Robust switching law design for uncertain time-delay switched linear systems

Guaranteed cost control (GCC) is an impressive method of controlling nonlinear systems‎, ‎incredibly uncertain switched systems‎. ‎Most of the recent studies of GCC on uncertain switched linear systems have been concerned with asymptotic stability analysis‎. ‎In this paper‎, ‎a new robust switching law for time-delay uncertain switched linear systems is designed‎. ‎First‎, ‎the switching law is designed‎, ‎and second‎, ‎a state-feedback controller based on Lyapunov-Krasovskii Functional (LKF) is designed‎. ‎Also‎, ‎using Linear Matrix Inequality (LMI) particular condition for the existence of a solution of obtained switching law and controller is achieved‎. ‎Consequently‎, ‎in the presented theorems‎, ‎the exponential stability of the overall system under switching law and controller is analyzed‎. ‎Finally‎, ‎theoretical results are verified via presenting an example.