Einladung zum Vortrag im Kolloquium Technische Kybernetik

 Hybrid Systems: The Continuous Meets the Discrete in Systems and
 Control

Prof. Peter Caines
Systems and Control Theory
Center for Intelligent Machines 
Montreal
Kanada

    Zeit: Dienstag 17. 06. 2008 · 16:00 Uhr
    Ort: IST-Seminarraum 3.241 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen

Abstract

Hybrid systems have both continuous and discrete states which evolve subject to continuous (ODE governed) and discrete (automata governed) controlled dynamics. Such systems play a central role in contemporary control engineering due to the standard feedback  architecture of digital devices controlling  systems with both continuous and discrete properties. Examples of hybrid systems are to be found in chemical and automotive engineering, space vehicle control and communication networks; moreover, hybrid behaviour can be identified in optics and in thermodynamic systems.
In this talk we give a Hybrid Pontryagin Maximum Principle for general hybrid systems, a Hybrid Dynamic Programming theorem for regional hybrid systems (where the discrete state depends on the continuous state value) and present optimal control algorithms based on these results.

Biographical Information

Peter Caines received the BA in mathematics from Oxford University in 1967 and the PhD  in systems and control theory in 1970 from Imperial College, University of London.
After periods as a postdoctoral researcher and faculty member at UMIST, Stanford, UC Berkeley, Toronto and Harvard, he joined McGill University, Montreal, in 1980, where he is James McGill Professor and Macdonald Chair in the Department of Electrical and Computer Engineering. Peter Caines is a Fellow of the IEEE and was elected to the Royal Society of Canada in 2003; he is the author of {\it Linear Stochastic Systems}, John Wiley, 1988; his research interests lie in the areas of stochastic and large scale systems, and in hybrid and discrete event systems.