Stabilising slow-switching laws for switched discrete-time linear systems
Stabilising slow-switching laws for switched discrete-time linear systems
- Author(s): A.-G. Wu ; G. Feng ; G.-R. Duan ; H. Gao
- DOI: 10.1049/iet-cta.2010.0643
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- Author(s): A.-G. Wu 1 ; G. Feng 2 ; G.-R. Duan 3 ; H. Gao 4
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View affiliations
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Affiliations:
1: Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, People's Republic of China
2: Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong
3: Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, People's Republic of China
4: Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, People's Republic of China
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Affiliations:
1: Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, People's Republic of China
- Source:
Volume 5, Issue 16,
3 November 2011,
p.
1843 – 1858
DOI: 10.1049/iet-cta.2010.0643 , Print ISSN 1751-8644, Online ISSN 1751-8652
For a class of switched discrete-time linear systems, a state-dependent switching law with dwell time is designed to make the overall system asymptotically stable. A main feature is that the Lyapunov-like function may not be monotonically decreasing in both time-driven and state-driven periods, and this feature allows the proposed stabilising switching law being of lower switching frequency in contrast with recent results. An illustrative example is employed to show the effectiveness of the proposed switching law. Furthermore, it is shown that the proposed switching law ensures that a bounded perturbation implies bounded states, and a convergent perturbation implies convergent states. When the system state is not available, an observer-based state-dependent switching law with dwell time is also developed.
Inspec keywords: Lyapunov methods; linear systems; time-varying systems; control system synthesis; discrete time systems; observers; asymptotic stability; perturbation techniques
Other keywords:
Subjects: Stability in control theory; Control system analysis and synthesis methods; Time-varying control systems; Discrete control systems
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