| 一类具有状态及控制滞后的非线性不确定随机系统的鲁棒H∞控制 |
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| 引用本文： | 林丹凤,刘立山.一类具有状态及控制滞后的非线性不确定随机系统的鲁棒H∞控制[J].曲阜师范大学学报,2009,35(1):19-24. |
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| 作者姓名： | 林丹凤 刘立山 |
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| 作者单位： | 林丹凤,LIN Dan-feng(曲阜师范大学数学科学学院,273165,曲阜市;山东交通职业学院基础部,261206,山东省潍坊市);刘立山,LIU Li-shan(曲阜师范大学数学科学学院,273165,曲阜市)
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| 摘 要： | 就一类具有状态及控制滞后的非线性不确定随机系统，研究了其鲁棒H∞控制．文中用线性矩阵不等式（LMI）的方法设计了一种状态反馈控制器，使得所得到的闭环系统鲁棒随机稳定且满足所需要的H∞性能指标．仿真算例说明了该方法的有效性．
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| 关 键 词： | 时滞系统 不确定性 鲁棒控制 线性矩阵不等式 随机系统 |
Robust Control for a Class of Nonlinear Stochastic Uncertain Systems with Delayed States and Controls |
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| LIN Dan-feng,LIU Li-shan.Robust Control for a Class of Nonlinear Stochastic Uncertain Systems with Delayed States and Controls[J].Journal of Qufu Normal University(Natural Science),2009,35(1):19-24. |
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| Authors: | LIN Dan-feng LIU Li-shan |
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| Institution: | LIN Dan-feng, LIU Li-shan (1.School of Mathematical Science, Qufu Normal University, 273165, Qufu; 2. Department of Basic Courses,Shandong Transport Vocational College, 261206, Weifang, Shandong,PRC) |
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| Abstract: | The problem of robust H∞ control is studied for a class of nonlinear stochastic uncertain systems with delayed states and controls. A state feedback controller is designed in terms of LMI. The resulting closed-loop system is robust stochastic stable and satisfies a prescribed H∞ performance level. A numerical example is given to show the effectiveness of proposed method. |
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| Keywords: | time-delay systems uncertainty Robust H∞ control LMI stochastic system |
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