A Fault Detection Scheme for Switched Systems With Noise Under Asynchronous Switching

The main focus of this paper is to analyze and design the fault detection (FD) system for asynchronous switching systems subject to Gaussian noise. To this end, the discrete-time switched systems under synchronous switching is established first, then Kalman filter-based fault detection system is derived for the matched switching system. Furthermore, χ
²
test statistics is used to compute the threshold for FD purpose. The theoretical results are finally illustrated by a numerical example.