Stabilization of Markovian Systems via Probability Rate Synthesis and Output Feedback

被引：49
作者：
Feng, Jun-E [1 ]
Lam, James [2 ]
Shu, Zhan [3 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[3] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Linear matrix inequality (LMI); Markovian process; output feedback; stabilization; switched system; H-INFINITY CONTROL; JUMP LINEAR-SYSTEMS; TIME-VARYING DELAYS; STABILITY; DESIGN; STABILIZABILITY; PARAMETERS;
D O I：
10.1109/TAC.2010.2040499
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 technical note is concerned with the stabilization problem of Markovian jump linear systems via designing switching probability rate matrices and static output-feedback gains. A novel necessary and sufficient condition is established to characterize the switching probability rate matrices that guarantee the mean square stability of Markovian jump linear systems. Based on this, a necessary and sufficient condition is provided for the existence of desired controller gains and probability rate matrices. Extensions to the polytopic uncertain case are also provided. All the conditions are formulated in terms of linear matrix inequalities with some equality constraints, which can be solved by two modified cone complementarity linearization algorithms. Examples are given to show the effectiveness of the proposed method.
引用
收藏
页码：773 / 777
页数：5
相关论文
共 50 条
  • [41] Stabilization for Singular Fractional-Order Systems via Static Output Feedback
    Guo, Ying
    Lin, Chong
    Chen, Bing
    Wang, Qing-Guo
    IEEE ACCESS, 2018, 6 : 71678 - 71684
  • [42] Robust Asynchronous Output-Feedback Controller Design for Markovian Jump Systems With Output Quantization
    Li, Xiaohang
    Zhang, Weidong
    Lu, Dunke
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (02): : 1214 - 1223
  • [43] Decentralized Stabilization of Markovian Jump Large-scale Systems via Neighboring Mode Dependent Output Feedback Control
    Ma, Shan
    Xiong, Junlin
    2012 12TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS & VISION (ICARCV), 2012, : 1523 - 1527
  • [44] STABILIZATION OF NETWORKED CONTROL SYSTEMS VIA DYNAMIC OUTPUT-FEEDBACK CONTROLLERS
    Gao, Huijun
    Meng, Xiangyu
    Chen, Tongwen
    Lam, James
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2010, 48 (05) : 3643 - 3658
  • [45] Output Feedback Stabilization of Discrete-Time Fuzzy Systems
    Sano, Fumihiro
    Hoshino, Kenta
    Yoneyama, Lun
    2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2016, : 2188 - 2192
  • [46] Output Feedback Stabilization of Switched Planar Systems With Incomplete Information
    Lin, Xiangze
    Liu, Yuanshan
    Park, Ju H.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (09) : 6222 - 6229
  • [47] A Condition for Certainty Equivalence Output Feedback Stabilization of Nonlinear Systems
    Carnevale, Daniele
    Karagiannis, Dimitrios
    Astolfi, Alessandro
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (05) : 1180 - 1185
  • [48] Network-Based Stabilization of Linear Systems via Static Output Feedback
    Zhang, Xian-Ming
    Han, Qing-Long
    COMPUTATIONAL INTELLIGENCE, NETWORKED SYSTEMS AND THEIR APPLICATIONS, 2014, 462 : 300 - 309
  • [49] Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate
    Li, Fengzhong
    Liu, Yungang
    SYSTEMS & CONTROL LETTERS, 2015, 77 : 69 - 79
  • [50] Output feedback stabilization for a class of complex systems
    Shao, KY
    Gao, LQ
    Ren, WJ
    PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 2358 - 2360
12345