Sliding mode variable structure control for parameter uncertain stochastic systems with time-varying delay

被引：47
|
作者：
Xing, Hailong [1 ]
Gao, C. C. [1 ]
Li, Donghai [2 ]
机构：
[1] Qingdao Univ, Dept Math, Qingdao 266071, Peoples R China
[2] Tsinghua Univ, Dept Thermal Engn, Beijing 100084, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 355卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Mean-square stability; Variable structure control; Uncertain; Time-varying delay; STABILITY; DESIGN;
D O I：
10.1016/j.jmaa.2009.02.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the variable structure control problem for a class uncertain of stochastic system with time-varying delay is investigated. Firstly, a new concept of the subordinated reachability of the sliding motion is introduced to approach approximately the specified sliding surface. The variable structure control law is then proposed to ensure that the sliding motion is subordinated reachable. Furthermore, a sufficient condition for mean-square asymptotical stability of the sliding motion is given. Finally, a numerical example is presented to demonstrate the effectiveness of the obtained results. (c) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：689 / 699
页数：11
相关论文
共 50 条
  • [1] Variable Structure Control for Parameter Uncertain Stochastic Systems with Time-Varying Delay
    Xing, Hailong
    Zhao, WenJie
    Li, D. H.
    [J]. 2008 IEEE CONFERENCE ON ROBOTICS, AUTOMATION, AND MECHATRONICS, VOLS 1 AND 2, 2008, : 102 - +
  • [2] Variable structure control for uncertain stochastic systems with time-varying delay
    Li, Yanbo
    Gao, Cunchen
    Xing, Hailong
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 1546 - 1549
  • [3] Sliding mode control for a class of uncertain distributed parameter systems with time-varying delay
    Xing, Hai-Long
    Gao, Cun-Chen
    Zeng, Xian-Wu
    Li, Yan-Bo
    [J]. Kongzhi yu Juece/Control and Decision, 2007, 22 (03): : 333 - 336
  • [4] Robust integral sliding mode control for uncertain stochastic systems with time-varying delay
    Niu, YG
    Ho, DWC
    Lam, J
    [J]. AUTOMATICA, 2005, 41 (05) : 873 - 880
  • [5] Sliding-Mode Variable Structure Control for Markov Jumping Uncertain Systems with Time-Varying Delay
    Yan Maode
    Song Cheng
    Wang Ping
    [J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2549 - 2554
  • [6] Variable structure sliding mode control for a class of uncertain distributed parameter systems with time-varying delays
    Xing, Hailong
    Gao, Cunchen
    Tang, Gongyou
    Li, Donghai
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (02) : 287 - 297
  • [7] Robust adaptive sliding mode control design for uncertain stochastic systems with time-varying delay
    Ahmadi B.
    Nourisola H.
    Tavakoli S.
    [J]. International Journal of Dynamics and Control, 2018, 6 (1) : 413 - 424
  • [8] Flexible Robust Sliding Mode Control for Uncertain Stochastic Systems with Time-Varying Delay and Structural Uncertainties
    Wang, Sheng-Guo
    Bai, Libin
    [J]. 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 1536 - 1541
  • [9] Robust stability criterion for uncertain stochastic systems with time-varying delay via sliding mode control
    Ji, Yude
    Qiu, Jiqing
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 70 - 81
  • [10] Quasi-sliding mode control for discrete-time uncertain systems with time-varying delay and stochastic disturbance
    Cui, Yanliang
    Xu, Lanlan
    Ji, Juanjuan
    Shi, Rui
    Wang, Zhenglu
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2022, 95 (01) : 249 - 258
12345