### Optimization and Systems Theory Seminar

Friday, December 6, 2002, 11.00-12.00, Room 3721, Lindstedtsvägen 25

**Professor
Manfred Morari**

Automatic Control Lab

Swiss Federal Institute of Technology ETHZ

Zürich, Switzerland

E-mail: morari@aut.ee.ethz.ch

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Optimal control of hybrid systems

Over the last few years we have focused on the development of
controller synthesis techniques for discrete time linear systems with
constraints, logic and switches (linear hybrid systems). At present,
there is a wealth of practical problems of this type which can only
be handled by trial and error, thus requiring excessive development
time. Our ultimate goal is to provide tools which automatically
generate controllers guaranteed to satisfy the designers'
specifications for such complex situations in much less time. In this
seminar I will first summarize our theoretical efforts, starting with
the solution of the famous Linear Quadratic Regulator problem for
systems with constraints. Then I will show how these results can be
extended to hybrid systems. I will conclude with a number of
application studies from areas as diverse as automotive systems,
power systems and biomedical engineering.

Calendar of seminars

*Last update: December 3, 2002 by
Anders Forsgren,
anders.forsgren@math.kth.se.
*