An improved approach to delay-dependent robust stabilization for uncertain singular time-delay systems

  • Xin Sun
  • Qing-Ling Zhang
  • Chun-Yu Yang
  • Zhan Su
  • Yong-Yun Shao
Article

DOI: 10.1007/s11633-010-0205-5

Cite this article as:
Sun, X., Zhang, QL., Yang, CY. et al. Int. J. Autom. Comput. (2010) 7: 205. doi:10.1007/s11633-010-0205-5

Abstract

In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality (LMI). Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method.

Keywords

Delay-dependent singular time-delay systems admissible robust stabilization 

Copyright information

© Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Xin Sun
    • 1
    • 2
    • 3
  • Qing-Ling Zhang
    • 1
    • 2
  • Chun-Yu Yang
    • 2
  • Zhan Su
    • 1
    • 2
  • Yong-Yun Shao
    • 3
  1. 1.Institute of Systems ScienceNortheastern UniversityShenyangPRC
  2. 2.Key Laboratory of Integrated Automation of Process Industry, Ministry of EducationNortheastern UniversityShenyangPRC
  3. 3.Department of Computer and Mathematics TeachingShenyang Normal UniversityShenyangPRC

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