Asynchronous fault detection filter design for switched systems based on event-triggered communication scheme

This paper is concerned with the fault detection problem of switched systems under event-triggered transmission mechanism. A fault detection filter is presented as a residual generator to detect the fault signal. Then, a method of the merging switching signal is introduced, the augmented fault detection system with the merged switching signal is established. By using the Lyapunov stability theory and the average dwell time method, some sufficient conditions are obtained such that the augmented system is exponentially stable and satisfies H
∞
performance under asynchronous switching. Furthermore, the corresponding coefficient matrices of the fault detection filters are also presented with the explicit expressions. Finally, a numerical example is used to show the effectiveness of the approach proposed in this paper.