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Stabilizing linear time-invariant systems with finite-state hybrid static output feedback

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2 Author(s)
Guisheng Zhai ; Fac. of Syst. Eng., Wakayama Univ., Japan ; Xinkai Chen

For linear time-invariant (LTI) systems which are not stabilizable by single state feedback or single static output feedback, we consider a hybrid control strategy composed of a finite set of static output feedback controllers and a switching law so that the closed-loop system is asymptotically stable when the controllers are switched under the switching law. Multiple Lyapunov functions and piecewise observers are used to determine the switching law, and a sufficient condition is derived for the existence and the computation of Lyapunov functions and static output feedback gains.

Published in:

Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on  (Volume:1 )

Date of Conference:

2002