A Novel LMI Approach for Robust Stabilization of Uncertain Fractional Order Systems

被引:0
作者
Wang Yong [1 ]
Wei Yiheng [1 ]
Zhu Min [1 ]
Peng Cheng [1 ]
机构
[1] Univ Sci & Technol China, Hefei 230027, Peoples R China
来源
2013 32ND CHINESE CONTROL CONFERENCE (CCC) | 2013年
关键词
Fractional order system; Robust control; Approximation; Two-step design paradigm; LMI; TIME-DELAY SYSTEMS; SUBSPACE IDENTIFICATION; CONTROLLERS; STABILITY; VARIABLES;
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
This paper focuses on robust control issues of uncertain fractional order systems based on model approximation. In this paper, two kinds of controller are designed to stabilize such fractional order system. In order to linearize the matrix inequalities, we present a two-step design paradigm:"Design the state feedback controller, then design the output feedback controller". in consequence, all the results are obtained in terms of linear matrix inequalities (LMI). Numerical example validates the proposed stabilization method.
引用
收藏
页码:1475 / 1479
页数:5
相关论文
共 50 条
  • [41] Robust stability bounds of uncertain fractional-order systems
    YingDong Ma
    Jun-Guo Lu
    WeiDong Chen
    YangQuan Chen
    Fractional Calculus and Applied Analysis, 2014, 17 : 136 - 153
  • [42] Output Feedback Stabilization of Uncertain Rectangular Descriptor Fractional Order Systems With 0 < α < 1
    Zhao, Zeli
    Zhang, Xuefeng
    Wang, Qingguo
    IEEE ACCESS, 2019, 7 : 108948 - 108956
  • [43] Optimal V-Plane Robust Stabilization Method for Interval Uncertain Fractional Order PID Control Systems
    Tufenkci, Sevilay
    Senol, Bilal
    Matusu, Radek
    Alagoz, Baris Baykant
    FRACTAL AND FRACTIONAL, 2021, 5 (01) : 1 - 21
  • [44] Stability and Stabilization of Fractional-Order Uncertain Nonlinear Systems With Multiorder
    Chen, Liping
    Guo, Wenliang
    Gu, Panpan
    Lopes, Antonio M. M.
    Chu, Zhaobi
    Chen, YangQuan
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2023, 70 (02) : 576 - 580
  • [45] Robust Stabilization of Fractional Order Interval Systems via a Fractional-order PID Controller
    Lin Jianyu
    Lu Jun-Guo
    Lin Zongli
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 6498 - 6503
  • [46] 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
  • [47] LMI-based robust stability and stabilization analysis of fractional-order interval systems with time-varying delay
    Badri, Pouya
    Sojoodi, Mandi
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2022, 51 (01) : 1 - 26
  • [48] Novel Robust BIBO Stabilization for Uncertain Systems with Delay and Perturbation
    Li, Ping
    Zhong, Shouming
    Zhou, Wei
    INTERNATIONAL CONFERENCE ON ELECTRICAL, CONTROL AND AUTOMATION (ICECA 2014), 2014, : 800 - 808
  • [49] Algorithm 998: The Robust LMI Parser-A Toolbox to Construct LMI Conditions for Uncertain Systems
    Agulhari, Cristiano M.
    Felipe, Alexandre
    Oliveira, Ricardo C. L. F.
    Peres, Pedro L. D.
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2019, 45 (03):
  • [50] Robust Stability and Stabilization of Fractional Order Systems Based on Uncertain Takagi-Sugeno Fuzzy Model With the Fractional Order 1 ≤ v &lt; 2
    Li Junmin
    Li Yuting
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2013, 8 (04):