| 不确定系统具有圆形极点与方差约束的输出反馈鲁棒控制 |
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| 引用本文： | 李德权,崔莉莉. 不确定系统具有圆形极点与方差约束的输出反馈鲁棒控制[J]. 合肥工业大学学报(自然科学版), 2004, 27(9): 1103-1106 |
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| 作者姓名： | 李德权 崔莉莉 |
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| 作者单位： | 安徽理工大学,数理系,安徽,淮南,232001;上海第二工业大学,计算机学院,上海,201209 |
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| 基金项目： | 本文工作得到安徽理工大学青年教师科研基金项目资助 |
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| 摘 要： | 对一类具有范数有界不确定性的线性连续随机系统,研究了使闭环系统所有极点位于一给定圆盘,且系统稳态状态方差不超过给定上界性能指标约束的静态输出反馈控制器设计问题。利用矩阵变量变换得到关于静态输出反馈控制律存在且可解的充分条件,给出基于线性矩阵不等式(LMI)组约束下的输出反馈控制器的设计方法。
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| 关 键 词： | 方差约束 静态输出反馈 线性矩阵不等式 |
| 文章编号： | 1003-5060(2004)09-1103-04 |
| 修稿时间： | 2003-10-24 |
Robust regional pole and variance-constrained control via static output feedback for continuous stochastic system with uncertainties |
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| LI De-quan,CUI Li-li. Robust regional pole and variance-constrained control via static output feedback for continuous stochastic system with uncertainties[J]. Journal of Hefei University of Technology(Natural Science), 2004, 27(9): 1103-1106 |
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| Authors: | LI De-quan CUI Li-li |
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| Affiliation: | LI De-quan~1,CUI Li-li~2 |
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| Abstract: | The problem of robust regional pole and variance-constrained control via static output controller for continuous stochastic systems in the presence of parametric uncertainties is studied and solved. Sufficient conditions for the stability of the closed-loop system and the existence of such controller are derived and shown to be equivalent to the solvability of a certain linear matrix inequality (LMI) system by means of changing of matrix variables. Furthermore, the parameterized representation of such controller based on two design schemes is characterized in terms of the feasible solutions to the LMIs. |
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| Keywords: | variance constraint static output feedback linear matrix inequality(LMI) |
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