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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:
93B51Design techniques in systems theory
93D30Scalar and vector Lyapunov functions
93B50Synthesis problems
93D20Asymptotic stability of control systems
93C41Control problems with incomplete information