Robust H∞ control for standard discrete-time singularly perturbed systems
Robust H∞ control for standard discrete-time singularly perturbed systems
- Author(s): J. Dong and G.-H. Yang
- DOI: 10.1049/iet-cta:20060234
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- Author(s): J. Dong 1 and G.-H. Yang 1
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View affiliations
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Affiliations:
1: College of Information Science and Engineering, Northeastern University, Shenyang, People's Republic of China
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Affiliations:
1: College of Information Science and Engineering, Northeastern University, Shenyang, People's Republic of China
- Source:
Volume 1, Issue 4,
July 2007,
p.
1141 – 1148
DOI: 10.1049/iet-cta:20060234 , Print ISSN 1751-8644, Online ISSN 1751-8652
The state feedback H∞ control problem for standard discrete-time singularly perturbed systems with polytopic uncertainties is considered. Two methods for designing H∞ controllers are given in terms of solutions to a set of linear matrix inequalities, where one of them is with the consideration of improving the upper bound of singular perturbation parameter ε. Moreover, a method of evaluating the upper bound of singular perturbation parameter ε with meeting a prescribed H∞ performance bound requirement is also given. Numerical examples are given to illustrate the effectiveness of the proposed methods.
Inspec keywords: linear matrix inequalities; singularly perturbed systems; H∞ control; discrete time systems; robust control; state feedback
Other keywords:
Subjects: Control system analysis and synthesis methods; Stability in control theory; Algebra; Optimal control; Discrete control systems; Algebra
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