| An LMI-based variable structure control for a class of uncertain singular Markov switched systems |
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| 作者姓名： | Lijun GAO YuqiangWU |
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| 作者单位： | Institute of Automation, Qufu Normal University, Rizhao Shandong 276826, China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China （No.60574007, 60674027）. |
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| 摘 要： |
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| 关 键 词： | 变数结构 表面转换 控制理论 计算机 |
| 收稿时间： | 2006-04-11 |
| 修稿时间： | 2007-04-27 |
An LMI-based variable structure control for a class of uncertain singular Markov switched systems |
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| Lijun GAO,YuqiangWU.An LMI-based variable structure control for a class of uncertain singular Markov switched systems[J].Journal of Control Theory and Applications,2007,5(4):415-419. |
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| Authors: | Lijun GAO YuqiangWU |
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| Affiliation: | Institute of Automation,Qufu Normal University,Rizhao Shandong 276826,China |
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| Abstract: | An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mode dynamics on the given switching surface is regular, impulse-free, and stochastically stable and satisfies H-infinity performance. A variable structure controller is designed to guarantee that the system trajectory converges to the linear switching surface in some finite time. Finally, a numerical example is solved to show the effectiveness and validness of the theoretical results. |
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| Keywords: | Markov switched systems Variable structure LMI Switching surface |
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