Fuzzy unknown input observer-based robust fault estimation design for discrete-time fuzzy systems

摘要

This paper investigates the problem of fuzzy unknown input observer (FUIO)-based fault estimation for discrete-time Takagi-Sugeno fuzzy systems. Firstly, an augmented system description is given. Then a FUIO is proposed to achieve fault estimation, which is robust against the effect of the external disturbance. Furthermore, a less conservative FUIO design method is proposed by using a finite-frequency range technique instead of an entire-frequency method. The gain matrices of the FUIO are obtained by solving linear matrix inequalities. Finally, simulation results of a discrete-time nonlinear system are presented to illustrate the effectiveness of the proposed strategy.