State feedback H∞ control for 2-D switched delay systems with actuator saturation in the second FM model

This paper is concerned with the problem of state feedback
stabilization of discrete two-dimensional switched delay systems with actuator saturation represented by the second Fornasini and Marchesini state-space model. Firstly, the saturation behavior is described with the help of the convex hull representation, and a sufficient condition for asymptotical stability of the closed-loop system is proposed in terms of linear matrix inequalities via the multiple Lyapunov functional approach. Then, a state feedback controller is designed to guarantee the
disturbance attenuation level of the corresponding closed-loop system. Finally, two examples are provided to validate the proposed results.