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| 随机时滞Lurie系统的鲁棒H∞和L2-L∞指数控制 | |
| 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. |
| 作者姓名： | 陈 云 薛安克 鲁仁全 苏宏业 |
| 作者单位： | 1. 杭州电子科技大学,运筹与控制研究所,浙江,杭州,310018;杭州电子科技大学,信息与控制研究所,浙江,杭州,310018 2. 杭州电子科技大学,信息与控制研究所,浙江,杭州,310018 3. 浙江大学,工业控制技术国家重点实验室,浙江,杭州,310027 |
| 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). |
| 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. |
| 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 |
| 收稿时间： | 2007/4/25 0:00:00 |
| 修稿时间： | 1/1/2008 12:00:00 AM |
Robust H-infinity and L-two-L-infinity exponential controls for stochastic time-delay Lurie systems |
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| CHEN Yun,XUE An-ke,LU Ren-quan and SU Hong-ye.Robust H-infinity and L-two-L-infinity exponential controls for stochastic time-delay Lurie systems[J].Control Theory & Applications,2008,25(6):1063-1066. | |
| Authors: | CHEN Yun XUE An-ke LU Ren-quan and SU Hong-ye |
| Affiliation: | Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China; Institute of Information and Control, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China;Institute of Information and Control, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China;Institute of Information and Control, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China;National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou Zhejiang 310027, China |
| Abstract: | 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. |
| Keywords: | stochastic time-delay systems Lurie systems robust H-infinity control robust L-two-L-infinity control LMI |
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