Abstract
In this paper, the absolute stability and feedback control problems of Lur'e singularly perturbed uncertain systems are investigated. An ε-dependent Lyapunov function is constructed. Using the Lyapunov theory and Linear Matrix Inequalities (LMIs) technique, the conditions of absolute stability of the system without disturbances are derived. Then, a method of designing feedback controller is developed which can guarantee the absolute stability of the Lur'e singularly perturbed uncertain systems. A numerical example is given to show the effectiveness of the criteria.
Original language | English (US) |
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Title of host publication | Proceedings of the 33rd Chinese Control Conference, CCC 2014 |
Editors | Shengyuan Xu, Qianchuan Zhao |
Publisher | IEEE Computer Society |
Pages | 6090-6094 |
Number of pages | 5 |
ISBN (Electronic) | 9789881563842 |
DOIs | |
State | Published - Sep 11 2014 |
Event | Proceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China Duration: Jul 28 2014 → Jul 30 2014 |
Publication series
Name | Proceedings of the 33rd Chinese Control Conference, CCC 2014 |
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ISSN (Print) | 1934-1768 |
ISSN (Electronic) | 2161-2927 |
Other
Other | Proceedings of the 33rd Chinese Control Conference, CCC 2014 |
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Country/Territory | China |
City | Nanjing |
Period | 7/28/14 → 7/30/14 |
Bibliographical note
Publisher Copyright:© 2014 TCCT, CAA.
Keywords
- Absolutely stability
- Feedback
- Linear matrix ineuqality
- Lur'e system
- Lyapunov theory
- Singular perturbations
- control