Robust fault estimation based on Proportional Integral observer for Takagi-Sugeno fuzzy systems

The problem of robust fault estimation in studied in this paper for Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays, external disturbances and faults. Assumed that faults are signals that change over time, in addition, their k-order derivatives are limited by a constant. Then a Proportional Integral observer is constructed to ensure the asymptotic stability of the error dynamic system under the specified H
_∞
performance. Finally, the effectiveness of the proposed method is verified through simulation results.