Robust H2/H∞ Optimal Control for Uncertain Descriptor Systems

被引：0
|
作者：
Yang, Dongmei [1 ]
Sha, Chengman [2 ]
Zhai, Ding [1 ]
机构：
[1] Northeastern Univ, Sch Sci, Shenyang 110004, Peoples R China
[2] Northeastern Univ, Sch Resource & Civil Engn, Shenyang 110004, Peoples R China
来源：
2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11 | 2008年
关键词：
Uncertain Descriptor Systems; H-2/H-infinity Control; LMI; Riccati;
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：
The problems of robust H-2/H-infinity state feedback optimal control for uncertain linear descriptor systems are studied. Firstly,robust H-2/H-infinity performance analysis are given. The necessary and sufficient conditions are presented based on Riccati inequalities and linear matrix inequalities respectively. Next, a robust H-2/H-infinity state feedback controller is designed to minimize the H-2 norm of the closed-loop system subject to an admissible closed-loop system and a H-infinity norm constraint. A sufficient condition such that there exists such a controller is presented using linear matrix inequality (LMI) approach. The minimum upper bound of the H-2 norm of the closed-loop system is given.
引用
收藏
页码：3441 / +
页数：2
相关论文
共 50 条
  • [1] Mixed H2/H∞ control for uncertain descriptor systems
    Piao, FX
    Zhang, QL
    Wang, ZD
    [J]. ICIA 2004: Proceedings of 2004 International Conference on Information Acquisition, 2004, : 440 - 443
  • [2] H2 optimal control for descriptor systems
    Yang, Dong-Mei
    Zhang, Qing-Ling
    Sha, Cheng-Man
    [J]. Zidonghua Xuebao/Acta Automatica Sinica, 2002, 28 (06): : 920 - 926
  • [3] Robust H∞ control for uncertain descriptor systems
    Piao, Feng-Xian
    Zhang, Qing-Ling
    Zhang, Guo-Shan
    [J]. Dongbei Daxue Xuebao/Journal of Northeastern University, 2003, 24 (08): : 751 - 754
  • [4] Robust H2 and H∞ switched feedforward control of uncertain LFT systems
    Yuan, Chengzhi
    Wu, Fen
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (09) : 1841 - 1856
  • [5] Suboptimal robust mixed H2/H∞ controller design for uncertain descriptor systems with distributed delays
    Yue, D
    Lam, J
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (6-7) : 1041 - 1055
  • [6] Robust H∞ control for uncertain descriptor systems with state and control delay
    Piao Fengxian~ 1
    2. Shenyang Inst. of Aeronautical Engineering
    [J]. Journal of Systems Engineering and Electronics, 2006, (03) : 571 - 575
  • [7] Robust H∞ control for uncertain descriptor systems with state and control delay
    Piao, Fengxian
    Zhang, Qingling
    Ma, Xiuzhen
    [J]. Journal of Systems Engineering and Electronics, 2006, 17 (03) : 571 - 575
  • [8] H2/H∞ robust PID synthesis for uncertain systems
    Goncalves, E. N.
    Palhares, R. M.
    Takahashi, R. H. C.
    [J]. PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 4378 - 4379
  • [9] Robust H2 and H∞ filtering for uncertain linear systems
    Duan, Zhisheng
    Zhang, Jingxin
    Zhangc, Cishen
    Mosca, Edoardo
    [J]. AUTOMATICA, 2006, 42 (11) : 1919 - 1926
  • [10] Robust H2 and H∞ filters for uncertain LFT systems
    Sun, K
    Packard, A
    [J]. PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 2612 - 2618
12345