Fault-tolerant H∞ control for discrete descriptor linear time-delay systems via memory static output feedback

The problem of fault-tolerant H
_∞
control is considered for a class of discrete descriptor linear time-delay systems whose sensors satisfy a continuous fault model. Based on Lyapunov stability theory and linear matrix inequality(LMI) approach, a sufficient condition for the existence of memory static output feedback, guaranteeing that the resultant closed-loop system is admissible and its H
_∞
norm is bounded by a pre-specified positive number is presented. The static output feedback is constructed by a solution of a group of LMI. A numerical example illustrates the validity of the proposed approach.