Fault tolerant control based on adaptive observer for Takagi-Sugeno fuzzy descriptor systems

The goal of this paper is to study the problem of fault-tolerant control (FTC) for Takagi-Sugeno fuzzy descriptor system by using Adaptive Observer. According to the Layponov functional method and the use of a set of Linear Matrices Inequalities (LMIs), the stability of the T-S system has been realised. By using the gains calculated by the toolbox YALMIP of MATLAB we have the estimated states and the estimated of the actuator fault. Although in many papers constant actuator faults are mostly concerned, in this work we assume a time-varying actuator faults. In the end, simulation results are given to illustarte the performances of the propounded actuator fault estimation by adopting an electrical circuit.