Observer-based memory state feedback control for switched fuzzy systems

Abstract

For switched fuzzy systems with time-varying delays, this paper designs the observers to estimate unmeasured state variables in the system when the state of the system is unmeasurable, and designs the memory state feedback controller which introduce the past information of the system state to eliminate the influence of time delay on the system. Based on the definition of Lyapunov stability, a sufficient condition of asymptotic stability of the closed-loop system under a given switching law is obtained, then convert it into a linear matrix inequality form that MATLAB can solve, and obtain the condition that meet the observer gain and the controller gain. Finally, the state curve and control curve of memory state feedback control are given by simulink, which verifies the effectiveness and feasibility of the proposed method.