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Journal of Control Science and EngineeringVolume 2009 2009, Article ID 362920, 7 pages

Research ArticleElectrical Branch, National Engineering School of Tunis ENIT, University EL Manar, BP-37, le Belvdere, 1002 Tunis, Tunisia

Received 12 January 2009; Revised 9 September 2009; Accepted 7 October 2009

Academic Editor: Pablo Iglesias

Copyright © 2009 Selma Ben Attia et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper concerns static output feedback design of discrete-time linear switched system usingswitched Lyapunov functions SLFs. A new characterization of stability for the switched system underarbitrary switching is first given together with -performance evaluation. The various conditionsare given through a family of LMIs Linear Matrix Inequalities parameterized by a scalar variablewhich offers an additional degree of freedom, enabling, at the expense of a relatively small degreeof complexity in the numerical treatment one line search, to provide better results compared toprevious one. The control is defined as a switched static output feedback which guarantees stabilityand -performance for the closed-loop system. A numerical example is presented to illustrate theeffectiveness of the proposed conditions.





Autor: Selma Ben Attia, Salah Salhi, and Mekki Ksouri

Fuente: https://www.hindawi.com/



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