LMI-Based Fault Detection Fuzzy Observer Design with Multiple Performance Constraints for a Class of Non-Linear Systems: Comparative Study
Over the last decades, many researchers have paid attention to the problem of observer-based Fault Detection and Diagnosis (FDD) for dynamic systems subjected to various possible faults. Most of the early studies are focused on linear systems. In more recent years, observer-based Fault Detection (FD) for nonlinear systems has received a great deal of attention. In view of the conservatism of the conventional Linear Matrix Inequality (LMI) based fault detection observer design for Takagi-Sugeno fuzzy nonlinear systems with more If-Then rules, an improved fuzzy observer design is presented. The identical transformation of matrix inequalities is employed to reduce the conservatism and the number of LMI constraints, which can accommodate to the models with more rules.