Stability analysis and fault detection filter design for discrete‐time switched systems with all modes unstable

Abstract

AbstractIn this article, we investigate the stabilization and fault detection problem for discrete‐time switched systems with all modes unstable. A set of mode‐dependent fault detection filters are designed with respect to each subsystem and combined with the switched system into an augmented switched system. Sufficient conditions for both guaranteeing globally uniformly asymptotically stable (GUAS) and performance of the augmented switched system are derived by utilizing the discretized Lyapunov function technique and dwell time (DT) switching strategy. A novel pair of the residual evaluation function and threshold function are also provided for improving the sensitivity and practicability of fault detection logic. Numerical experiments demonstrate the effectiveness of the proposed method.