| 引用本文: | 陈 云,薛安克,鲁仁全,苏宏业.随机时滞Lurie系统的鲁棒H∞和L2-L∞指数控制[J].控制理论与应用,2008,25(6):1063~1066.[点击复制] |
| CHEN Yun,XUE An-ke,LU Ren-quan,SU Hong-ye.Robust H-infinity and L-two-L-infinity exponential controls for stochastic time-delay Lurie systems[J].Control Theory and Technology,2008,25(6):1063~1066.[点击复制] |
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| 随机时滞Lurie系统的鲁棒H∞和L2-L∞指数控制 |
| Robust H-infinity and L-two-L-infinity exponential controls for stochastic time-delay Lurie systems |
| 摘要点击 1511 全文点击 1000 投稿时间：2007-04-25 修订日期：2008-01-01 |
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| DOI编号 10.7641/j.issn.1000-8152.2008.6.017 |
| 2008,25(6):1063-1066 |
| 中文关键词 随机时滞系统 Lurie系统 鲁棒H∞控制 鲁棒L2-L∞控制 线性矩阵不等式 |
| 英文关键词 stochastic time-delay systems Lurie systems robust H-infinity control robust L-two-L-infinity control LMI |
| 基金项目 国家自然科学基金重点资助项目(60434020); 国家自然科学基金资助项目(60604003). |
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| 中文摘要 |
| 针对一类具有范数有界不确定性和时变时滞的It^o型随机Lurie系统, 研究了鲁棒H∞和L2–L∞指数控制问题. 利用Lyapunov-Krasovskii泛函方法和It^o微分公式, 得到了以线性矩阵不等式(LMIs)表示的控制器存在的充分条件. 对所有容许的参数不确定性, 设计的无记忆状态反馈控制器使闭环系统鲁棒指数均方稳定, 且具有给定的H∞和L2–L∞干扰抑制度. 最后, 通过两个仿真例子说明了所提方法的有效性. |
| 英文摘要 |
| The robust exponential H-infinity control and the exponential L-two-L-infinity control for a class of uncertain It^o-type stochastic Lurie systems with time-delay are investigated. The uncertainties are norm-bounded and the delays are time-varying. Based on Lyapunov-Krasovskii functional method and It^o differential formula, we formulate the sufficient conditions for the existence of desired controllers in terms of linear matrix inequalities(LMIs). For all admissible uncertainties, the designed memoryless state-feedback controllers ensure that the closed-loop systems are robustly exponentially mean-square stable with prescribed H-infinity and L-two-L-infinity disturbance attenuation levels. Finally, the effectiveness of the proposed methods is demonstrated by two simulation examples. |