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Linear complementarity systems: modelling well-posedness and simulation.

Linear complementarity systems (LCS) arise from the connection of linear time-invariant dynamical systems with relations similar to ideal diode characteristics. Typical applications include electrical networks with ideal diodes, unilaterally constrained mechanical systems, piecewise linear systems, constrained optimal control problems, projected dynamical systems and so on. Also several connections exist to ,local specialities, of Zurich like the equivalence of discrete time LCS and Mixed Logical Dynamical systems and the control of constrained linear systems by MPC. After these modelling issues, the focus will be on results related to existence and uniqueness of solution trajectories (called well-posedness) of this subclass of hybrid dynamical systems. If time allows it, attention will be paid to simulation and discretisation of LCS by using time-stepping methods. In particular, for electrical circuits with ideal diodes (using the notion of passivity) consistency of the method can be proven and the nature of the solutions can be analysed elegantly.

Type of Seminar:
Public Seminar
Prof. Maurice Heemels
Eindhoven University of Technology Dept. of Electrical Engineering Building E-hoog, Room 4.26 P.O. Box 513 56OO MB Eindhoven The Netherlands
May 02, 2001   17:15

ETH Zentrum, ETZ E 6, Gloriastrasse 35, 8006 Zurich
Contact Person:

Prof. M. Morari
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Biographical Sketch:
Maurice Heemels was born in St. Odilienberg, (The Netherlands) on December 1, 1972. He received his M.Sc. degree (with honours) in mathematics from the Eindhoven University of Technology(The Netherlands) in 1995 under supervision of Prof. dr. ir. M.L.J. Hautus, Dr. A.A. Stoorvogel and Dr. ir. S.J.L. van Eijndhoven. The thesis was entitled "Optimal positive control and optimal control with positive state entries". He obtained the Ph.D. degree (cum laude)from the department of electrical engineering from the Eindhoven University of Technology in 1999. The Ph.D. work was entitled "Linear complementarity systems: a study in hybrid dynamics" and carried out under supervision of Prof. dr. ir. P.P.J. van den Bosch, Prof. dr. J.M. Schumacher and Dr. S. Weiland. Currently, he is working as an assistant professor in the field of hybrid dynamical systems at the control systems group of the department of electrical engineering of the Eindhoven University of Technology. Research interests: General hybrid system theory, piecewise linear systems, dynamics under inequality constraints, complementarity problems and systems