Fault detection filter design for a class of discrete-time impulsive switched systems with quantised signals

This paper addresses the fault detection scheme for discrete-time nonlinear impulsive switched systems with a dynamic quantizer which is constituted with a dynamic parameter and a static quantizer. The stability of the given systems and the effective fault detection scheme are the goals of this problem. Consequently, model an original impulsive switched system with quantised signals, a switching strategy which is based on Lyapunov function and average dwell time is proposed. Subsequently, for practical network transmission channels requirement, the quantizer range and quantisation error are completely considered here to design a novel fault detection scheme, the sufficient conditions of designed fault detection filter are established by linear matrix inequality method. Finally, an illustrative example is introduced to demonstrated the validity of the presented method.