Design for Nonlinear Networked Control Systems with Time Delay Governed by Markov Chain with Partly Unknown Transition Probabilities

被引:1
|
作者
Wang, Yan-Feng [1 ]
Li, Zu-Xin [1 ]
Chen, Hui-Ying [1 ]
Quan, Li-Di [1 ]
Guo, Xiao-Rui [1 ]
机构
[1] Huzhou Univ, Sch Engn, Huzhou 313000, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
H-INFINITY CONTROL; STABILIZATION; COMMUNICATION; STABILITY; RESET;
D O I
10.1155/2015/604246
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The problem of state feedback control for a class of nonlinear networked control systems with time delay is discussed in this paper. The time delay is modeled as a finite state Markov chain of which transition probabilities are partly unknown. The closed-loop system model is obtained by means of state augmentation. A sufficient condition is given which guarantees the stochastic stability of the closed-loop system in the form of linear matrix inequalities and the maximum bound of the nonlinearity is also obtained. Finally, a simulation example is used to show the validity of the proposed method.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] Design of Networked Control Systems With Partly Unknown Markovian Transition Probabilities
    Hui, Guotao
    Zhang, Huaguang
    Wang, Yingchun
    Dong, Meng
    2010 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2010), 2010,
  • [2] Robust Control for Nonlinear Markov Jump Systems with Partially Unknown Transition Probabilities
    Kang, Lifan
    Wang, Yue
    Hou, Ting
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [3] Stochastic Stabilization of Networked Control Systems with Partly Unknown Markovian Transition Probabilities
    Xie Jinxia
    Song Yang
    Li Xue
    Xu Lijun
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 6521 - 6526
  • [4] State feedback stabilization for networked control systems with partly unknown transition probabilities
    Wang, Yanfeng
    Li, Zuxin
    Chen, Huiying
    Hong, Sisi
    Wang, Feifei
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 7593 - 7598
  • [5] Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities
    Guo, Xinye
    Li, Yan
    Liu, Xikui
    ENTROPY, 2024, 26 (04)
  • [6] Adaptive sliding mode controller design of Markov jump systems with time-varying actuator faults and partly unknown transition probabilities
    Yao, Deyin
    Liu, Ming
    Lu, Renquan
    Xu, Yong
    Zhou, Qi
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 28 : 105 - 122
  • [7] H∞ Estimation for Stochastic Time Delays in Networked Control Systems by Partly Unknown Transition Probabilities of Markovian Chains
    Guo, Chenyu
    Zhang, Weidong
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2013, 135 (01):
  • [8] H∞ control for discrete-time Markovian jump linear systems with partly unknown transition probabilities
    Zhang, Lixian
    Boukas, El-Kebir
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2009, 19 (08) : 868 - 883
  • [9] H2 filter design for discrete-time Markov jump linear systems with partly unknown transition probabilities
    Shen, Mouquan
    Yang, Guang-Hong
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2012, 33 (03) : 318 - 337
  • [10] Sliding mode control for state-delayed Markov jump systems with partly unknown transition probabilities
    Yao, Deyin
    Lu, Renquan
    Ren, Hongru
    Zhou, Qi
    NONLINEAR DYNAMICS, 2018, 91 (01) : 475 - 486