Robust H-infinity control for uncertain discrete-time Markovian jump systems with actuator saturation

被引：0
|
作者：
Ting SHI 1
2.State Key Laboratory of Industrial Control Technology
机构：
来源：
Control Theory and Technology | 2011年 / 9卷 / 04期
基金：
中国国家自然科学基金; 国家高技术研究发展计划(863计划);
关键词：
Markovian jump systems; H-infinity control; Actuator saturation; LMIs;
D O I：
暂无
中图分类号：
TP13 [自动控制理论];
学科分类号：
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要：
The design of robust H-infinity controller for uncertain discrete-time Markovian jump systems with actuator saturation is addressed in this paper. The parameter uncertainties are assumed to be norm-bounded. Linear matrix inequality (LMI) conditions are proposed to design a set of controllers in order to satisfy the closed-loop local stability and closed-loop H-infinity performance. Using an LMI approach, a set of state feedback gains is constructed such that the set of admissible initial conditions is enlarged and formulated through solving an optimization problem. A numerical example is given to illustrate the effectiveness of the proposed methods.
引用
收藏
页码：465 / 471
页数：7
相关论文
共 50 条
  • [1] Robust H-infinity control for uncertain discrete-time Markovian jump systems with actuator saturation
    Shi T.
    Su H.
    Chu J.
    [J]. Journal of Control Theory and Applications, 2011, 9 (4): : 465 - 471
  • [2] Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems
    Shuping MA 1
    2.School of Computer Science and Technology
    3.School of Control and Engineering
    4.Department of Applied Mathematics
    [J]. Control Theory and Technology, 2008, (02) : 133 - 140
  • [3] Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems
    Ma S.
    Zhang C.
    Liu X.
    [J]. Journal of Control Theory and Applications, 2008, 6 (02): : 133 - 140
  • [4] Robust control of uncertain discrete-time Markovian jump systems with actuator saturation
    Liu, HP
    Sun, FC
    Boukas, EK
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2006, 79 (07) : 805 - 812
  • [5] Robust finite-time H-infinity control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation
    Ma, Yuechao
    Jia, Xiaorui
    Liu, Deyou
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 286 : 213 - 227
  • [6] Robust H∞ Control for Discrete-Time Uncertain Descriptor Markov Jump Systems with Actuator Saturation
    Chen, Naixun
    Ma, Shuping
    [J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 2662 - 2667
  • [7] H-INFINITY CONTROL OF DISCRETE-TIME UNCERTAIN SYSTEMS
    GEROMEL, JC
    PERES, PLD
    SOUZA, SR
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) : 1072 - 1075
  • [8] Robust H-infinity Filtering for Discrete-time Singular Markovian Jump Systems over Networks
    Lai Yongbo
    Lu Guoping
    [J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 6638 - 6643
  • [9] Delay-Dependent Robust H-infinity Stability for Uncertain Discrete-time Markovian Jump Singular System
    Xie, Fu
    Lu, Hongqian
    [J]. CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 2663 - +
  • [10] Mixed H-2/H-infinity control of discrete-time Markovian jump linear systems
    Costa, OLV
    Marques, RP
    [J]. PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 4178 - 4183
12345