Observer-based output feedback control for discrete systems with quantised inputs
Observer-based output feedback control for discrete systems with quantised inputs
- Author(s): J. Zhang ; J. Lam ; Y. Xia
- DOI: 10.1049/iet-cta.2010.0148
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- Author(s): J. Zhang 1 ; J. Lam 2 ; Y. Xia 1
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View affiliations
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Affiliations:
1: Department of Automatic Control, Beijing Institute of Technology, Beijing, People's Republic of China
2: Department of Mechanical Engineering, University of Hong Kong, Hong Kong
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Affiliations:
1: Department of Automatic Control, Beijing Institute of Technology, Beijing, People's Republic of China
- Source:
Volume 5, Issue 3,
17 February 2011,
p.
478 – 485
DOI: 10.1049/iet-cta.2010.0148 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study is concerned with the problem of observer-based output feedback control for discrete-time systems with quantised inputs. Firstly, a new necessary and sufficient condition is established to guarantee the asymptotic stability of the closed-loop system. However, the condition is presented in terms of a matrix inequality that depends on quantisation parameters varying over certain intervals. To solve this problem, a new quantisation-density-dependent necessary and sufficient condition is derived. Based on such a condition, both full- and reduced-order observer-based quantised feedback controllers are designed via a single-step approach. Finally, numerical examples are given to show the effectiveness of the author's method.
Inspec keywords: matrix algebra; feedback; asymptotic stability; closed loop systems; observers; discrete time systems
Other keywords:
Subjects: Discrete control systems; Stability in control theory; Linear algebra (numerical analysis)
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