| 基于LMIs方法-不确定性随机分布型时滞Markov跳变系统的鲁棒镇定 |
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| 引用本文： | 包俊东,邓飞其,罗琦.基于LMIs方法-不确定性随机分布型时滞Markov跳变系统的鲁棒镇定[J].系统工程理论与实践,2005,25(6):1-10. |
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| 作者姓名： | 包俊东 邓飞其 罗琦 |
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| 作者单位： | (1)华南理工大学自动化科学与工程学院;(2)内蒙古师范大学数学科学学院;(3)内蒙古师范大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(60374023)，内蒙古自然科学基金(200308020101) |
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| 摘 要： | 研究了一类具有不确定性Markov跳变参数的线性分布型时滞系统.考虑了具不确定性、Markov跳变参数、及分布型时滞系统的鲁棒均方稳定性问题.设计了系统的鲁棒状态反馈镇定控制器.采用了Grownwall Bellman不等式,基于线性矩阵不等式(LMIs)方法,给出了鲁棒稳定性的LMI时滞依赖的代数判据,从而降低了判据的保守性.同时得到了相应的离散时滞情形下的结果.
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| 关 键 词： | 随机镇定 GrownwallBellman不等式 Markov过程 分布型时滞系统 |
| 文章编号： | 1000-6788(2005)06-0001-10 |
| 修稿时间： | 2004年6月14日 |
Robust Stabilization of Uncertain Stochastic Distributed Delay Systems with Markovian Jumping Parameters-Based on LMIs Approach |
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| Bao Jun-dong,DENG Fei-qi,LUO Qi.Robust Stabilization of Uncertain Stochastic Distributed Delay Systems with Markovian Jumping Parameters-Based on LMIs Approach[J].Systems Engineering —Theory & Practice,2005,25(6):1-10. |
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| Authors: | Bao Jun-dong DENG Fei-qi LUO Qi |
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| Institution: | (1)College of automation Science and engineering, South China University of Technology;(2)College of Math Science. Inner Mongolia Normal University;(3)College of Science Wuhan University of Science and Technology |
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| Abstract: | A class of uncertain stochastic distributed delay systems with Markovian jumping parameters is investigated in this paper. The problem of robust stability in mean square on distributed delay systems with uncertainties and Markovian jumping parameters is considered. Robust stabilizability of state feedback controller is designed. Delay dependent LMI criteria are obtained based on the using of Grownwall-Bellman inequality and LMIs approach. The lower conservative criteria are shown. Simultaneously, the corresponding results for discrete delay systems are given. |
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| Keywords: | stochastic stabilization Grownwall-Bellman inequality Markovian process distributed delay systems |
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