Quadratic stabilization for uncertain stochastic systems

This paper discusses the robust quadratic stabilization control problem for stochastic uncertain systems, where the uncertain matrix is norm bounded, and the external disturbance is a stocbastic process, Two kinds of controllers are designed, which include state feedback case and output feedback cas...

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Bibliographic Details
Published inJournal of control theory and applications Vol. 3; no. 3; pp. 252 - 258
Main Authors Feng, Jun’e, Zhang, Weihai
Format Journal Article
LanguageEnglish
Published School of Mathematics and System Sciences,Shandong University,Jinan Shandong 250100,China%College of Electronic Information and Control Engineering,Shandong Institute of Light Industry,Jinan Shandong 250100,China 01.08.2005
Subjects
Wiener过程
二次方程
动态反馈
稳定性
随机系统
鲁棒控制
Linear matrix inequality
Wiener process
Robust quadratic stabilization
state feedback
output dynamic feedback
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Summary:This paper discusses the robust quadratic stabilization control problem for stochastic uncertain systems, where the uncertain matrix is norm bounded, and the external disturbance is a stocbastic process, Two kinds of controllers are designed, which include state feedback case and output feedback case. The conditions for the robust quadratic stabilization of stochastic uncertain systems are given via linear matrix inequalities. The detailed design methods are presented. Numerical examples show the effectiveness of our results.
Bibliography:44-1600/TP
O231.3
Robust quadratic stabilization
Robust quadratic stabilization; output dynamic feedback; state feedback; Wiener process; Linear matrix inequality
Linear matrix inequality
Wiener process
state feedback
output dynamic feedback
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1672-6340
1993-0623
DOI:10.1007/s11768-005-0044-z