| 引用本文: | 姚凤麒,朱行行.一类脉冲随机系统的有限时间有界性分析与H∞控制[J].控制理论与应用,2018,35(3):291~298.[点击复制] |
| YAO Feng-qi,ZHU Xing-xing.Finite-time boundedness analysis and H-infinity control for a class of impulsive stochastic systems[J].Control Theory and Technology,2018,35(3):291~298.[点击复制] |
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| 一类脉冲随机系统的有限时间有界性分析与H∞控制 |
| Finite-time boundedness analysis and H-infinity control for a class of impulsive stochastic systems |
| 摘要点击 2179 全文点击 1204 投稿时间：2017-07-12 修订日期：2017-10-11 |
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| DOI编号 10.7641/CTA.2017.70475 |
| 2018,35(3):291-298 |
| 中文关键词 有限时间有界 H∞控制 脉冲随机系统 平均脉冲区间 |
| 英文关键词 finite-time boundedness H-infinity control impulsive stochastic systems average impulsive interval |
| 基金项目 国家自然科学基金项目(61403002), 安徽省高校优秀青年人才基金重点项目(2013SQRL024ZD), 安徽省高等学校自然科学研究重点项目(KJ2015 A011)资助. |
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| 中文摘要 |
| 本文研究一类线性脉冲随机系统的有限时间有界性及H∞控制问题。首先，利用Lyapunov函数和平均脉冲区间条件，建立了系统有限时间均方有界定理；其次，基于H∞ 控制理论，获得了保证系统有限时间有界且满足一定的 H∞ 性能指标的判据；再次，针对有限时间H∞控制问题，给出了状态反馈控制器存在的充分条件。最后，用一个数值例子表明了理论结果的有效性。 |
| 英文摘要 |
| This paper is concerned with the problem of the finite-time boundedness and H-infinity control for a class
of linear impulsive stochastic systems. First, employing Lyapunov functions and the average impulsive interval technique,
a theorem on the finite-time boundedness in the sense of mean square is established. Then, based on the theory of Hinfinity
control, a criterion guaranteeing both the finite-time boundedness and a certain H-infinity performance index is
derived. Also, for the finite-time H-infinity control problem, some sufficient conditions for the existence of a state feedback
controller are proposed. Finally, a numerical example is given to verify the effectiveness of the theoretical results. |