| Quadratic stabilization for uncertain stochastic systems |
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| 引用本文： | Jun’e FENG,Weihai ZHANG. Quadratic stabilization for uncertain stochastic systems[J]. 控制理论与应用(英文版), 2005, 3(3): 252-258. DOI: 10.1007/s11768-005-0044-z |
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| 作者姓名： | Jun’e FENG Weihai ZHANG |
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| 作者单位： | [1]School of Mathematics and System Sciences, Shandong University,Jinan Shandong 250100, China [2]College of Electronic Information and Control Engineering, Shandong Institute of Light Industry,Jinan Shandong 250100, China |
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| 基金项目： | This work was supported by National Natural Science Foundation of China（No.60474013,60374021,60474001 ）, and Mathematics Tianyuan Foundation of China （No. 10426021 ）. |
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| 摘 要： | 1IntroductionInthelast decades ,manyauthors studiedrobust quadraticstabilization control of deterministic linear systems withparameter uncertainty or structured uncertainty, see[1 ~8] . Robust quadratic stability and stabilization ofdeterministic systems were first introduced by [1] ,bymeans of a common Lyapunovfunction.Most earlier resultson robust quadratic stabilization,including some necessaryand sufficient conditions , were expressed in terms ofRiccati_type equations or inequalities , wh…
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| 关 键 词： | 随机系统 二次方程 鲁棒控制 动态反馈 Wiener过程 稳定性 |
| 收稿时间： | 2004-11-01 |
| 修稿时间： | 2005-07-30 |
Quadratic stabilization for uncertain stochastic systems |
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| Jun’e Feng,Weihai Zhang. Quadratic stabilization for uncertain stochastic systems[J]. Journal of Control Theory and Applications, 2005, 3(3): 252-258. DOI: 10.1007/s11768-005-0044-z |
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| Authors: | Jun’e Feng Weihai Zhang |
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| Affiliation: | 1. School of Mathematics and System Sciences,Shandong University,Jinan Shandong 250100,China
2. College of Electronic Information and Control Engineering,Shandong Institute of Light Industry,Jinan Shandong 250100,China |
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| Abstract: | 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. |
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| Keywords: | Robust quadratic stabilization output dynamic feedback state feedback Wiener process Linear matrix inequality |
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