Non-linear observer design for one-sided Lipschitz systems: an linear matrix inequality approach
Non-linear observer design for one-sided Lipschitz systems: an linear matrix inequality approach
- Author(s): W. Zhang ; H.-S. Su ; Y. Liang ; Z.-Z. Han
- DOI: 10.1049/iet-cta.2011.0386
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- Author(s): W. Zhang 1 ; H.-S. Su 2 ; Y. Liang 1 ; Z.-Z. Han 3
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View affiliations
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Affiliations:
1: Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai, People's Republic of China
2: Department of Control Science and Engineering, Image Processing and Intelligent Control, Key Laboratory of Education Ministry of China, Huazhong University of Science and Technology, Wuhan, People's Republic of China
3: School of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, People's Republic of China
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Affiliations:
1: Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai, People's Republic of China
- Source:
Volume 6, Issue 9,
14 June 2012,
p.
1297 – 1303
DOI: 10.1049/iet-cta.2011.0386 , Print ISSN 1751-8644, Online ISSN 1751-8652
The one-sided Lipschitz non-linear system is a generalisation of its well-known Lipschitz counterpart and possesses inherent advantages with respect to conservativeness. In this study, the authors deal with the problem of observer design for one-sided Lipschitz non-linear systems by using the linear matrix inequality (LMI) approach. Sufficient conditions that ensure the existence of observers for one-sided Lipschitz non-linear systems are established and expressed in terms of linear matrix inequalities (LMIs), which are easily and numerically tractable via standard software algorithms. It is shown that the proposed conditions are less conservative and more simpler than some existing results in recent literature. Simulation results on two examples are given to illustrate the effectiveness and advantages of the proposed design.
Inspec keywords: linear matrix inequalities; nonlinear systems; observers
Other keywords:
Subjects: Numerical analysis; Linear algebra (numerical analysis); Algebra, set theory, and graph theory; Linear algebra (numerical analysis)
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