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Stabilization of Bilinear Systems Via Linear State-Feedback Control

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4 Author(s)
Amato, F. ; Sch. of Comput. & Biomed. Eng., Univ. degli Studi Magna Graecia di Catanzaro, Catanzaro ; Cosentino, C. ; Fiorillo, A.S. ; Merola, A.

This paper deals with the problem of stabilizing a bilinear system via linear state-feedback control. The proposed procedures enable us to compute a static state-feedback controller such that the zero-equilibrium point of the closed-loop system is asymptotically stable; moreover, it ensure that an assigned polytopic region is enclosed into the domain of attraction of the equilibrium point. The controller design requires the solution of a convex optimization problem involving linear matrix inequalities. The applicability of the technique is illustrated through an example, dealing with the design of a controller for a Cuk dc-dc converter.

Published in:

Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:56 ,  Issue: 1 )

Date of Publication:

Jan. 2009

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