy, (2015)

© 2015 Taylor & Francis Despite the rapid uptake of small-scale solar photovoltaic (PV) systems in recent years, public availability of generation and load data at the household ... [more]

© 2015 Taylor & Francis Despite the rapid uptake of small-scale solar photovoltaic (PV) systems in recent years, public availability of generation and load data at the household level remains very limited. Moreover, such data are typically measured using bi-directional meters recording only PV generation in excess of residential load rather than recording generation and load separately. In this paper, we report a publicly available dataset consisting of load and rooftop PV generation for 300 de-identified residential customers in an Australian distribution network, with load centres covering metropolitan Sydney and surrounding regional areas. The dataset spans a 3-year period, with separately reported measurements of load and PV generation at 30-min intervals. Following a detailed description of the dataset, we identify several means by which anomalous records (e.g. due to inverter failure) are identified and excised. With the resulting ¿clean¿ dataset, we identify key customer-specific and aggregated characteristics of rooftop PV generation and residential load.

DOI 10.1080/14786451.2015.1100196
Citations Scopus - 1
Co-authors Steven Weller
2015 Li H, Hafstein S, Kellett CM, 'Computation of continuous and piecewise affine Lyapunov functions for discrete-time systems', JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 21 486-511 (2015) [C1]
DOI 10.1080/10236198.2015.1025069
Citations Scopus - 1
2015 Worthmann K, Kellett CM, Braun P, Grune L, Weller SR, 'Distributed and decentralized control of residential energy systems incorporating battery storage', IEEE Transactions on Smart Grid, 6 1914-1923 (2015) [C1]
DOI 10.1109/TSG.2015.2392081
Citations Scopus - 2
Co-authors Steven Weller
2015 Kellett CM, 'Classical converse theorems in Lyapunov's second method', Discrete and Continuous Dynamical Systems - Series B, 20 2333-2360 (2015) [C1]

Copyright © DCDSB. 2015. Lyapunov's second or direct method is one of the most widely used techniques for investigating stability properties of dynamical systems. This technique ... [more]

Copyright © DCDSB. 2015. Lyapunov's second or direct method is one of the most widely used techniques for investigating stability properties of dynamical systems. This technique makes use of an auxiliary function, called a Lyapunov function, to ascertain stability properties for a specific system without the need to generate system solutions. An important question is the converse or reversability of Lyapunov's second method; i.e., given a specific stability property does there exist an appropriate Lyapunov function? We survey some of the available answers to this question.

DOI 10.3934/dcdsb.2015.20.2333
2014 Grune L, Kellett CM, 'ISS-lyapunov functions for discontinuous discrete-time systems', IEEE Transactions on Automatic Control, 59 3098-3103 (2014) [C1]

© 2014 IEEE. Input-to-State Stability (ISS) and the ISS-Lyapunov function are useful tools for the analysis and design of nonlinear systems. Motivated by the fact that many feedb... [more]

© 2014 IEEE. Input-to-State Stability (ISS) and the ISS-Lyapunov function are useful tools for the analysis and design of nonlinear systems. Motivated by the fact that many feedback control laws, such as model predictive or event-based control, lead to discontinuous discrete-time dynamics, we investigate ISS-Lyapunov functions for such systems. ISS-Lyapunov functions were originally introduced in a so-called implication-form and, in many cases, this has been shown to be equivalent to an ISS-Lyapunov function of dissipative-form. However, for discontinuous dynamics, we demonstrate via an example that this equivalence no longer holds. We therefore propose a stronger implication-form ISS-Lyapunov function and provide a complete characterization of ISS-Lyapunov functions for discrete-time systems with discontinuous dynamics.

DOI 10.1109/TAC.2014.2321667
Citations Scopus - 3
2014 Kellett CM, 'A compendium of comparison function results', Mathematics of Control, Signals, and Systems, (2014) [C1]

The use of comparison functions has become standard in systems and control theory, particularly for the purposes of studying stability properties. The use of these functions typic... [more]

The use of comparison functions has become standard in systems and control theory, particularly for the purposes of studying stability properties. The use of these functions typically allows elegant and succinct statements of stability properties such as asymptotic stability and input-to-state stability and its several variants. Furthermore, over the last 20 years several inequalities involving these comparison functions have been developed that simplify their manipulation in the service of proving more significant results. Many of these inequalities have appeared in the body of proofs or in appendices of various papers. Our goal herein is to collect these inequalities in one place. © 2014 The Author(s).

DOI 10.1007/s00498-014-0128-8
Citations Scopus - 17Web of Science - 6
2014 Ong L, Johnson SJ, Kellett CM, 'On the capacity of the binary-symmetric parallel-relay network', TRANSACTIONS ON EMERGING TELECOMMUNICATIONS TECHNOLOGIES, 25 217-230 (2014) [C1]
DOI 10.1002/ett.2561
Citations Scopus - 1Web of Science - 4
Co-authors Sarah Johnson, Lawrence L Ong
2013 Ong L, Lechner G, Johnson SJ, Kellett CM, 'The Three-User Finite-Field Multi-Way Relay Channel with Correlated Sources', IEEE TRANSACTIONS ON COMMUNICATIONS, 61 3125-3135 (2013) [C1]
DOI 10.1109/TCOMM.2013.061913.120987
Citations Scopus - 2
Co-authors Lawrence L Ong, Sarah Johnson
2012 Kellett CM, 'A project-based learning approach to programmable logic design and computer architecture', IEEE Transactions on Education, 55 378-383 (2012) [C1]
Citations Scopus - 13Web of Science - 5
2012 Ong LL, Kellett CM, Johnson SJ, 'On the equal-rate capacity of the AWGN multiway relay channel', IEEE Transactions on Information Theory, 58 5761-5769 (2012) [C1]
Citations Scopus - 23Web of Science - 13
Co-authors Lawrence L Ong, Sarah Johnson
2012 Ong LL, Johnson SJ, Kellett CM, 'The half-duplex AWGN single-relay channel: Full decoding or partial decoding?', IEEE Transactions on Communications, 60 3156-3160 (2012) [C1]
Citations Scopus - 4Web of Science - 1
Co-authors Sarah Johnson, Lawrence L Ong
2012 Dower PM, Zhang H, Kellett CM, 'Nonlinear L-2-gain verification for nonlinear systems', Systems & Control Letters, 61 563-572 (2012) [C1]
Citations Scopus - 10Web of Science - 5
2011 Ong LL, Johnson SJ, Kellett CM, 'The capacity region of multiway relay channels over finite fields with full data exchange', IEEE Transactions on Information Theory, 57 3016-3031 (2011) [C1]
DOI 10.1109/TIT.2011.2120010
Citations Scopus - 45Web of Science - 32
Co-authors Sarah Johnson, Lawrence L Ong
2011 Johnson SJ, Ong LL, Kellett CM, 'Joint channel-network coding strategies for networks with low-complexity relays', European Transactions on Telecommunications, 22 396-406 (2011) [C1]
Citations Scopus - 6Web of Science - 5
Co-authors Lawrence L Ong, Sarah Johnson
2010 Rueffer BS, Kellett CM, Dower PM, Weller SR, 'Belief propagation as a dynamical system: The linear case and open problems', IET Control Theory and Applications, 4 1188-1200 (2010) [C1]
DOI 10.1049/iet-cta.2009.0233
Citations Scopus - 2Web of Science - 1
Co-authors Bjorn Ruffer, Steven Weller
2010 Ruffer BS, Kellett CM, Weller SR, 'Connection between cooperative positive systems and integral input-to-state stability of large-scale systems', Automatica, 46 1019-1027 (2010) [C1]
DOI 10.1016/j.automatica.2010.03.012
Citations Scopus - 27Web of Science - 21
Co-authors Bjorn Ruffer, Steven Weller
2010 Ong LL, Johnson SJ, Kellett CM, 'An optimal coding strategy for the binary multi-way relay channel', IEEE Communications Letters, 14 330-332 (2010) [C1]
DOI 10.1109/LCOMM.2010.04.092427
Citations Scopus - 41Web of Science - 25
Co-authors Sarah Johnson, Lawrence L Ong
2008 Kellett CM, Weller SR, 'Bifurcations in iterative decoding and root locus plots', IET Control Theory and Applications, 2 1086-1093 (2008) [C1]
DOI 10.1049/iet-cta:20080090
Citations Scopus - 1Web of Science - 1
Co-authors Steven Weller
2007 Kellett CM, Teel AR, 'Sufficient conditions for robustness of KL-stability for difference inclusions', Mathematics of Control Signals and Systems, 19 183-205 (2007) [C1]
DOI 10.1007/s00498-007-0016-6
Citations Scopus - 5Web of Science - 4
2007 Leith DJ, Kellett C, Clifford P, Epperlein J, Shorten RN, 'A non-invasive method for link upgrade planning using coarse-grained measurements', IEEE COMMUNICATIONS LETTERS, 11 1037-1039 (2007) [C1]
DOI 10.1109/LCOMM.2007.071425
2007 Shorten RN, Kellett CM, Leith DJ, 'On the dynamics of TCP's higher moments', IEEE Communications Letters, 11 210-212 (2007) [C1]
DOI 10.1109/lcomm.2007.061477
Citations Scopus - 3Web of Science - 2
2007 Kellett CM, Middleton RH, Shorten RN, 'On AIMD congestion control in multiple bottleneck networks', IEEE Communications Letters, 11 631-633 (2007) [C1]
DOI 10.1109/lcomm.2007.070250
Citations Scopus - 3Web of Science - 1
Co-authors Richard Middleton
2006 Stanojevic R, Shorten RN, Kellett CM, 'Adaptive tuning of drop-tail buffers for reducing queueing delays', IEEE COMMUNICATIONS LETTERS, 10 570-572 (2006) [C1]
DOI 10.1109/LCOMM.2006.060243
Citations Scopus - 25Web of Science - 14
2005 Kellett CM, Teel AR, 'On the robustness of KL-stability for difference inclusions: Smooth discrete-time Lyapunov functions', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44 777-800 (2005) [C1]
DOI 10.1137/S0363012903435862
Citations Scopus - 51Web of Science - 37
2004 Kellett CM, Shim H, Teel AR, 'Further results on robustness of (Possibly discontinuous) sample and hold feedback', IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 49 1081-1089 (2004) [C1]
DOI 10.1109/TAC.2004.831184
Citations Scopus - 18Web of Science - 15
2004 Kellett CM, Teel AR, 'Discrete-time asymptotic controllability implies smooth control-Lyapunov function', SYSTEMS & CONTROL LETTERS, 52 349-359 (2004) [C1]
DOI 10.1016/j.sysconle.2004.02.011
Citations Scopus - 30Web of Science - 23
2004 Kellett CM, Teel AR, 'Smooth Lyapunov functions and robustness of stability for difference inclusions', SYSTEMS & CONTROL LETTERS, 52 395-405 (2004) [C1]
DOI 10.1016/j.sysconle.2004.02.015
Citations Scopus - 63Web of Science - 49
2004 Kellett CM, Teel AR, 'Weak converse Lyapunov theorems and control-Lyapunov functions', SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 42 1934-1959 (2004) [C1]
DOI 10.1137/S0363012901398186
Citations Scopus - 31Web of Science - 23
Show 32 more journal articles

Conference (59 outputs)

Year Citation Altmetrics Link
2016 Tran DN, Kellett CM, Dower PM, 'Input-to-state stability with respect to two measurement functions: Discrete-time systems', Proceedings of the IEEE Conference on Decision and Control (2016)

© 2015 IEEE. Input-to-state stability (ISS) with respect to two measurement functions subsumes many ISS-type properties such as input-to-output stability (IOS) and state-independ... [more]

© 2015 IEEE. Input-to-state stability (ISS) with respect to two measurement functions subsumes many ISS-type properties such as input-to-output stability (IOS) and state-independent input-to-output stability (SI-IOS). It also subsumes a version of incremental ISS. In this paper, we develop the notion of ISS with respect to two measurement functions for discrete-time systems and highlight the importance of commensurability of the two measurement functions and compactness of the zero set of the lower measurement function. Of particular interest, we show that the obvious extension of an implication-form ISS-Lyapunov function does not imply ISS with respect to two measurement functions.

DOI 10.1109/CDC.2015.7402474
2015 Weller SR, Hafeez S, Kellett CM, 'Feasibility of 2 °C as a post-2020 warming threshold via input-constrained optimal control', 2015 IEEE Conference on Control Applications (CCA) (2015) [E1]
Co-authors Steven Weller
2015 Braun P, Gruene L, Kellett CM, Weller SR, Worthmann K, 'A real-time pricing scheme for residential energy systems using a market maker', 2015 5th Australian Control Conference (AUCC) (2015) [E1]
Co-authors Steven Weller
2015 Hafeez S, Weller SR, Kellett CM, 'Steady-state and transient dynamic behavior of simple climate models for application in integrated assessment models', 2015 5th Australian Control Conference (AUCC) (2015) [E1]
Co-authors Steven Weller
2015 Weller SR, Hafeez S, Kellett CM, 'Estimates of the social cost of carbon using climate models derived from the CMIP3 ensemble', 3rd ASEAN Australian Engineering Congress (AAEC 2015) : Australian Engineering Congress on Innovative Technologies for Sustainable Development and Renewable Energy (2015) [E2]
Co-authors Steven Weller
2015 Ratnam E, Weller SR, Kellett CM, 'Assessing the benefits of net metering with residential battery storage', Proceedings 3rd ASEAN Australian Engineering Congress (AAEC 2015) (2015) [E2]
Co-authors Steven Weller
2015 Tofighi E, Faulwasser T, Kellett CM, 'Nonlinear model predictive control approach for structural load mitigation of wind turbines in presence of wind measurement uncertainties', 2015 Australian Control Conference, AUCC 2015 (2015)

© 2015 Engineers Australia. In this paper the design of nonlinear model predictive control (NMPC) for multi-mega watt wind turbines is addressed. In an attempt to minimize energy... [more]

© 2015 Engineers Australia. In this paper the design of nonlinear model predictive control (NMPC) for multi-mega watt wind turbines is addressed. In an attempt to minimize energy production costs, we propose an NMPC scheme to maximize the wind energy harvest while mitigating structural loads. The proposed controller relies on noisy look-ahead wind field information obtained via LIDAR measurements. By means of simulations we demonstrate the advantages of the proposed NMPC approach.

2015 Tran DN, Kellett CM, Dower PM, 'A discrete-time strong implication-form Lyapunov function for ISS systems with respect to positive semidefinite measurement functions', 2015 Australian Control Conference, AUCC 2015 (2015) [E1]

© 2015 Engineers Australia. In this paper, we study the notion of ISS with respect to two measurement functions for discrete-time systems. An example in previous work shows that,... [more]

© 2015 Engineers Australia. In this paper, we study the notion of ISS with respect to two measurement functions for discrete-time systems. An example in previous work shows that, in the two measurement function case, the existence of an implication-form ISS-Lyapunov function does not imply ISS. Here, we define a "strong" ISS-Lyapunov function and demonstrate that its existence is equivalent to ISS with respect to two measurement functions.

2015 Dower PM, Kellett CM, 'A small-gain feedback interconnection for bilinear systems', 2015 Australian Control Conference, AUCC 2015 (2015) [E1]

© 2015 Engineers Australia. Recently it has been shown that general bilinear systems satisfy a nonlinear L2-gain property, which is a qualitatively equivalent special case of the... [more]

© 2015 Engineers Australia. Recently it has been shown that general bilinear systems satisfy a nonlinear L2-gain property, which is a qualitatively equivalent special case of the more general integral input-to-state stability (iISS) property. By exploiting a small-gain theorem that attends this nonlinear L2-gain property, a nontrivial example of a feedback interconnection for general bilinear systems is constructed that preserves this nonlinear L2-gain property, and hence iISS, in closed loop.

2015 Ito H, Kellett CM, 'Preservation and interconnection of iISS and ISS dissipation inequalities by scaling', IFAC Proceedings Volumes (IFAC-PapersOnline) (2015) [E1]

Scaling of Lyapunov functions has been a central tool in analysis and design of nonlinear systems. In this paper, the essence of some scaling techniques used extensively in the li... [more]

Scaling of Lyapunov functions has been a central tool in analysis and design of nonlinear systems. In this paper, the essence of some scaling techniques used extensively in the literature is reformulated in view of preservation of dissipation inequalities of integral input-to-state stability (iISS) and input-to-state stability (ISS). The iISS small-gain theorem is revisited from this viewpoint. Preservation of ISS dissipation inequalities is shown to not always be necessary, while preserving iISS which is weaker than ISS is convenient. By establishing relationships between the Legendre-Fenchel transform and the reformulated scaling techniques, this paper proposes a way to construct less complicated Lyapunov functions for interconnected systems.

DOI 10.1016/j.ifacol.2015.09.282
2015 Weller SR, Hafeez S, Kellett CM, 'A receding horizon control approach to estimating the social cost of carbon in the presence of emissions and temperature uncertainty', 2015 IEEE 54th Annual Conference on Decision and Control (CDC) (2015) [E1]
Co-authors Steven Weller
2015 Tran DN, Kellett CM, Dower PM, 'Equivalences of stability properties for discrete-time nonlinear systems', IFAC Proceedings Volumes (IFAC-PapersOnline) (2015) [E1]

Several qualitative equivalences are demonstrated between various robust stability prop-erties for discrete-time nonlinear systems. In particu-lar, two different summation-to-summ... [more]

Several qualitative equivalences are demonstrated between various robust stability prop-erties for discrete-time nonlinear systems. In particu-lar, two different summation-to-summation estimates are shown to be equivalent to the standard defini-tions of Input-to-State Stability (ISS) and integral ISS (iISS), respectively. Furthermore, ISS and iISS are shown to be qualitatively equivalent, via a nonlinear change of coordinates, to linear and nonlinear l2-gain properties, respectively. These equivalences, together with a previous result on the equivalence of 0-input global asymptotic stability and iISS provide interesting relationships between discrete-time robust stability properties that do not hold in continuous-time.

DOI 10.1016/j.ifacol.2015.09.283
2015 Braun P, Gruene L, Kellett CM, Weller SR, Worthmann K, 'Predictive control of a smart grid: A distributed optimization algorithm with centralized performance properties', 54th IEEE Conference on Decision and Control (CDC 2015) (2015) [E1]
Co-authors Steven Weller
2015 Tofighi E, Schlipf D, Kellett CM, IEEE, 'Nonlinear Model Predictive Controller Design for Extreme Load Mitigation in Transition Operation Region in Wind Turbines', 2015 IEEE CONFERENCE ON CONTROL AND APPLICATIONS (CCA 2015) (2015) [E1]
2014 Ong L, Johnson SJ, Kellett CM, 'Optimal coding functions for pairwise message sharing on finite-field multi-way relay channels', 2014 IEEE International Conference on Communications, ICC 2014 (2014) [E1]

This paper considers the finite-field multi-way relay channel with pairwise message sharing, where multiple users exchange messages through a single relay and where the users may ... [more]

This paper considers the finite-field multi-way relay channel with pairwise message sharing, where multiple users exchange messages through a single relay and where the users may share parts of their source messages (meaning that some message parts are known/common to more than one user). In this paper, we design an optimal functional-decode-forward coding scheme that takes the shared messages into account. More specifically, we design an optimal function for the relay to decode (from the users on the uplink) and forward (back to the users on the downlink). We then show that this proposed function-decode-forward coding scheme can achieve the capacity region of the finite-field multi-way relay channel with pairwise message sharing. This paper generalizes our previous result for the case of three users to any number of users. © 2014 IEEE.

DOI 10.1109/ICC.2014.6883595
Co-authors Lawrence L Ong, Sarah Johnson
2014 Worthmann K, Kellett CM, Gruene L, Weller SR, 'Distributed control of residential energy systems using a market maker', Proceedings of the 19th IFAC World Congress, 2014 (2014) [E1]
DOI 10.3182/20140824-6-ZA-1003.01785
Citations Scopus - 3
Co-authors Steven Weller
2014 Grune L, Kellett CM, 'Strong Implication-Form ISS-Lyapunov Functions for Discontinuous Discrete-Time Systems', Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (2014) [E1]
2014 Ninness B, Tran KT, Kellett CM, 'Bayesian Dynamic System Estimation', Proceedings of the 53rd IEEE Conference on Decision and Control (2014) [E1]
DOI 10.1109/CDC.2014.7039656
Co-authors Brett Ninness
2014 Li H, Hafstein S, Kellett CM, 'Computation of Lyapunov Functions for Discrete-Time Systems using the Yoshizawa Construction', Proceedings of the 53rd IEEE Conference on Decision and Control (2014) [E1]
DOI 10.1109/CDC.2014.7040251
2014 Bjornsson J, Giesl P, Hafstein S, Kellett CM, 'Computation of Continuous and Piecewise Affine Lyapunov Functions by Numerical Approximations of the Massera Construction', Proceedings of the 53rd IEEE Conference on Decision and Control (2014) [E1]
DOI 10.1109/CDC.2014.7040250
Citations Scopus - 1
2014 Dower PM, Kellett CM, 'Nonlinear Systems with Nonlinear L2-gain', Proceedings of the 53rd IEEE Conference on Decision and Control (2014) [E1]
DOI 10.1109/CDC.2014.7039476
Citations Scopus - 2
2014 Faulwasser T, Lens D, Kellett CM, 'Offset-Free Output Feedback Predictive Control for Longitudinal Beam Dynamics in Heavy Ion Synchrotrons', Proceedings of the 2014 Australian Control Conference (2014) [E1]
2014 Dower PM, Kellett CM, 'Nonlinear L2-gain Verification for Bilinear Systems', Proceedings of the 2014 Australian Control Conference (2014) [E1]
2014 Faulwasser T, Lens D, Kellett CM, 'Predictive control for longitudinal beam dynamics in heavy ion synchrotrons', 2014 IEEE Conference on Control Applications, CCA 2014 (2014) [E1]

© 2014 IEEE. We present a design of a predictive control scheme for longitudinal beam dynamics in heavy ion synchrotrons. Specifically, we consider a linear-quadratic model predi... [more]

© 2014 IEEE. We present a design of a predictive control scheme for longitudinal beam dynamics in heavy ion synchrotrons. Specifically, we consider a linear-quadratic model predictive control (MPC) approach, whereby the quadratic program is solved via a fast gradient method. Furthermore, we investigate whether the fast gradient method allows for real-time feasible implementation of the proposed approach on a field programmable gate array (FPGA). Our results indicate that sampling rates in the order of 1MHz are achievable.

DOI 10.1109/CCA.2014.6981595
Citations Scopus - 2
2014 Hafstein S, Kellett CM, Li H, 'Continuous and piecewise affine Lyapunov functions using the Yoshizawa construction', Proceedings of the 2014 American Control Conference (2014) [E1]
DOI 10.1109/ACC.2014.6858660
Citations Scopus - 5
2013 Kellett CM, Wirth FR, Dower PM, 'Input-to-state stability, integral input-to-state stability, and unbounded level sets', Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems (2013) [E1]
DOI 10.3182/20130904-3-FR-2041.00046
Citations Scopus - 5
2013 Ratnam EL, Weller SR, Kellett CM, 'An Optimization-Based Approach for Assessing the Benefits of Residential Battery Storage and Solar PV', Bulk Power System Dynamics and Control - IX Optimization, Security and Control of the Emerging Power Grid (IREP), 2013 IREP Symposium (2013)
DOI 10.1109/IREP.2013.6629420
Co-authors Steven Weller
2013 Kellett CM, Dower PM, 'Stability of (integral) Input-to-State Stable Interconnected Nonlinear Systems via Qualitative Equivalences', 2013 3rd Australian Control Conference (AUCC) (2013) [E1]
DOI 10.1109/AUCC.2013.6697245
Citations Scopus - 1
2012 Dower PM, Kellett CM, Zhang H, 'A weak L2-gain property for nonlinear systems', Proceedings of the 51st IEEE Conference on Decision and Control (2012) [E1]
Citations Scopus - 5
2012 Kellett CM, Dowerz PM, 'A generalization of Input-to-State Stability', Proceedings of the 51st IEEE Conference on Decision and Control (2012) [E1]
Citations Scopus - 2
2011 Dower PM, Zhang H, Kellett CM, 'A verification theorem for nonlinear systems with nonlinear L 2-gain', Proceedings of the 2011 Australian Control Conference, AUCC 2011 (2011) [E1]
2011 Ong LL, Kellett CM, Johnson SJ, 'On achievable rate regions of the asymmetric AWGN two-way relay channel', 2011 IEEE International Symposium on Information Theory Proceedings (ISIT) (2011) [E1]
DOI 10.1109/ISIT.2011.6034256
Co-authors Sarah Johnson, Lawrence L Ong
2011 Ong LL, Timo R, Lechner G, Johnson SJ, Kellett CM, 'The finite field multi-way relay channel with correlated sources: The three-user case', 2011 IEEE International Symposium on Information Theory Proceedings (ISIT) (2011) [E1]
Citations Scopus - 1
Co-authors Lawrence L Ong, Sarah Johnson
2011 Zhang H, Dower PM, Kellett CM, 'State feedback controller synthesis to achieve a nonlinear L2-gain property', Proceedings of the 18th IFAC World Congress, 2011 (2011) [E1]
DOI 10.3182/20110828-6-it-1002.02281
Citations Scopus - 2
2010 Ruffer BS, Kellett CM, Dower PM, 'On copositive Lyapunov functions for a class of monotone systems', 9th International Symposium on Mathematical Theory Networks Systems (MTNS) (2010) [E2]
2010 Ruffer BS, Dower PM, Kellett CM, Weller SR, 'On robust stability of the belief propagation algorithm for LDPC decoding', Proceedings of the Mathematical Theory of Networks and Systems (MTNS) (2010) [E2]
Co-authors Steven Weller
2010 Ong LL, Johnson SJ, Kellett CM, 'The binary-symmetric parallel-relay network', Proceedings of the 2010 IEEE International Symposium on Information Theory (ISIT 2010) (2010) [E1]
DOI 10.1109/ISIT.2010.5513571
Co-authors Sarah Johnson, Lawrence L Ong
2010 Ong LL, Kellett CM, Johnson SJ, 'Capacity theorems for the AWGN multi-way relay channel', Proceedings of the 2010 IEEE International Symposium on Information Theory (ISIT 2010) (2010) [E1]
DOI 10.1109/ISIT.2010.5513576
Citations Scopus - 23Web of Science - 17
Co-authors Lawrence L Ong, Sarah Johnson
2010 Ong LL, Johnson SJ, Kellett CM, 'The capacity of a class of multi-way relay channels', Proceedings of the 12th IEEE International Conference on Communications Systems (ICCS 2010) (2010) [E1]
DOI 10.1109/ICCS.2010.5686491
Citations Scopus - 1
Co-authors Sarah Johnson, Lawrence L Ong
2010 Ong LL, Johnson SJ, Kellett CM, 'Functional-decode-forward for the general discrete memoryless two-way relay channel', Proceedings of the 12th IEEE International Conference on Communications Systems (ICCS 2010) (2010) [E1]
DOI 10.1109/ICCS.2010.5686490
Citations Scopus - 4
Co-authors Sarah Johnson, Lawrence L Ong
2010 Zhang H, Dower PM, Kellett CM, 'A bounded real lemma for nonlinear L2-gain', Proceedings of the 49th IEEE Conference on Decision and Control (2010) [E1]
Citations Scopus - 8Web of Science - 1
2010 Dower PM, Zhang H, Kellett CM, 'Nonlinear L2-gain analysis via a cascade', Proceedings of the 49th IEEE Conference on Decision and Control (2010) [E1]
Citations Scopus - 12Web of Science - 1
2009 Ruffer BS, Kellett CM, Weller SR, 'Integral input-to-state stability of interconnected iISS systems by means of a lower-dimensional comparison system', Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference, CDC/CCC 2009 (2009) [E1]
DOI 10.1109/cdc.2009.5400344
Citations Scopus - 3Web of Science - 1
Co-authors Steven Weller, Bjorn Ruffer
2009 Ong LL, Johnson SJ, Kellett CM, 'Achievable rate regions of the butterfly network with noisy links and end-to-end error correction', 2009 IEEE Information Theory Workshop (ITW 2009) (2009) [E1]
DOI 10.1109/ITW.2009.5351229
Citations Scopus - 1
Co-authors Lawrence L Ong, Sarah Johnson
2008 Dower PM, Kellett CM, 'A dynamic programming approach to the approximation of nonlinear L2-gain', Proceedings of the 47th IEEE Conference on Decision and Control (2008) [E1]
DOI 10.1109/cdc.2008.4738990
Citations Scopus - 17Web of Science - 3
2007 Johnson SJ, Kellett CM, 'Joint Network and Channel Coding for Cooperative Networks', 2007 AUSTRALASIANTELECOMMUNICATION NETWORKS AND APPLICATIONS CONFERENCE (2007)
Co-authors Sarah Johnson
2006 Middleton RH, Kellett CM, Shorten RN, 'Fairness and Convergence Results for Additive-Increase Multiplicative-Decrease Multiple-Bottleneck Networks', Proceedings of the 45th IEEE Conference on Decision and Control (2006) [E1]
Citations Web of Science - 1
Co-authors Richard Middleton
2006 Kellet CM, Weller SR, 'Fixed Points of EXIT Charts', Proceedings 7th Australian Communications Theory Workshop 2006 (2006) [E1]
Co-authors Steven Weller
2006 Kellett CM, Weller SR, 'Bifurcations and EXIT charts for the Binary Erasure Channel', ISIT 2006 (2006) [E1]
Citations Scopus - 1
Co-authors Steven Weller
2006 Kellett CM, Shorten RN, Leith DJ, 'Sizing Internet router buffers, active queue management, and the Lur'e problem', PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 (2006) [E1]
DOI 10.1109/CDC.2006.376740
Citations Scopus - 7Web of Science - 4
2006 Kellett CM, 'Root locus plots and iterative decoding', PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 (2006) [E1]
DOI 10.1109/CDC.2006.376931
2005 Kellett CM, Mareels IMY, Ne¿ic D, 'Stability results for networked control systems subject to packet dropouts', IFAC Proceedings Volumes (IFAC-PapersOnline) (2005) [E1]
2004 Kellett CM, Praly L, 'Nonlinear control tools for low thrust orbital transfer', Nonlinear control systems 2004 : a proceedings volume from the 6th IFAC symposium (2004) [E1]
2003 Kellett CM, Teel AR, 'Results on converse Lyapunov theorems for difference inclusions', 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS (2003) [E1]
2003 Kellett CM, Teel AR, 'Results on discrete-time control-Lyapunov functions', 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS (2003) [E1]
2002 Kellett CM, Shim HB, Teel AR, 'Robustness of discontinuous feedback via sample and hold control', PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6 (2002) [E1]
Citations Web of Science - 4
2002 Kellett CM, Teel AR, 'On robustness of stability and Lyapunov functions for discontinuous difference equations', PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4 (2002) [E1]
Citations Web of Science - 9
2000 Kellett CM, Teel AR, 'A converse Lyapunov theorem for weak uniform asymptotic stability of sets', Proceedings of Mathematical Theory of Networks and Systems (2000) [E1]
2000 Kellett CM, Teel AR, 'Uniform asymptotic controllability to a set implies locally Lipschitz control-Lyapunov function', PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 (2000) [E1]
Citations Web of Science - 8
Show 56 more conferences

Report (1 outputs)

Year Citation Altmetrics Link
2006 Kellett CM, Shorten RN, Leith DJ, 'Delay-based congestion control', Cisco Systems, Inc (2006) [R2]
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Grants and Funding

Summary

Number of grants 7
Total funding $1,732,802

Click on a grant title below to expand the full details for that specific grant.


20161 grants / $440,786

Activating Lyapunov-Based Feedback - Nonsmooth Control Lyapunov Functions$440,786

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Associate Professor Christopher Kellett, Professor Lars Grune, Dr Sigurdur Hafstein
Scheme Discovery Projects
Role Lead
Funding Start 2016
Funding Finish 2018
GNo G1500106
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

20121 grants / $30,000

Development of a distributed algorithm for assigning charge rates to electric vehicles (load management)$30,000

Funding body: CSIRO - Energy Technology

Funding body CSIRO - Energy Technology
Project Team Professor Rick Middleton, Associate Professor Christopher Kellett, Ms Sonja Stuedli
Scheme Postgraduate Research Scholarship
Role Investigator
Funding Start 2012
Funding Finish 2014
GNo G1200823
Type Of Funding Other Public Sector - Commonwealth
Category 2OPC
UON Y

20111 grants / $700,316

A General Framework for the Stability and Robustness of Dynamical Systems$700,316

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Associate Professor Christopher Kellett
Scheme Future Fellowships
Role Lead
Funding Start 2011
Funding Finish 2015
GNo G1100522
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

20083 grants / $351,700

Iterative coding for next generation networks$335,000

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Associate Professor Sarah Johnson, Associate Professor Christopher Kellett
Scheme Discovery Projects
Role Investigator
Funding Start 2008
Funding Finish 2010
GNo G0187513
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y

Nonlinear Control of Alternating Current Motors$15,000

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Associate Professor Christopher Kellett
Scheme Pilot Grant
Role Lead
Funding Start 2008
Funding Finish 2008
GNo G0189074
Type Of Funding Internal
Category INTE
UON Y

IEEE Conference on Decison and Control, Fiesta Americana, Cancun, Mexico, 9/12/2008 - 11/12/2008 $1,700

Funding body: University of Newcastle

Funding body University of Newcastle
Project Team Associate Professor Christopher Kellett
Scheme Travel Grant
Role Lead
Funding Start 2008
Funding Finish 2008
GNo G0189400
Type Of Funding Internal
Category INTE
UON Y

20071 grants / $210,000

Dynamical systems and iterative decoding of low-density parity-check codes$210,000

Funding body: ARC (Australian Research Council)

Funding body ARC (Australian Research Council)
Project Team Associate Professor Steven Weller, Associate Professor Christopher Kellett
Scheme Discovery Projects
Role Investigator
Funding Start 2007
Funding Finish 2009
GNo G0186267
Type Of Funding Aust Competitive - Commonwealth
Category 1CS
UON Y
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Research Supervision

Number of supervisions

Completed1
Current6

Total current UON EFTSL

Masters1.3
PhD1.3

Current Supervision

Commenced Level of Study Research Title / Program / Supervisor Type
2016 PhD Optimal Control of Climate-Economy Integrated Assessment Models
PhD (Electrical Engineering), Faculty of Engineering and Built Environment, The University of Newcastle
Co-Supervisor
2015 PhD Nonlinear Model Predictive Path Following Control for Model Robot
PhD (Electrical Engineering), Faculty of Engineering and Built Environment, The University of Newcastle
Principal Supervisor
2014 Masters Nonlinear Model Predictive Path Following Control for Model Robot
, Faculty of Engineering and Built Environment, The University of Newcastle
Principal Supervisor
2014 PhD Nonlinear Model Predictive Control of Wind Turbines using Look-ahead Wind Measurements
PhD (Electrical Engineering), Faculty of Engineering and Built Environment, The University of Newcastle
Principal Supervisor
2014 Masters Optimal Control of Climate-Economy Integrated Assessment Models
M Philosophy(Elec Engineering), Faculty of Engineering and Built Environment, The University of Newcastle
Co-Supervisor
2013 Masters Computational Solutions for Bayesian Inference in Dynamical Systems
M Philosophy(Elec Engineering), Faculty of Engineering and Built Environment, The University of Newcastle
Co-Supervisor

Past Supervision

Year Level of Study Research Title / Program / Supervisor Type
2016 PhD Balancing Distributor and Customer Benefits of Battery Storage Co-Located with Solar PV
PhD (Electrical Engineering), Faculty of Engineering and Built Environment, The University of Newcastle
Co-Supervisor
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News

Australian Research Council (ARC)

ARC Discovery Projects funding success 2016

November 4, 2015

Associate Professor Christopher Kellett, Professor Dr Lars Gruene and Associate Professor Sigurdur Hafstein been awarded $440,000 in ARC Discovery Project funding commencing in 2016 for their research project Activating Lyapunov-Based Feedback - Nonsmooth Control Lyapunov Functions.

Associate Professor Chris Kellet

University academic visits Japan for meeting of the minds

February 28, 2013

University of Newcastle academic Associate Professor Chris Kellett is one of eight Australian researchers travelling to Japan next week as part of the Australia Japan Emerging Research Leaders Exchange Program.

Associate Professor Christopher Kellett

Position

Associate Professor
School of Elect Engineering and Computer Science
Faculty of Engineering and Built Environment

Focus area

Electrical and Computer Engineering

Contact Details

Email chris.kellett@newcastle.edu.au
Phone (02) 4921 6090

Office

Location Callaghan
University Drive
Callaghan, NSW 2308
Australia
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