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

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 syste...

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Bibliographic Details
Published in:International journal of robust and nonlinear control 2023-08, Vol.33 (12), p.6824-6848
Main Authors: Huang, Jinjie, Hao, Xianzhi, Yang, Jung‐Min
Format: Article
Language:English
Subjects:
Discrete time systems
Dwell time
Fault detection
Filter design (mathematics)
Liapunov functions
residual evaluation function
Stability analysis
Subsystems
switched systems
threshold function
unstable modes
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Summary: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 H−/H∞$$ {H}_{-}/{H}_{\infty } $$ 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.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.6726