| 具有控制器增益摄动的非脆弱H2控制 |
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| 引用本文： | 王武,杨富文.具有控制器增益摄动的非脆弱H2控制[J].福州大学学报(自然科学版),2005,33(3):293-297. |
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| 作者姓名： | 王武 杨富文 |
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| 作者单位： | 福州大学电气工程与自动化学院,福建,福州,350002 |
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| 基金项目： | 福建省自然科学基金;福建省教育厅科研项目;福州大学校科研和教改项目 |
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| 摘 要： | 针对控制器增益存在加性控制器增益摄动,研究了线性连续系统的非脆弱状态反馈H2控制问题.基于线性矩阵不等式方法,给出了非脆弱状态反馈H2控制器存在的充要条件.此外,采用相同的方法还研究了不确定系统的鲁棒非脆弱状态反馈H2控制问题,并给出了鲁棒非脆弱状态反馈H2控制器存在的充要条件.实例表明设计方法的有效性.
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| 关 键 词： | 非脆弱控制 H2控制 线性矩阵不等式 |
| 文章编号： | 1000-2243(2005)03-0293-05 |
| 修稿时间： | 2004年9月1日 |
Non-fragile H2 control for linear systems with controller gain variation |
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| WANG Wu,YANG Fu-wen.Non-fragile H2 control for linear systems with controller gain variation[J].Journal of Fuzhou University(Natural Science Edition),2005,33(3):293-297. |
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| Authors: | WANG Wu YANG Fu-wen |
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| Institution: | (College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, Fujian 350002, China) |
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| Abstract: | The problem of non-fragile H_2 control for linear systems is concerned in the presence of controller gain variation. The controller to be designed is assumed to have norm-bounded additive controller gain variations. The sufficient and necessary condition for the existence of non-fragile controller is presented via linear matrix inequality(LMI). In addition, the robust and non-fragile H_2 control problem for linear uncertain systems is also studied by the same method. And a sufficient and necessary condition is proposed to solve the above problem. A numerical example is given to illustrate the design procedure and its effectiveness. |
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| Keywords: | non-fragile control H_2 control LMI |
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