Fault tolerant tracking control for continuous Takagi-Sugeno systems with time varying faults

This paper deals with Fault Tolerant Control design for continuous nonlinear Takagi-Sugeno faulty systems. The goal is to ensure both state and fault estimation and the state reference tracking even if faults occur. In this study, the faults affecting the system behavior are considered as time varying functions modeled by exponential functions or first order polynomials. Based on descriptor redundancy property, solutions are proposed for both cases, exponential and polynomial faults, in terms of Linear Matrix Inequalities (LMI). In order to illustrate the applicability and the effectiveness of the proposed approaches, numerical examples are considered.