Adaptive fuzzy observer-based mismatched faults and disturbance design for singular stochastic T-S fuzzy switched systems

This paper deals with the problem of observer-based mismatched faults for switched singular fuzzy systems subject to disturbances. First, in order to obtain the estimation of unmeasurable or partially measurable states, fuzzy adaptive observer is obtained, eliminating the influence of external disturbances and mismatched faults, simultaneously. Second, by constructing appropriate piecewise Lyapunov functions and average dwell time, the switched singular fuzzy stochastic system with external parameter perturbations and faults is guaranteed to be robustly stable Further, by solving the linear matrix inequalities a sufficient condition to maintain the stability of error dynamic system is presented. Finally, to illustrate the proposed method is available, numerical examples are presented.

Automated summary

This paper addresses the problem of observer-based mismatched faults for switched singular fuzzy systems subject to disturbances. First, a fuzzy adaptive observer is obtained to estimate unmeasurable or partially measurable states while eliminating the influence of external disturbances and mismatched faults. Second, by constructing appropriate piecewise Lyapunov functions and average dwell time, the stability of the switched singular fuzzy stochastic system with external parameter perturbations and faults is guaranteed. Furthermore, a sufficient condition to maintain the stability of the error dynamic system is presented by solving linear matrix inequalities.