New stabilisation schemes for discrete delay systems with uncertain non-linear perturbations
New stabilisation schemes for discrete delay systems with uncertain non-linear perturbations
- Author(s): M.S. Mahmoud and Y. Xia
- DOI: 10.1049/iet-cta.2009.0475
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- Author(s): M.S. Mahmoud 1 and Y. Xia 2
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View affiliations
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Affiliations:
1: Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
2: Department of Automatic Control, Beijing Institute of Technology, Beijing, People's Republic of China
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Affiliations:
1: Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
- Source:
Volume 4, Issue 12,
December 2010,
p.
2937 – 2946
DOI: 10.1049/iet-cta.2009.0475 , Print ISSN 1751-8644, Online ISSN 1751-8652
New ℋ∞ controller design schemes are provided for a class of discrete-time systems with uncertain non-linear perturbations. The class includes both systems with time-varying delays and systems without delay. One design scheme is generated by state-feedback and the other scheme is based on proportional–summation–difference (PSD) feedback. An appropriate Lyapunov–Krasovskii functional (LKF) is constructed and a new parametrised characterisation is established in terms of feasibility-testing of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the theoretical developments.
Inspec keywords: H∞ control; uncertain systems; time-varying systems; discrete time systems; perturbation techniques; linear matrix inequalities; stability; nonlinear systems; Lyapunov methods; delay systems; state feedback; control system synthesis
Other keywords:
Subjects: Nonlinear control systems; Optimal control; Stability in control theory; Control system analysis and synthesis methods; Time-varying control systems; Linear algebra (numerical analysis); Distributed parameter control systems; Discrete control systems
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