| 一类离散奇异Markov跳变系统的镇定性 |
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| 引用本文： | 钟金标,杜鑫,朱训林.一类离散奇异Markov跳变系统的镇定性[J].上海大学学报(自然科学版),2014,20(4):513-520. |
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| 作者姓名： | 钟金标 杜鑫 朱训林 |
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| 作者单位： | 1. 安庆师范学院 数学与计算科学学院, 安徽安庆 246011;
2. 上海大学 机电工程与自动化学院, 上海 200072; 3. 郑州大学 数学与统计学院, 郑州 450001 |
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| 基金项目： | 国家自然科学基金资助项目(61304143, 61174085); 安徽高校省级自然科学研究重点资助项目(KJ2010A224) |
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| 摘 要： | 针对一类离散奇异Markov跳变系统, 在其模式跳变的部分转移概率未知的情况下, 研究了稳定性和镇定性问题. 通过引入松散变量, 得到了保证系统随机稳定的充分性判据, 并以线性矩阵不等式(linear matrix inequalities, LMIs)的形式表示, 给出了相应的状态反馈控制器设计方法. 算例验证了该研究的有效性及其保守性小的特点.
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| 关 键 词： | 稳定性 线性矩阵不等式 镇定 转移概率 跳变系统 |
| 收稿时间： | 2013-09-10 |
Stabilization of a Class of Discrete-Time Singular Markov Jump Systems |
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| ZHONG Jin-biao,DU Xin,ZHU Xun-lin.Stabilization of a Class of Discrete-Time Singular Markov Jump Systems[J].Journal of Shanghai University(Natural Science),2014,20(4):513-520. |
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| Authors: | ZHONG Jin-biao DU Xin ZHU Xun-lin |
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| Affiliation: | 1. School of Mathematics and Computational Science, Anqing Normal Institute,;
Anqing 246011, Anhui, China;
2. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China;
3. School of Mathematics and Statistics, Zhengzhou Universty, Zhengzhou 450001, China |
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| Abstract: | This paper discusses stability and stabilization for a class of discrete-time singular Markov jump systems with partly unknown transition probabilities. By introducing slack matrix variables, a sufficient condition is obtained to guarantee stochastic stability of open-loop systems. A method for designing state feedback controller is then proposed. These conditions are given in terms of linear matrix inequalities (LMIs). A numerical example is given to show effectiveness and less conservatism of the obtained results. |
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| Keywords: | linear matrix inequality (LMI) stability transition probability jump system stabilization |
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