Local Mode Dependent Decentralized Stabilization of Uncertain Markovian Jump Large-Scale Systems

被引:30
作者
Xiong, Junlin [1 ]
Ugrinovskii, Valery A. [1 ]
Petersen, Ian R. [1 ]
机构
[1] Univ New S Wales, Australian Def Force Acad, Sch Informat Technol & Engn, Canberra, ACT 2600, Australia
基金
澳大利亚研究理事会;
关键词
Large-scale systems; linear matrix inequalities (LMIs); Markov jump parameters; stabilization; ROBUST-CONTROL; OUTPUT-FEEDBACK;
D O I
10.1109/TAC.2009.2031565
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 robust stabilization of a class of stochastic large-scale systems governed by a finite state Markov process. Using the method of integral quadratic constraints, a sufficient condition is developed to design decentralized stabilizing controllers which use local system states and local system operation modes to produce local control inputs. The condition is given in terms of a set of rank constrained linear matrix inequalities. The theory is illustrated by an example.
引用
收藏
页码:2632 / 2637
页数:6
相关论文
共 16 条
  • [1] SOLUTION AND ASYMPTOTIC-BEHAVIOR OF COUPLED RICCATGI EQUATIONS IN JUMP LINEAR-SYSTEMS
    ABOUKANDIL, H
    FREILING, G
    JANK, G
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (08) : 1631 - 1636
  • [2] Anderson B.D., 2012, Optimal Filtering
  • [3] Costa OLV, 2005, DISCRETE TIME MARKOV
  • [4] Doob J. L., 1953, STOCHASTIC PROCESSES
  • [5] A cone complementarity linearization algorithm for static output-feedback and related problems
    ElGhaoui, L
    Oustry, F
    AitRami, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) : 1171 - 1176
  • [6] Li L., 2007, P AM CONTR C, P796
  • [7] Decentralized robust control of uncertain Markov jump parameter systems via output feedback
    Li, Li
    Ugrinovskii, Valery A.
    Orsi, Robert
    [J]. AUTOMATICA, 2007, 43 (11) : 1932 - 1944
  • [8] Mariton M., 1990, Jump Linear Systems in Automatic Control
  • [9] A Newton-like method for solving rank constrained linear matrix inequalities
    Orsi, Robert
    Helmke, Uwe
    Moore, John B.
    [J]. AUTOMATICA, 2006, 42 (11) : 1875 - 1882
  • [10] Petersen I. R., 2000, COMM CONT E