Non-fragile reliable sampled-data controller for nonlinear switched time-varying systems

This paper addresses dissipative-based stability analysis and robust mixed non-fragile reliable control design for an uncertain nonlinear switched system. In particular, actuator failures and time-varying delay with a known upper bound on the sampling intervals are taken into account of the considered system. By using a matrix inequality approach and by constructing a proper Lyapunov-Krasovskii functional that utilizes the complete available information about the actual sampling pattern and time-varying delay, we formulate stability conditions and a control design procedure in the form of linear matrix inequalities for obtaining the required result. More precisely, a dissipative based non-fragile reliable sampled-data controller is designed such that the resulting closed-loop switched system is reliable in the sense that it is exponentially stable and satisfies certain dissipative performance index under the given conditions. It should be mentioned that the implemented Lyapunov functionals are more general since they incorporate the nonlinearities of the system model in its design. Further, the performance of the proposed controller is demonstrated through a numerical example to show the validity and applicability of the proposed design technique.