Non-fragile memory feedback control for uncertain time-varying delay switched fuzzy systems with unknown nonlinear disturbance

Abstract

Currently, the feedback control rate of most nonlinear systems is realised by the memoryless state feedback controller which cannot affect the impact of time delay on the systems, and the general processing method of the Lyapunov–Krasovskii functional for the time-varying delay switched fuzzy systems (SFS) is more conservative. Therefore, this paper addresses the problem of non-fragile robust and memory state feedback control for switched fuzzy systems with unknown nonlinear disturbance. Non-fragile memory state feedback robust controller which has two controller gains different from each other, and switching law are designed to keep the proposed systems asymptotically stable for all admissible parameter uncertainties. Delay-dependent less conservative sufficient conditions are obtained through using the Lyapunov–Krasovskii functional method and free-weighting matrices depending on Leibniz–Newton, guaranteeing that the SFS can be asymptotically stable. A numerical example is given to illustrate the proposed controller performs better than the classic memoryless state feedback controller.