H∞ fault detection for linear discrete time-varying systems with delayed state
H∞ fault detection for linear discrete time-varying systems with delayed state
- Author(s): H. Zhao ; M. Zhong ; M. Zhang
- DOI: 10.1049/iet-cta.2009.0215
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- Author(s): H. Zhao 1 ; M. Zhong 2 ; M. Zhang 3
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View affiliations
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Affiliations:
1: School of Control Science and Engineering, Shandong University, Jinan, People's Republic of China
2: Department of Inertia Technology and Navigation Guidance Instrument, Beihang University, Beijing, People's Republic of China
3: School of Economics and Management, Beijing Jiaotong University, People's Republic of China
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Affiliations:
1: School of Control Science and Engineering, Shandong University, Jinan, People's Republic of China
- Source:
Volume 4, Issue 11,
November 2010,
p.
2303 – 2314
DOI: 10.1049/iet-cta.2009.0215 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study deals with the problem of H∞ fault detection for linear discrete time-varying systems with delayed state in the framework of H∞ filtering. The design of the H∞ fault detection filter (FDF) is firstly converted into the minimum problem of an indefinite quadratic form. After introducing a corresponding Krein space stochastic system and building a relationship with projection, a sufficient and necessary condition on the existence of the minimum is derived by applying innovation analysis. A solution to the H∞-FDF is obtained in terms of matrix difference equations. Numerical examples are given to demonstrate the effectiveness of the proposed method.
Inspec keywords: matrix algebra; fault diagnosis; discrete systems; linear systems; delays; stochastic systems; H∞ control
Other keywords:
Subjects: Linear algebra (numerical analysis); Distributed parameter control systems; Optimal control; Discrete control systems; Time-varying control systems
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