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

Jinjie Huang, Xianzhi Hao, Jung Min Yang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In 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 (Figure presented.) 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.

Original languageEnglish
Pages (from-to)6824-6848
Number of pages25
JournalInternational Journal of Robust and Nonlinear Control
Volume33
Issue number12
DOIs
StatePublished - Aug 2023

Keywords

  • fault detection
  • residual evaluation function
  • switched systems
  • threshold function
  • unstable modes

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