Finite-time Fault Detection Filtering for Switched Singular Systems with All Modes Unstable: an ADT Approach

This paper finishes the fault detection (FD) problem for switched singular systems with all subsystems unstable. Considering the particularity of singular systems, the regularity and impulse-free property analysis on it are carried out. Utilizing a time-driven switching strategy, a switching signal is proposed and the finite-time stability is guaranteed firstly. Then, with the help of discretized Lyapunov function, a piecewise Lyapunov function is employed to accomplish the finite-time boundedness with L2-gain analysis. Through transferring the fault detection filters design into the L2-gain analysis, we can obtain the existence conditions of the FD detector via linear matrices inequalities (LMIs). Finally, the effectiveness and validity are illustrated by two examples.