Fault‐Tolerant Control for Discrete‐Time Switched Linear Systems with Time‐Varying Delay and Actuator Saturation

In this paper, the fault‐tolerant control for a class of discrete‐time switched systems with time‐varying delay and actuator saturation is investigated. By using a newly constructed Lyapunov functional and the average dwell time scheme, a design procedure is developed for the mode‐dependent state feedback controller which ensures the exponential stability of the closed‐loop systems. Moreover, an optimization problem with linear matrix inequality (LMI) constraints is formulated to estimate the domain of attraction of the origin for the underlying systems. A numerical example is finally given to illustrate the effectiveness of the proposed method.