| Markov跳变线性奇异摄动系统鲁棒H∞控制 |
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| 引用本文： | 刘华平,孙富春,李春文,孙增圻.Markov跳变线性奇异摄动系统鲁棒H∞控制[J].自动化学报,2005,31(5):779-781. |
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| 作者姓名： | 刘华平 孙富春 李春文 孙增圻 |
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| 作者单位： | 1.Department of Computer Science and Technology, Tsinghua University, Beijing 100084 |
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| 基金项目： | Supported by National Excellent Doctoral Dissertation Foundation （200041）, National Natural Key Project for Basic Research of P. R. China （G2002cb312205）, National Natural Science Foundation of P. IR. China （60474025, 60321002, 60334020, 90405017）, Basic Research Foundation of Tsinghna University （JC2003028） |
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| 摘 要： | In this paper, we study the robust control for uncertain Markov jump linear singularly perturbed systems (MJLSPS), whose transition probability matrix is unknown. An improved heuristic algorithm is proposed to solve the nonlinear matrix inequalities. The results of this paper can apply not only to standard, but also to nonstandard MJLSPS. Moreover, the proposed approach is independent of the perturbation parameter and therefore avoids the ill-conditioned numerical problems.
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| 关 键 词： | Singular perturbations Markov jump parameters matrix inequality robust control |
| 收稿时间： | 2004-05-28 |
| 修稿时间： | 2005-07-06 |
Robust Control of Uncertain Markov Jump Singularly Perturbed Systems |
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| LIU Hua-ping,SUN Fu-chun,LI Chun-wen,SUN Zeng-qi.Robust Control of Uncertain Markov Jump Singularly Perturbed Systems[J].Acta Automatica Sinica,2005,31(5):779-781. |
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| Authors: | LIU Hua-ping SUN Fu-chun LI Chun-wen SUN Zeng-qi |
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| Affiliation: | 1.Department of Computer Science and Technology, Tsinghua University, Beijing 100084 |
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| Abstract: | In this paper,we study the robust control for uncertain Markov jump linear singularly perturbed systems(MJLSPS),whose transition probability matrix is unknown.An improved heuris- tic algorithm is proposed to solve the nonlinear matrix inequalities.The results of this paper can apply not only to standard,but also to nonstandard MJLSPS.Moreover,the proposed approach is independent of the perturbation parameter and therefore avoids the ill-conditioned numerical prob- lems. |
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| Keywords: | Singular pcrturbations Markov jump parameters matrix inequality robust control |
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