Finite-time H∞ control for a class of discrete-time switched time-delay systems with quantized feedback

This paper is concerned with the finite-time quantized H∞ 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∞ 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.

► We consider the finite-time quantized H∞ control problem for switched time-delay systems.
► The mode-dependent logarithmic quantizers are applied.
► Sufficient conditions are derived for the switched system to be finite-time bounded.
► The lower bound of the average dwell time can be calculated to restrict the switching signals.
► Mode-dependent quantized state feedback controller is designed by solving a set of LMIs.