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Markov跳变线性奇异摄动系统鲁棒H∞控制

刘华平,  孙富春,  李春文,  孙增圻

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文章导航 > 自动化学报  > 2005 >  31(5): 779-781
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. 自动化学报, 2005, 31(5): 779-781.
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. 自动化学报, 2005, 31(5): 779-781.
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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. ACTA AUTOMATICA SINICA, 2005, 31(5): 779-781.
Citation: LIU Hua-Ping, SUN Fu-Chun, LI Chun-Wen, SUN Zeng-Qi. Robust Control of Uncertain Markov Jump Singularly Perturbed Systems. ACTA AUTOMATICA SINICA, 2005, 31(5): 779-781.
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Markov跳变线性奇异摄动系统鲁棒H∞控制

  • 1.

    Department of Computer Science and Technology, Tsinghua University, Beijing 100084

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    通讯作者:

    刘华平

Robust Control of Uncertain Markov Jump Singularly Perturbed Systems

  • 1.

    Department of Computer Science and Technology, Tsinghua University, Beijing 100084

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    Corresponding author: LIU Hua-Ping

    摘要
  • 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.
    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 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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出版历程
  • 收稿日期:  2004-05-28
  • 修回日期:  2005-06-06
  • 刊出日期:  2005-09-20

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