The quadratic stabilization resilient guaranteed cost control for a class of uncertain discrete-time switched linear systems

This paper focuses on the problem of resilient hybrid guaranteed cost control for a class of uncertain discrete-time switched linear systems. The controller gain to be designed is assumed to have additive and multiplicative gain variations. Based on multiple-Lyapunov function technique, the design of resilient hybrid guaranteed cost controllers is derived to make the corresponding closed-loop system quadratic stable for all admissible uncertainties. With these less conservative conditions the quadratic stability are easy to check and the upper bound of cost index can be satisfied. Finally, a simulation example illustrates the effectiveness of the roposed approach.