A Kalman Decomposition for Robustly Unobservable Uncertain Linear Systems

Prof. Ian Petersen (UNSW, ADFA)

DATE: 2005-10-28
TIME: 11:00:00 - 12:00:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU

ABSTRACT:
This talk considers the structure of uncertain linear systems building on a concept of robust unobservability which was introduced in a previous paper. Compared to the previous paper, this talk specialises to the case of linear time invariant uncertain systems with unstructured uncertainty described by an averaged integral quadratic constraint. The talk presents a new characterisation of the robustly unobservable states and shows that this leads to a Kalman type decomposition for uncertain linear systems with robustly unobservable states.

BIO:
Professor Ian Petersen is an Australian Research Council Professorial Fellow at the School of Information Technology and Electrical Engineering, University of New South Wales at the Australian Defence Force Academy.

In 1979 Prof. Petersen completed a Bachelor of Engineering (Electrical) with First Class Honours at the University of Melbourne. Prof. Petersen completed a Master of Science (Electrical Engineering) at University of Rochester, USA in 1980. Going on to complete a Ph.D. at Rochester in 1984. Prof. Petersen was a postdoctoral fellow at the Department of Systems Engineering, Research School of Physical Sciences, ANU (1983-85), before accepting a position at University of New South Wales at the Australian Defence Force Academy in 1985.

Prof. Petersen's primary area of research interest is in the fields of Systems and Control and in particular in the area of Robust Control Theory. Within the area of systems and control theory, particular research interests have been as follows: * The Quadratic Stability Approach to Robust Control System Design * Integral Quadratic Constraints in Robust and Nonlinear Control Theory. * H-infinity Control Theory. * Robust Kalman Filtering. * Information State Approaches to Nonlinear Control Theory. * Robust Stochastic Control Theory and Risk Sensitive Control. * Robust Feedback Control of Quantum Systems.

A component of the research has involved applying control theory and in particular robust control theory to engineering applications. These applications have included: * Control of Flexible Structures using Smart Materials * Active Noise Control. * Control of Electrical Machines.

Prof. Petersen has written many highly cited publications on robust control and served as an associate editor on a number of journals including: IEEE Transactions on Automatic Control, Control & Estimation Theory, Automatica and SIAM Journal on Control & Optimization.

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