| 随机不确定时滞系统的鲁棒H∞控制 |
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| 引用本文： | 夏建伟,徐胜元,邹 云. 随机不确定时滞系统的鲁棒H∞控制[J]. 控制理论与应用, 2008, 25(5): 943-946 |
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| 作者姓名： | 夏建伟 徐胜元 邹 云 |
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| 作者单位： | 1. 聊城大学,数学科学学院,山东,聊城,252000
2. 南京理工大学,自动化学院,江苏,南京,210094 |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金，教育部全国优秀博士学位论文作者专项基金 |
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| 摘 要： | 本文研究了随机不确定时滞系统的鲁棒稳定性与鲁棒H∞控制问题,系统的不确性具有凸多面体形式.利用线性矩阵不等式方法,通过依赖于参数的Lyapunov函数,得到了此类系统鲁棒随机镇定的充分条件.在此基础上,又给出了H∞状态反馈控制器的设计.
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| 关 键 词： | H∞控制 凸多面体 随机系统 时滞 |
| 收稿时间： | 2007-01-04 |
| 修稿时间： | 2007-09-05 |
Robust H-infinity control for stochastic uncertain systems with time-delay |
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| XIA Jian-wei,XU Sheng-yuan and ZOU Yun. Robust H-infinity control for stochastic uncertain systems with time-delay[J]. Control Theory & Applications, 2008, 25(5): 943-946 |
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| Authors: | XIA Jian-wei XU Sheng-yuan ZOU Yun |
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| Affiliation: | School of Mathematic Science, Liaocheng University, Liaocheng Shandong 252000, China;School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China;School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China |
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| Abstract: | The robust stochastic stability and the robust H-infinity control for time-delay stochastic systems with convex polytopic uncertainties are addressed. Sufficient conditions for the solvability of these problems are obtained via the parameter-dependent Lyapunov functional. It is also shown that a desired state feedback controller can be designed by solving a set of linear matrix inequality. |
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| Keywords: | H-infinity control polytopic uncertainties stochastic systems time-delay |
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