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
  • [1] Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Order α: The 1 ≤ α &lt; 2 Case
    Li, Yuanhua
    Liu, Heng
    Wang, Hongxing
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [2] Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order α: The 0 &lt; α &lt; 1 Case
    Lu, Jun-Guo
    Chen, Yang-Quan
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (01) : 152 - 158
  • [3] Robust stabilization for rectangular descriptor fractional order interval systems with order 0 &lt; α &lt; 1
    Zhang, Xuefeng
    Zhao, Zeli
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 366
  • [4] Comments on "Robust Stability and Stabilization of Fractional-Order Interval Systems With the Fractional Order α: The 0 &lt; α &lt; 1 Case"
    Aguiar, Braulio
    Gonzalez, Temoatzin
    Bernal, Miguel
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (02) : 582 - 583
  • [5] Output feedback robust H∞ control for uncertain descriptor fractional order systems with 0 &lt; α &lt; 1
    Zhang, Xuefeng
    Ai, Jie
    JOURNAL OF VIBRATION AND CONTROL, 2023, 29 (11-12) : 2647 - 2657
  • [6] Robust stabilization of uncertain descriptor fractional-order systems
    N'Doye, Ibrahima
    Darouach, Mohamed
    Zasadzinski, Michel
    Radhy, Nour-Eddine
    AUTOMATICA, 2013, 49 (06) : 1907 - 1913
  • [7] THE CONTROLLER DESIGN FOR SINGULAR FRACTIONAL-ORDER SYSTEMS WITH FRACTIONAL ORDER 0 &lt; α &lt; 1
    Zhan, T.
    Ma, S. P.
    ANZIAM JOURNAL, 2018, 60 (02): : 230 - 248
  • [8] Robust H∞ Control of Fractional-Order Switched Systems with Order 0 &lt; α &lt; 1 and Uncertainty
    Li, Bingxin
    Zhao, Xiangfei
    Liu, Yaowei
    Zhao, Xin
    FRACTAL AND FRACTIONAL, 2022, 6 (03)
  • [9] Admissibility and robust stabilization of continuous linear singular fractional order systems with the fractional order α: The 0 &lt; α &lt; 1 case
    Zhang, Xuefeng
    Chen, YangQuan
    ISA TRANSACTIONS, 2018, 82 : 42 - 50
  • [10] Robust stability of fractional-order systems with mixed uncertainties: The 0 &lt; α &lt; 1 case
    Zhang, Qing-Hao
    Lu, Jun-Guo
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 126
12345