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
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