Design of Fuzzy Observer for a Class of Takagi-Sugeno Descriptor Models to Simultaneously Estimate States and Faults

Kaoutar Ouarid, Abdellatif El Assoudi, Jalal Soulami and El Hassane El Yaagoubi

This article discusses a fuzzy observer design with the aim of defining a method that ensures the fault estimation of the actuator and sensor for the case of nonlinear implicit systems expressed by Takagi-Sugeno (T-S) model. The examination is founded on separating the static equations from the dynamic equations of the T-S implicit model (TSIM) under consideration and using an explicit structure of the augmented model. The method used to separate differential equations from algebraic equations is first developed. The explicit structure of the augmented model is then calculated. A fuzzy observer is built along these lines to approximate at the same time the unmeasurable states and the unknown faults. The exponential stability of the error of calculation shall be tested using the Lyapunov theory and the stability parameters are calculated in terms of linear matrix inequalities (LMIs). Finally, the implementation of the one-link flexible joint robot model shall be given in such a way as to represent the exhibitions of the suggested technique of simultaneous state and fault estimation.

Volume 12 | 05-Special Issue

Pages: 239-250

DOI: 10.5373/JARDCS/V12SP5/20201754