Delay-dependent robust H∞ control for uncertain stochastic time-delay system

被引:23
|
作者
Xia, Yuanqing [1 ]
Qiu, Jiqing [2 ]
Zhang, Jinhui [1 ]
Gao, Zhifeng [2 ]
Wang, Jianfei [3 ]
机构
[1] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China
[2] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang, Peoples R China
[3] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China
基金
中国国家自然科学基金;
关键词
stochastic system; time-delay; H-infinity control; linear matrix inequalities (LMIs); norm-bounded uncertainties;
D O I
10.1080/00207720802088256
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 article deals with the problem of robust stabilisation and H-infinity control for a class of uncertain stochastic time-delay system. The parametric uncertainties are real time-varying and norm bounded. The aim is to design a memoryless state-feedback control law such that the closed-loop system are robustly stochastically asymptotically stable in the mean square and the effect of the disturbance input on the controlled output is less than a prescribed level for all admissible parameter uncertainties. New sufficient conditions for the existence of such control law are presented based on the linear matrix inequalities approach. Numerical examples are given to illustrate the effectiveness of the developed techniques.
引用
收藏
页码:1139 / 1152
页数:14
相关论文
共 50 条
  • [41] Delay-dependent Robust Control for Uncertain Singular Systems with Time-delay: A New Method
    Lan, Qixun
    Niu, Huawei
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 745 - 750
  • [42] Robust delay-dependent stabilization of uncertain time-delay systems by variable structure control
    Jafarov, Elbrous M.
    2008 INTERNATIONAL WORKSHOP ON VARIABLE STRUCTURE SYSTEMS, 2008, : 250 - 255
  • [43] New design approach of delay-dependent robust stabilizing control for a class of uncertain time-delay stochastic systems
    Department of Mathematics and Physics, The Hunan Institute of Engineering, Xiantan 411101, China
    不详
    不详
    Kong Zhi Li Lun Yu Ying Yong, 2008, 4 (749-752):
  • [44] Delay-dependent robust Kalman filtering for time-delay uncertain systems
    Su, Te-Jen
    Chen, Yun-Chu
    Yu, Gwo-Jeng
    International Journal of Electrical Engineering, 2004, 11 (02): : 117 - 123
  • [45] Delay-dependent robust stability for a class of uncertain time-delay systems
    Wu, Junfeng
    Lv, Ning
    Dong, Lizhi
    ISSCAA 2006: 1ST INTERNATIONAL SYMPOSIUM ON SYSTEMS AND CONTROL IN AEROSPACE AND ASTRONAUTICS, VOLS 1AND 2, 2006, : 775 - +
  • [46] Delay-dependent robust stability for uncertain linear systems with time-delay
    Zhou, Shan-Shan
    Tang, Gon-You
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 219 - 221
  • [47] A delay-dependent robust stability criterion for uncertain time-delay systems
    Park, P
    Moon, YS
    Kwon, WH
    PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1998, : 1963 - 1964
  • [48] Delay-dependent robust stabilization of linear time-delay uncertain systems
    Wang, Jian-An
    Liu, He-Ping
    Beijing Keji Daxue Xuebao/Journal of University of Science and Technology Beijing, 2009, 31 (02): : 272 - 276
  • [49] Delay-dependent robust stabilizability for uncertain discrete time-delay systems
    Xu, Hui
    Su, Hongye
    Xiao, Lingfei
    Chu, Jian
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 2239 - 2243
  • [50] Delay-Dependent Robust H∞ Control for Time-Delay Systems with Polytopic Uncertainty
    Sun, Man
    Ni, Suhong
    Ma, Haiping
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 280 - 284