| Robust Control of Uncertain Markov Jump Singularly Perturbed Systems |
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| 引用本文： | LIU Hua-Ping~(1,2) SUN Fu-Chun~(1,2) LI Chun-Wen~3 SUN Zeng-Qi~(1,2) ~1(Department of Computer Science and Technology,Tsinghua University,Beijing 100084)~2(State Key Laboratory of Intelligent Technology and Systems,Beijing 100084)~3(Department of Automation,Tsinghua University,Beijing 100084). Robust Control of Uncertain Markov Jump Singularly Perturbed Systems[J]. 自动化学报, 2005, 0(5) |
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| 作者姓名： | LIU Hua-Ping~(1 2) SUN Fu-Chun~(1 2) LI Chun-Wen~3 SUN Zeng-Qi~(1 2) ~1(Department of Computer Science and Technology Tsinghua University Beijing 100084)~2(State Key Laboratory of Intelligent Technology and Systems Beijing 100084)~3(Department of Automation Tsinghua University Beijing 100084) |
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| 作者单位： | LIU Hua-Ping~(1，2) SUN Fu-Chun~(1，2) LI Chun-Wen~3 SUN Zeng-Qi~(1，2) ~1(Department of Computer Science and Technology，Tsinghua University，Beijing 100084)~2(State Key Laboratory of Intelligent Technology and Systems，Beijing 100084)~3(Department of Automation，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 (C2002cb312205),National Natural Science Foundation of P.R.China (60474025,60321002,60334020,90405017),Basic Research Foundation of Tsinghua 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 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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Robust Control of Uncertain Markov Jump Singularly Perturbed Systems |
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| LIU Hua-Ping. Robust Control of Uncertain Markov Jump Singularly Perturbed Systems[J]. Acta Automatica Sinica, 2005, 0(5) |
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| Authors: | LIU Hua-Ping |
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| Affiliation: | LIU Hua-Ping~ |
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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 perturbations Markov jump parameters matrix inequality robust control |
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