Satisfactory Control for a Class of Uncertain Switched Linear Systems

Abstract

Abstract: The problem of satisfactory control for a class of uncertain switched linear systems was studied. The state feedback controller with closed-loop H infinity index and every subsystem with circular pole index, feedback gain and steady variance was designed. A sufficient condition for the switched system with above four indices was obtained. Meanwhile, by linear matrix inequalities (LMI) approach, the design of state feedback controllers with above four indices was transformed into the feasible problem of some certain LMI. The state feedback controllers can be efficiently solved by means of Matlab LMI toolbox. Finally, a numerical example shows the validity of the proposed design method.

Key words: linear switched systems, satisfactory control； linear matrix inequalities （LMI）； multi-indices

CLC Number:

TP273

DONG Xue-Ping, SU Yu-Tian. Satisfactory Control for a Class of Uncertain Switched Linear Systems[J]. Journal of Shanghai Jiaotong University, 2011, 45(08): 1196-1201.

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