Delay-dependent Stabilization of Singular Markovian Jump Systems with Distributed Delays

被引:0
作者
Gu, Zhoutong [1 ]
Zhang, Baoyong [1 ]
Yan, Yingjing [1 ]
Zhang, Yijun [1 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
来源
45TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY (IECON 2019) | 2019年
基金
中国国家自然科学基金;
关键词
Singular systems; Markovian jump systems; Distributed delays; State-feedback stabilization; Strict LMIs; STABILITY;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper is concerned with the state-feedback stabilization for singular Markovian jump systems with distributed delays. Firstly, delay-dependent admissibility conditions are obtained by employing a mode-dependent Lyapunov-Krasovskii functional and applying the delay-partitioning technique. Secondly, strict LMI-based conditions for solving the stabilization problem are presented, based on which the desired controller gains can be determined. Finally, a numerical example is given to illustrate the effectiveness of the proposed methods.
引用
收藏
页码:6521 / 6526
页数:6
相关论文
共 25 条
  • [1] [Anonymous], 2010, ANAL DESIGN DESCRIPT
  • [2] On stability and stabilizability of singular stochastic systems with delays
    Boukas, EK
    Xu, S
    Lam, J
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 127 (02) : 249 - 262
  • [3] Boukas EK, 2008, COMMUN CONTROL ENG, P3
  • [4] Delay-dependent output feedback stabilisation of Markovian jump system with time-delay
    Chen, WH
    Guan, ZH
    Lu, X
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (05): : 561 - 566
  • [5] Dai L., 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475
  • [6] do Valle Costa O.L., 2012, Continuous-time Markov jump linear systems
  • [7] Fridman E., 2014, Systems & control: foundations & applications, Introduction to time-delay systems, DOI DOI 10.1007/978-3-319-09393-2
  • [8] Fu Yan-Ming, 2005, Acta Automatica Sinica, V31, P479
  • [9] Gu Keqin, 2003, CONTROL ENGN SER BIR
  • [10] An integral inequality in the stability problem of time-delay systems
    Gu, KQ
    [J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2805 - 2810