H∞ OPTIMAL STABILIZATION OF A CLASS OF UNCERTAIN IMPULSIVE SYSTEMS: AN LMI APPROACH

被引：12
|
作者：
Xu, Honglei [1 ,2 ]
Teo, Kok Lay [1 ]
机构：
[1] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
[2] Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2009年 / 5卷 / 01期
关键词：
H-infinity control; robust optimal control; impulsive systems; SWITCHED SYSTEMS;
D O I：
10.3934/jimo.2009.5.153
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper studies H-infinity optimal control problems for a class of impulsive dynamical systems with norm-bounded time-varying uncertainty. By using a linear matrix inequality approach, some sufficient conditions are established to ensure both internally asymptotical stability and H-infinity optimal performance of the impulsive closed-loop system. Moreover, based on the stability criteria, a linear time-invariant stabilizing control law is designed. Finally, a numerical example is presented to illustrate the effectiveness of our results.
引用
收藏
页码：153 / 159
页数：7
相关论文
共 50 条
  • [1] Robust H∞ stabilization for uncertain switched impulsive control systems with state delay: An LMI approach
    Zong, Guangdeng
    Xu, Shengyuan
    Wu, Yuqiang
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (04) : 1287 - 1300
  • [2] Reliable H control of a class of uncertain interconnected systems: an LMI approach
    Pujol, G.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2009, 40 (06) : 649 - 657
  • [3] Simultaneous H∞ control for a class of linear uncertain systems :: An LMI approach
    Wang De-jin
    Qi Guo-yuan
    Proceedings of 2005 Chinese Control and Decision Conference, Vols 1 and 2, 2005, : 378 - +
  • [4] An LMI Approach to H∞ Filtering of Uncertain Systems
    Hong, Liang
    Chang, Xiao-Heng
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 381 - 384
  • [5] LMI approach to optimal guaranteed cost control for a class of linear uncertain discrete systems
    Jiang, PG
    Su, HY
    Chu, J
    PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 327 - 331
  • [6] An LMI approach to persistent bounded disturbance rejection for uncertain impulsive systems
    Hao, F
    Chu, TG
    Wang, L
    Huang, L
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 4068 - 4073
  • [7] ROBUST LINEAR H∞ FILTER DESIGN FOR A CLASS OF UNCERTAIN NONLINEAR SYSTEMS: AN LMI APPROACH
    Coutinho, Daniel F.
    De Souza, Carlos E.
    Barbosa, Karina A.
    Trofino, Alexandre
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (03) : 1452 - 1472
  • [8] Decentralized Stabilization of Uncertain Systems With Interconnection and Feedback Delays: An LMI Approach
    Ghosh, Sandip
    Das, Sarit K.
    Ray, Goshaidas
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (04) : 905 - 912
  • [9] An LMI Approach to Exponential Stabilization of Uncertain Time-Delay Systems
    Choi, Hyoun-Chul
    Shim, Hyungbo
    Seo, Jin Heon
    2008 INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS, VOLS 1-4, 2008, : 1570 - 1574
  • [10] A Novel LMI Approach for Robust Stabilization of Uncertain Fractional Order Systems
    Wang Yong
    Wei Yiheng
    Zhu Min
    Peng Cheng
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 1475 - 1479
12345