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Improved LMI formulation for robust dynamic output feedback controller design of discrete-time switched systems via switched Lyapunov function

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4 Author(s)
Ben Attia, S. ; Lab. of Anal. & control of Syst. (LACS), Nat. Sch. of Eng. of Tunis, Belvedre, Tunisia ; Salhi, S. ; Ksouri, M. ; Bernussou, J.

This paper concerns dynamic output feedback design of discrete-time linear switched systems using switched Lyapunov functions (SLF). A new characterization of stability H¿ performance for the switched system under arbitrary switching is first given. The various conditions are given through a family of LMI (linear matrix inequalities) parameterized by a scalar variable which offers an additional degree of freedom, enabling, at the expense of a relatively small degree of complexity in the numerical treatment (one line search), to provide better results compared to previous results. The control is defined as a switched dynamic output feedback which guarantees stability and H¿ performance for the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed conditions.

Published in:

Signals, Circuits and Systems (SCS), 2009 3rd International Conference on

Date of Conference:

6-8 Nov. 2009