Robust fault detection approach for switched time-delay systems by using sliding mode observer

This study focuses on observer-based fault detection for switched systems with state delays. Firstly, for the generation of residual signal, a fault detection sliding mode observer is designed. Afterwards, a robust performance index is applied such that the residual error signal minimizes the impact of faults. Moreover, a Lyapunov function is employed for stability of the switched time-delay systems and the solution leads to a sufficient condition in terms of Linear Matrix Inequalities. Further more residual evaluation and threshold are computed for efficient fault detection. Finally, a numerical example is furnished to verify the performance of the design technique.