Einladung zum Vortrag im Kolloquium Technische Kybernetik

Coordination control of linear systems

Pia L. Kempker
Dept. of Mathematics, FEW
Vrije Universiteit Amsterdam

Tuesday, 08. May 2012, 4:00 p.m.
IST-Seminar-Room 3.243 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen

Abstract

Coordinated linear systems are particular hierarchical systems, characterized by conditional independence and invariance properties of the underlying linear spaces. Any distributed linear system can be transformed into a coordinated linear system, using observability decompositions. The motivation behind studying these systems is that some global control objectives can be achieved via local controllers: For example, global stabilizability reduces to local stabilizability of all subsystems. The corresponding LQ problem separates into independent LQ problems on the lower level, and a more involved control problem on the higher level. For the latter problem, possible approaches include using subsystem observers, numerical optimization, and event-based feedback.

Biographical Information

Pia L. Kempker studied Mathematics at Jacobs University Bremen (B.Sc.) and at the Vrije Universiteit Amsterdam (M.Sc., thesis "Optimal control for dike levels", 2008). Currently she is a PhD student at the Department of Mathematics of the Vrije Universiteit Amsterdam, under supervision of Jan H. van Schuppen (CWI / TU Delft) and Andre Ran (VU). Her PhD research involves the construction, properties and control of coordinated linear systems.