Sliding mode H∞ control design for uncertain nonlinear stochastic state-delayed Markovian jump systems with actuator failures

被引：11
|
作者：
Huang, Ran [1 ]
Lin, Yan [1 ]
Lin, Zhongwei [2 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Sch Automat, Beijing 100191, Peoples R China
[2] N China Elect Power Univ, Sch Control & Comp Engn, Beijing 102206, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2011年 / 5卷 / 04期
关键词：
Nonlinear stochastic systems; Markov process; SMC; Time delay; VARIABLE STRUCTURE CONTROL; STABILIZATION;
D O I：
10.1016/j.nahs.2011.06.002
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 presents a new approach for sliding mode control (SMC) design of a class of uncertain nonlinear stochastic Markovian jump systems (Miss) with time-varying delay. The attention is focused on removing a structural assumption, under which several studies concerning SMC to accommodate Ito stochastic systems have been reported. Sufficient conditions in terms of LMIs are established to guarantee the existence of the sliding surface, then the reachability is analyzed. Compared with the existing results, the mode-independent sliding surface can be derived to weaken jumping effect. The theoretical results are illustrated by a numerical example. (c) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：692 / 703
页数：12
相关论文
共 50 条
  • [21] Sliding Mode Control Based on Observer for a Class of State-Delayed Switched Systems with Uncertain Perturbation
    He, Zhaolan
    Wang, Xue
    Gao, Zongwei
    Bai, Jingjie
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [22] Robust sliding mode passive control for uncertain markovian jump discrete systems with stochastic communication delays
    Zhang, Panpan
    Kao, Binghua
    Kao, Yonggui
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (18): : 14761 - 14782
  • [23] Sliding mode control for singular stochastic Markovian jump systems with uncertainties
    Zhang, Qingling
    Li, Li
    Yan, Xing-Gang
    Spurgeon, Sarah K.
    [J]. AUTOMATICA, 2017, 79 : 27 - 34
  • [24] Robust H∞ Filtering for Nonlinear Stochastic State-Delayed Systems
    Zhang, Weihai
    Feng, Gang
    Li, Qinghua
    [J]. 2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 2212 - +
  • [25] Design of sliding mode control for nonlinear stochastic systems subject to actuator nonlinearity
    Niu, Y.
    Ho, D. W. C.
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (06): : 737 - 744
  • [26] Robust H∞ control for uncertain nonlinear stochastic systems with delayed state and control
    Wang, Cheng
    Xu, Yun
    [J]. INFORMATION TECHNOLOGY FOR MANUFACTURING SYSTEMS II, PTS 1-3, 2011, 58-60 : 685 - 690
  • [27] Robust sliding-mode filtering for a class of uncertain nonlinear discrete-time state-delayed systems
    Wu, Li-Gang
    Wang, Chang-Hong
    Zeng, Qing-Shuang
    Gao, Hui-Jun
    [J]. Zidonghua Xuebao/Acta Automatica Sinica, 2006, 32 (01): : 96 - 100
  • [28] Reliable control for a class of discrete-time state-delayed nonlinear systems with stochastic actuators failures
    Gu, Zhou
    Peng, Chen
    Tian, Engang
    [J]. ICIC Express Letters, 2010, 4 (6 B): : 2475 - 2480
  • [29] Sliding Mode L2-L∞ Control for Uncertain Stochastic Nonlinear Jump Systems
    Ni Wei
    Tang Zhongyi
    Duan Weiping
    [J]. INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTATION TECHNOLOGY AND AUTOMATION, VOL 1, PROCEEDINGS, 2008, : 488 - 492
  • [30] Robust Sliding-mode Filtering for a Class of Uncertain Nonlinear Discrete-time State-delayed Systems
    WU Li-Gang WANG Chang-Hong ZENG Qing-Shuang GAO Hui-Jun Space Control and Inertial Technology Research Center
    [J]. 自动化学报, 2006, (01) : 96 - 100
12345