Stochastic stability and robust control for sampled-data systems with Markovian jump parameters

被引：55
|
作者：
Hu, LS
Shi, P [1 ]
Huang, B
机构：
[1] Univ Glamorgan, Sch Technol, Pontypridd CF37 1DL, M Glam, Wales
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China
[3] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2G6, Canada
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 313卷 / 02期
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
Markovian jump system; Stochastic stability; robust control; sampled-data system; linear matrix inequality;
D O I：
10.1016/j.jmaa.2005.08.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problems of stochastic stability and robust control for a class of uncertain sampled-data systems are studied. The systems consist of random jumping parameters described by finite-state semi-Markov process. Sufficient conditions for stochastic stability or exponential mean square stability of the systems are presented. The conditions for the existence of a sampled-data feedback control and a multirate sampled-data optimal control for the continuous-time uncertain Markovian jump systems are also obtained. The design procedure for robust multirate sampled-data control is formulated as linear matrix inequalities (LMIs), which can be solved efficiently by available software toolboxes. Finally, a numerical example is given to demonstrate the feasibility and effectiveness of the proposed techniques. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：504 / 517
页数：14
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