Disturbance Rejection for Fractional-Order Time-Delay Systems

被引：5
|
作者：
Jiang, Hai-Peng [1 ]
Liu, Yong-Qiang [1 ]
机构：
[1] South China Univ Technol, Sch Elect Power, Guangzhou 510641, Guangdong, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2016年 / 2016卷
关键词：
LYAPUNOV STABILITY THEOREM; H-INFINITY-CONTROL; ROBUST STABILIZATION; INEQUALITY; FEEDBACK;
D O I：
10.1155/2016/1316046
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper presents an equivalent-input-disturbance (EID-) based disturbance rejection method for fractional-order time-delay systems. First, a modified state observer is applied to reconstruct the state of the fractional-order time-delay plant. Then, a disturbance estimator is designed to actively compensate for the disturbances. Under such a construction of the system, by constructing a novel monochromatic Lyapunov function and using direct Lyapunov approach, the stability analysis and controller design algorithm are derived in terms of linear matrix inequality (LMI) technique. Finally, simulation results demonstrate the validity of the proposed method.
引用
下载
收藏
页数：8
相关论文
共 50 条
  • [31] A Graphical Tuning of PIλDμ Controllers for Fractional-Order Systems with Time-Delay
    Zhang, Jianghui
    Wang, Dejin
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 729 - 734
  • [32] Robust Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time-Delay
    Ma, Tiedong
    Xi, Quan
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 1315 - 1320
  • [33] Event-triggered H∞ control for fractional-order time-delay systems
    Huong, Dinh Cong
    ASIAN JOURNAL OF CONTROL, 2024,
  • [34] A new robust observer design for disturbed fractional-order systems with time-delay
    Haddi, Ahmed
    El Azzouzi, Mohamed
    Laabissi, Mohamed
    Boukal, Yassine
    2022 10TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), 2022, : 143 - 148
  • [35] Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay
    Li, Penghua
    Chen, Liping
    Wu, Ranchao
    Tenreiro Machado, J. A.
    Lopes, Antonio M.
    Yuan, Liguo
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (15): : 7749 - 7763
  • [36] Robust stabilization of interval fractional-order plants with one time-delay by fractional-order controllers
    Gao, Zhe
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (02): : 767 - 786
  • [37] Active disturbance rejection control for nonlinear fractional-order systems
    Gao, Zhe
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (04) : 876 - 892
  • [38] Active Disturbance Rejection Fractional-Order Independent Control of Time Delay Systems With Application to Air Floating Motion Platform
    Chen, Pengchong
    Gan, He
    Liu, Yanhong
    Luo, Ying
    IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2024, 73 : 1 - 10
  • [39] Fuzzy observer-based disturbance rejection control for nonlinear fractional-order systems with time-varying delay
    Mahmoudabadi, Parvin
    Tavakoli-Kakhki, Mahsan
    JOURNAL OF VIBRATION AND CONTROL, 2022, 28 (15-16) : 2145 - 2154
  • [40] Fractional Order Active Disturbance Rejection Controller for First Order Plus Time Delay Systems
    Chen, Pengchong
    Liu, Yanhong
    Wu, Zhenlong
    Luo, Ying
    Chen, Yangquan
    2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC, 2023, : 839 - 844
12345