|Finite-time Fault Detection Filtering for Switched Singular Systems with All Modes Unstable: an ADT Approach
Qingyu Su, Zhongxin Fan, Dezhen Zhang, and Jian Li*
International Journal of Control, Automation, and Systems, vol. 17, no. 8, pp.2026-2036, 2019
Abstract : 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.
Average dwell time, fault detection, switched singular system, unstable subsystems, weighted L2-gain.