Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators
Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators
- Author(s): J. Qiu ; Y. Xia ; H. Yang ; J. Zhang
- DOI: 10.1049/iet-cta:20070070
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- Author(s): J. Qiu 1 ; Y. Xia 2 ; H. Yang 1 ; J. Zhang 2
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View affiliations
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Affiliations:
1: College of Sciences, Hebei University of Science and Technology, Shijiazhuang, People's Republic of China
2: Department of Automatic Control, Beijing Institute of Technology, Beijing, People's Republic of China
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Affiliations:
1: College of Sciences, Hebei University of Science and Technology, Shijiazhuang, People's Republic of China
- Source:
Volume 2, Issue 1,
January 2008,
p.
87 – 93
DOI: 10.1049/iet-cta:20070070 , Print ISSN 1751-8644, Online ISSN 1751-8652
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The problem of robust state feedback control using delta operator approach for a class of linear fractional uncertain systems with time-varying delays is investigated. Based on Lyapunov–Krasovskii functional in delta domain, a new delay-dependent state feedback controller is presented in terms of linear matrix inequalities. The sampling-period T is an explicit parameter, and thus it is easy to observe and analyse the effect of the state feedback controller with different sampling periods. The proposed method can unify some previous related continuous and discrete systems into the framework of delta operator systems. Numerical examples are given to illustrate the effectiveness of the developed techniques.
Inspec keywords: robust control; time-varying systems; discrete time systems; state feedback; uncertain systems; delays; Lyapunov methods; linear matrix inequalities
Other keywords:
Subjects: Distributed parameter control systems; Time-varying control systems; Discrete control systems; Linear algebra (numerical analysis); Stability in control theory
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