Interval observers based fault detection for switched systems with L∞ performances

This paper deals with fault detection (FD) for a class of discrete-time switched systems with sensor faults. Under the assumption that disturbances and measurement noise are unknown but bounded, an L
_∞
criterion is introduced to attenuate the effects of uncertainties and to improve the accuracy of the proposed residual framers. The design conditions of the observer are given in terms of Linear Matrix Inequalities (LMIs). Furthermore, a FD decision is developed to indicate the presence of faults. Simulation results are provided to demonstrate the performance of the proposed method.