Stability analysis and control of Lur'e singularly perturbed uncertain systems

Yan Zhang, D. Subbaram Naidu, Chenxiao Cai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish (US)
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages6090-6094
Number of pages5
ISBN (Electronic)9789881563842
DOIs
StatePublished - Sep 11 2014
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: Jul 28 2014Jul 30 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Other

OtherProceedings of the 33rd Chinese Control Conference, CCC 2014
CountryChina
CityNanjing
Period7/28/147/30/14

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Keywords

  • Absolutely stability
  • Feedback
  • Linear matrix ineuqality
  • Lur'e system
  • Lyapunov theory
  • Singular perturbations
  • control

Cite this

Zhang, Y., Naidu, D. S., & Cai, C. (2014). Stability analysis and control of Lur'e singularly perturbed uncertain systems. In S. Xu, & Q. Zhao (Eds.), Proceedings of the 33rd Chinese Control Conference, CCC 2014 (pp. 6090-6094). [6895985] (Proceedings of the 33rd Chinese Control Conference, CCC 2014). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2014.6895985