Non-fragile dynamic output feedback control for linear systems with time-varying delay
Non-fragile dynamic output feedback control for linear systems with time-varying delay
- Author(s): L. Li and Y. Jia
- DOI: 10.1049/iet-cta.2008.0008
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- Author(s): L. Li 1 and Y. Jia 1
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View affiliations
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Affiliations:
1: Department of Systems and Control, Beihang University, Beijing, People's Republic of China
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Affiliations:
1: Department of Systems and Control, Beihang University, Beijing, People's Republic of China
- Source:
Volume 3, Issue 8,
August 2009,
p.
995 – 1005
DOI: 10.1049/iet-cta.2008.0008 , Print ISSN 1751-8644, Online ISSN 1751-8652
This paper is devoted to the problems of non-fragile H∞ and L2–L∞ control for a class of linear systems with time-varying state delay. The purpose is to design a dynamic output feedback controller with additive gain variations such that the closed-loop system is asymptotically stable while satisfying a prescribed H∞ (or L2–L∞) performance level. By using linear matrix inequality approach, a delay-dependent stability criterion is obtained by introducing a new type of Lyapunov–Krasovskii functional. Based on the obtained criterion, sufficient conditions for the existence of desired controllers are derived, and the corresponding stabilisation dynamic output feedback controller design algorithm is proposed. Numerical examples are included to illustrate the benefit and effectiveness of the proposed method.
Inspec keywords: linear systems; Lyapunov methods; feedback; delays; H∞ control; time-varying systems; asymptotic stability; control system synthesis; closed loop systems; linear matrix inequalities
Other keywords:
Subjects: Optimal control; Linear algebra (numerical analysis); Time-varying control systems; Control system analysis and synthesis methods; Distributed parameter control systems; Stability in control theory
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