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A TOEPLITZ CHARACTERIZATION OF THE STATIC OUTPUT FEEDBACK STABILIZATION PROBLEM FOR LINEAR DISCRETE-TIME SYSTEMS
A. Astolfi*e, P. Colaneri
* Politecnico di Milano
Dipartimento di Elettronic a e Informazione
Piazza Leonar do da Vinci 32, 2 Midano (Italy)
colaneri@elet.polimi.it
e Dept. of Electrical and Electronic Eng. - Imperial College
Exhibition Road, London SW7 2BT, England (UK)
a.astolfi@ic.uc.uk
The static output feedback (SOF) stabilization problem for linear SIMO or MISO discrete-time systems is presented and characterized in terms of the properties of positive definite Toeplitz matrices. A global minimization problem in a compact sets is introduced whose solution, if any, guarantees closed-loop stability and the fulfillment of an upper bound to a suitable closed loop performance.
Session slot T-Mo-M18: Stability and stabilization (Linear Systems)/Area code 2b : Linear Systems
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