Finite-time $$H_{\infty }$$ control for a class of discrete-time switched time-delay systems with quantized feedback.(English)Zbl 1263.93072

Summary: This paper is concerned with the finite-time quantized $$H_{\infty }$$ control problem for a class of discrete-time switched time-delay systems with time-varying exogenous disturbances. By using the sector bound approach and the average dwell time method, sufficient conditions are derived for the switched system to be finite-time bounded and ensure a prescribed $$H_{\infty }$$ disturbance attenuation level, and a mode-dependent quantized state feedback controller is designed by solving an optimization problem. Two illustrative examples are provided to demonstrate the effectiveness of the proposed theoretical results.

MSC:

 93B36 $$H^\infty$$-control 93C55 Discrete-time control/observation systems 93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
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