Ellipsoid-based sensor fault detection for discrete-time switched systems

摘要

In this paper, fault detection is studied for discretetime switched systems subject to unknown but bounded disturbances and measurement noise. A fault detection observer with a new structure is investigated based on an L∞ criterion to attenuate the effects of uncertainties. The design conditions are given in terms of Linear Matrix Inequalities using Multiple Quadratic Lyapunov Functions, under an Average Dwell Time switching signal. In addition, the FD results are obtained via an ellipsoidal analysis. Finally, a numerical example is performed to illustrate the effectiveness of the proposed approach.