Design of robust H∞ control for interconnected systems:: A homotopy method

被引:0
|
作者
Chen, N [1 ]
Ikeda, M
Gui, WH
机构
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
[2] Osaka Univ, Grad Sch Engn, Suita, Osaka 5650871, Japan
关键词
decentralized control; H-infinity control; homotopy method; LMI; NMI; uncertainty;
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 considers a robust decentralized H. control problem for uncertain large-scale interconnected systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist In subsystems. A design method based on the bounded real lemma is developed for a dynamic output feedback controller, which is reduced to a feasibility problem for a nonlinear matrix inequality (NMI). It is proposed to solve the NMI iteratively by the idea of homotopy, where some of the variables are fixed alternately on each iteration to reduce the NMI to a linear matrix inequality (LMI). A decentralized controller for the nominal system is computed first by imposing structural constraints on the coefficient matrices gradually. Then, the decentralized controller is modified again gradually to cope with the uncertainties. A given example shows the efficiency of this method.
引用
收藏
页码:143 / 151
页数:9
相关论文
共 50 条
  • [41] Decentralized robust control for interconnected neutral delay systems
    Li, Ming
    Liu, Long
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (14) : 7453 - 7458
  • [42] Robust decentralized control of a class of uncertain interconnected systems
    Li, XY
    Xu, ZD
    PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 3080 - 3084
  • [43] Aspects of Fairness in Robust, Distributed Control of Interconnected Systems
    Axelson-Fisk, Magnus
    Knorn, Steffi
    2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 3084 - 3089
  • [44] Robust Frequency Control in Interconnected Microgrids: An H$_2$/H$_{\infty }$ Control Approach
    Suman, Gourav Kumar
    Guerrero, Josep M.
    Roy, Om Prakash
    IEEE SYSTEMS JOURNAL, 2022, 16 (02): : 2044 - 2055
  • [45] Robust H∞ fuzzy control design for Markovian jump systems
    Arrifano, Natache S. D.
    Oliveira, Vilma A.
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 3243 - 3248
  • [46] The generalized H∞-norm in the analysis and design of robust control systems
    Kogan, M. M.
    JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2015, 54 (06) : 839 - 852
  • [47] The generalized H∞-norm in the analysis and design of robust control systems
    M. M. Kogan
    Journal of Computer and Systems Sciences International, 2015, 54 : 839 - 852
  • [48] A double homotopy method for decentralised control design
    Mehendale, Charudatta S.
    Grigoriadis, Karolos M.
    INTERNATIONAL JOURNAL OF CONTROL, 2008, 81 (10) : 1600 - 1608
  • [49] Decentralized robust H∞ output feedback control for interconnected large-scale systems with uncertainties
    Jiang Zhaohui
    Gui Weihua
    Me Yongfang
    PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 2, 2007, : 740 - +
  • [50] Decentralized robust H infinity control for a class of uncertain interconnected nonlinear systems with time delays
    Gui, Wei-Hua
    Liu, Bi-Yu
    Zhongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Central South University (Science and Technology), 2005, 36 (05): : 846 - 851