Asynchronous fault detection for continuous-time switched delay systems

This paper focuses on the fault detection (FD) problem for a class of continuous-time switched systems with state delay. Main goal is to design a switching strategy and its associated fault detection filters (FDFs) to detect faults. The switching signal of FDFs is first assumed to be with switching delay, which results in the asynchronous switching between the system modes and FDFs. Then, by constructing a novel switching strategy depending on the state and switching delays, the residual signal generated by FDFs is sensitive to fault while robust against disturbance under asynchronous switching. In addition, it is also shown that the proposed delay-dependent switching strategy can include some previous results, which illustrates its generality. The admissible solution of the FD problem is obtained by solving linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method is demonstrated by an example.