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Robust reliable control of switched uncertain systems with time-varying delay. (English) Zbl 1111.93022

Summary: This paper is concerned with reliable control problems for the switched uncertain systems with time varying delay. A method for designing robust reliable controller is presented by means of the multiple Lyapunov functions technique so that the energy-like functional does not have to decrease along the switching instants. The proposed controller is reliable in that it can guarantee the closed loop asymptotic stablility of switched delay systems in the case of the possible presence of failures of partial actuators. Delay independent results of the reliable controller design are presented in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example is given to illustrate the applicability of the proposed results.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
93D30 Lyapunov and storage functions
93B50 Synthesis problems
93D20 Asymptotic stability in control theory
93C41 Control/observation systems with incomplete information
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