Observer-based Exponential Stability for Time-varying Delay Switched Fuzzy System with Unmeasurable Premise Variables

Abstract

The exponential stability of the system under the unmeasurable premise variables is proposed. The corresponding controller design of the system is investigated. By using the Multiple Function method, the sufficient conditions for the exponential stability of the closed loop system are studied, and the corresponding design scheme of the switching law is given. The switching strategy satisfies the energy attenuation of the subsystem of the switching time delay fuzzy system in the switching time. Finally, the simulation results show the correctness and effectiveness of the research conclusions.