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STABILIZING HYBRID CONTROL LAWS
Patrick De Leenheer* Henk Nijmeijer** Bram De Jager**
* Arizona State University
Department of Mathematics
Tempe, AZ 85287, USA
email: leenheer@math.la.asu.edu
** Eindhoven University of Technology
Department of Mechanical Engineering
P.O. Box 513, 5600 MB Eindhoven, The Netherlands
email: H.Nijmeijer@tue.nl,
A.G.de.Jager@wfw.wtb.tue.nl
Hybrid control laws often naturally arise in stabilization problems with constrained control. These control laws are sometimes not smooth which can lead to difficulties in stability proofs. In this paper we show that for a certain class of hybrid systems the stability properties follow from the stability properties of an appropriate linearization. As an application we show that surge in a simple compressor model can be eliminated by a positive, hybrid feedback law.
Keywords: Hybrid modes, Stabilizing controllers, Constraints, Linearization, Compressors
Session slot T-Mo-M07: Hybrid, Switching and Discrete Systems/Area code 2c : Non-linear Systems
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