| 转移概率不完全已知的离散随机Markov跳跃系统的稳定性与镇定控制 |
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| 引用本文： | 李凤霞,盛立,于佐军,刘颜.转移概率不完全已知的离散随机Markov跳跃系统的稳定性与镇定控制[J].青岛科技大学学报,2012(5):485-488. |
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| 作者姓名： | 李凤霞 盛立 于佐军 刘颜 |
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| 作者单位： | 中国石油大学(华东)信息与控制工程学院;青岛天信电气有限公司 |
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| 基金项目： | 山东省自然科学基金项目(ZR2010FQ013);教育部高等学校博士学科点专项基金项目(20103718120006);中央高校基本科研业务费专项资金项目(11CX04042A) |
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| 摘 要： | 研究了一类转移概率不完全已知的离散随机Markov跳跃系统(MJSs)的稳定性与镇定控制问题。以严格线性矩阵不等式的形式给出了离散随机MJSs均方渐近稳定的充分必要性判据,并设计了状态反馈镇定控制器;通过数值仿真验证了结论的正确性。
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| 关 键 词： | 随机Markov跳跃系统 离散系统 稳定性 镇定控制 部分未知转移概率 |
Stability of Discrete-time Stochastic Markov Jump Linear Systems with Not Fully Known Transition Probabilities |
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| LI Feng-xia,SHENG Li,YU Zuo-jun,LIU Yan.Stability of Discrete-time Stochastic Markov Jump Linear Systems with Not Fully Known Transition Probabilities[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,2012(5):485-488. |
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| Authors: | LI Feng-xia SHENG Li YU Zuo-jun LIU Yan |
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| Affiliation: | 1.College of Information and Control Engineering,China University of Petroleum(East China),Qingdao 266580,China; 2.Qingdao Tianxin Electric Co.,LTD,Qingdao 266400,China) |
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| Abstract: | The stability and stabilization for a class of discrete-time stochastic Markov jump systems with not fully known transition probabilities are studied.Firstly,the asymptotic mean square stability of discrete-time stochastic MJSs is promoted in terms of strict linear matrix inequalities(LMIs).Secondly,the state feedback controller is designed.Finally,Numerical examples are given to show the effectiveness of the results. |
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| Keywords: | stochastic Markov jump linear systems discrete-time systems stability stabilization not fully known transition probabilities |
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