Reliable H∞ control for discrete-time singular systems with infinite distributed delays

In this paper, the reliable H_∞ control problem is investigated for discrete-time singular systems with time delays and actuator failures. The time-delays are assumed to be infinitely distributed in the discrete-time domain. The purpose is to design a controller such that, for the admissible infinite distributed delays and possible actuator failures, the closed-loop system is regular, causal and stable with a given disturbance attenuation level γ. A numerical example illustrates the validity of the proposed approach.