Abstract

In this paper, fault detection is studied for discrete-time 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 <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> 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.

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