Non-fragile control of switched systems with memory feedback based on convex optimization

In this paper, we study the non-fragile (Here, the term "non-fragile" refers to robustness against controller perturbations) robust stabilization problem for discrete time-delay switched systems with memory feedback and actuator saturation. Our objective is to design a switching law and a non-fragile state feedback control law with memory such that the closed-loop system is asymptotically stable at the origin with a large domain of attraction. Via the switched Lyapunov functional approach, sufficient conditions for non-fragile robust stabilization are derived. If some scalars parameters are selected in advance, we present the non-fragile state feedback control law with memory and maximizing the estimated region of attraction by solving a convex optimization problem with LMI constraints. Furthermore, the numerical example is given to verify the effectiveness of the proposed method by comparing the state response or the size of estimation of domain of attraction under the action of the state feedback control law with memory and the memoryless controller.