Fault Estimation Based on the Observer Design for Discrete-time Takagi-Sugeno Descriptor Models

摘要

A study of fuzzy observer design in explicit structure for simultaneous state and fault estimation for a class of discrete-time Takagi-Sugeno descriptor models (DTSDMs) in presence of actuator and sensor faults is considered in this paper. The approach is based on the second equivalent form of an implicit model [1] where the dynamic equations are completely separated of the static equations. First, the method permitting to separate the difference variables from the algebraic variables is presented. The conditions of exponential stability are given in term of linear matrix inequalities (LMIs) by using the Lyapunov theory. Finally, an application to a DTSDM of a single-link flexible joint robot is presented to highlight the performance of the proposed approach.