H2/H∞ Control for MJLS with Infinite Markov Chain

被引:0
|
作者
Hou, Ting [1 ]
Wang, Jie [1 ]
Liu, Yueying [1 ]
Shen, Xiao [2 ,3 ]
机构
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Peoples R China
[3] Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266590, Peoples R China
基金
中国国家自然科学基金;
关键词
LINEAR-QUADRATIC CONTROL; JUMP; STABILITY; SYSTEMS; DESIGN;
D O I
10.1155/2017/9038469
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
With the help of a stochastic bounded real lemma, we deal with finite horizon H-2/H-infinity control problem for discrete-time MJLS, whose Markov chain takes values in an infinite set. Besides, a unified control design for H-2/H-infinity, and H-2/H-infinity is given.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] H2/H∞ Control for Continuous-Time Infinite Markov Jump Systems: Infinite Horizon Case
    Liu, Yueying
    Hou, Ting
    [J]. 2018 IEEE 8TH ANNUAL INTERNATIONAL CONFERENCE ON CYBER TECHNOLOGY IN AUTOMATION, CONTROL, AND INTELLIGENT SYSTEMS (IEEE-CYBER), 2018, : 1 - 6
  • [2] H2 and H∞ state-feedback control of continuous-time MJLS with uncertain transition rates
    Cardeliquio, C. B.
    Fioravanti, A. R.
    Goncalves, A. P. C.
    [J]. 2014 EUROPEAN CONTROL CONFERENCE (ECC), 2014, : 2237 - 2241
  • [3] Backward Stochastic H2/H∞ Control: Infinite Horizon Case
    Wu, Zhen
    Zhang, Qixia
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [4] H2 and H∞ control for infinite-dimensional systems with jumps
    Ichikawa, A
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (03) : 505 - 510
  • [5] Mixed H2/H∞ control of hidden Markov jump systems
    de Oliveira, A. M.
    Costa, O. L. V.
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (04) : 1261 - 1280
  • [6] Robust H2/H∞ Fuzzy Filtering for Nonlinear Stochastic Systems with Infinite Markov Jump
    Liu Yueying
    Hou Ting
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 33 (04) : 1023 - 1039
  • [7] Robust H2/H∞ Fuzzy Filtering for Nonlinear Stochastic Systems with Infinite Markov Jump
    Yueying Liu
    Ting Hou
    [J]. Journal of Systems Science and Complexity, 2020, 33 : 1023 - 1039
  • [8] Robust H2/H∞ Fuzzy Filtering for Nonlinear Stochastic Systems with Infinite Markov Jump
    LIU Yueying
    HOU Ting
    [J]. Journal of Systems Science & Complexity, 2020, 33 (04) : 1023 - 1039
  • [9] Some remarks on infinite horizon stochastic H2/H∞ control with (x, u, v) dependent noise and Markov jumps
    Sheng, Li
    Zhang, Weihai
    Gao, Ming
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (10): : 3929 - 3946
  • [10] Infinite Horizon H2/H∞ Optimal Control for Discrete-Time Infinite Markov Jump Systems with (x, u, v)-Dependent Noise
    Liu Yueying
    Hou Ting
    Bai Xingzhen
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 1955 - 1960