Robust stabilization of uncertain descriptor fractional-order systems with the fractional order α(0 < α < 1)

被引:0
作者
Zhang, Xuefeng [1 ]
Li, Bingxin [1 ]
机构
[1] Northeastern Univ, Sch Sci, Shenyang 110004, Peoples R China
来源
PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC) | 2016年
关键词
Descriptor fractional-order system; Linear matrix inequalities (LMI); Robust stability; State feedback control; CONTROLLERS; STABILITY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In the paper, a necessary and sufficient condition for uncertain descriptor fractional-order systems is given. The result is given in terms of linear matrix inequalities (LMI). The uncertainties are supposed to be time-invariant and norm-bounded appearing in the state matrix. Robust stability of the state feedback control for uncertain descriptor fractional-order systems with the fractional order alpha(0 < alpha < 1) is derived. Finally, a numerical example is given to verify the applicability of the proposed approach.
引用
收藏
页码:560 / 563
页数:4
相关论文
共 50 条
  • [31] Complete Robust Stability Domain of Fractional-Order Linear Time-Invariant Single Parameter-Dependent Systems With the Order 0 &lt; α &lt; 2
    Lu, Jun-Guo
    Qian, Ruo-Nan
    Zhang, Qing-Hao
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2022, 69 (09) : 3854 - 3858
  • [32] Observer-based robust control of a (1 ≤ a &lt; 2) fractional-order uncertain systems: a linear matrix inequality approach
    Lan, Y. -H.
    Huang, H. -X.
    Zhou, Y.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (02) : 229 - 234
  • [33] Robust Stabilization of Linear and Nonlinear Fractional-Order Systems with Nonlinear Uncertain Parameters
    N'Doye, Ibrahima
    Zasadzinski, Michel
    Darouach, Mohamed
    Radhy, Nour-Eddine
    [J]. 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 4275 - 4280
  • [34] Robust disturbance rejection for uncertain fractional-order systems
    Liu, Rui-Juan
    Nie, Zhuo-Yun
    Wu, Min
    She, Jinhua
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 322 : 79 - 88
  • [35] Robust normalization and stabilization of descriptor fractional-order systems with polytopic uncertainties in all matrices
    Luo, Siyou
    Lu, Jun-Guo
    [J]. ASIAN JOURNAL OF CONTROL, 2024, 26 (02) : 906 - 916
  • [36] Robust stabilization criteria of a general form of fractional-order controllers for interval fractional-order plants with complex uncertain parameters
    Ghorbani, Majid
    [J]. ISA TRANSACTIONS, 2022, 129 : 140 - 151
  • [37] Stabilization of Non-Linear Fractional-Order Uncertain Systems
    Ji, Yude
    Du, Mingxing
    Guo, Yanping
    [J]. ASIAN JOURNAL OF CONTROL, 2018, 20 (02) : 669 - 677
  • [38] ASYMPTOTICAL STABILIZATION OF FRACTIONAL-ORDER SINGULAR UNCERTAIN LINEAR SYSTEMS
    Ji, Yu-De
    Qiu, Ji-Qing
    [J]. PROCEEDINGS OF 2014 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS (ICMLC), VOL 2, 2014, : 664 - 669
  • [39] A Novel LMI Approach for Robust Stabilization of Uncertain Fractional Order Systems
    Wang Yong
    Wei Yiheng
    Zhu Min
    Peng Cheng
    [J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 1475 - 1479
  • [40] A numerical investigation for robust stability of fractional-order uncertain systems
    Senol, Bilal
    Ates, Abdullah
    Alagoz, B. Baykant
    Yeroglu, Celaleddin
    [J]. ISA TRANSACTIONS, 2014, 53 (02) : 189 - 198