Stability of Markovian Jump Bilinear Systems with Delayed Saturating Actuators

被引：1
作者：
Kang, Yu [1 ]
Zhao, Ping [2 ]
Ling, Qiang [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230026, Anhui, Peoples R China
[2] Univ Jinan, Sch Control Sci & Engn, Jinan 250022, Peoples R China
来源：
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
基金：
中国国家自然科学基金;
关键词：
Saturating actuators; Markovian jump bilinear systems; Exponentially stochastic stability; LINEAR-SYSTEMS; UNCERTAIN SYSTEMS; ROBUST STABILIZATION; CONTROLLABILITY; MODE; DESIGN; STATE;
D O I：
10.1109/CDC.2009.5400024
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 is concerned with the stochastic stabilizability problem of time-delayed Markovian jump bilinear systems with saturating actuators. Based on the reduction method, sufficient conditions are proposed to guarantee local exponential stochastic stability of the closed-loop systems with delayed feedback control. A numerical example is provided to demonstrate the effectiveness of the proposed approaches.
引用
收藏
页码：2929 / 2934
页数：6
相关论文
共 31 条
  • [1] [Anonymous], 1992, MATH ITS APPL SOVIET
  • [2] Benjelloun K, 1998, IEEE T AUTOMAT CONTR, V43, P1456, DOI 10.1109/9.720508
  • [3] Remark on local and global stabilization of homogeneous bilinear systems
    Chabour, O
    Vivalda, JC
    [J]. SYSTEMS & CONTROL LETTERS, 2000, 41 (02) : 141 - 143
  • [4] Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays
    Chen, WH
    Xu, JX
    Guan, ZH
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (12) : 2270 - 2277
  • [5] Franklin J, 1968, MATRIX THEORY
  • [6] An integral inequality in the stability problem of time-delay systems
    Gu, KQ
    [J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2805 - 2810
  • [7] Hu T., 2002, P IEEE C DEC CONTR O, P4663
  • [8] An analysis and design method for linear systems subject to actuator saturation and disturbance
    Hu, TS
    Lin, ZL
    Chen, BM
    [J]. AUTOMATICA, 2002, 38 (02) : 351 - 359
  • [9] CONTROLLABILITY, STABILIZABILITY, AND CONTINUOUS-TIME MARKOVIAN JUMP LINEAR QUADRATIC CONTROL
    JI, YD
    CHIZECK, HJ
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (07) : 777 - 788
  • [10] Robust control for parameter uncertain delay systems in state and control input
    Kim, JH
    Jeung, BT
    Park, HB
    [J]. AUTOMATICA, 1996, 32 (09) : 1337 - 1339
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