| 多时滞不确定系统的非脆弱鲁棒控制器设计 |
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| 引用本文： | 李钢生,屈百达,黄俊.多时滞不确定系统的非脆弱鲁棒控制器设计[J].江南大学学报(自然科学版),2007,6(2):193-196. |
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| 作者姓名： | 李钢生 屈百达 黄俊 |
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| 作者单位： | 1. 江南大学,控制科学与工程研究中心,江苏,无锡,214122;南京晓庄学院,物理系,江苏,南京,210017
2. 江南大学,控制科学与工程研究中心,江苏,无锡,214122 |
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| 摘 要： | 考虑了一类多时滞不确定系统的非脆弱鲁棒控制器设计问题,控制器增益存在加性和乘性摄动两种情况.通过构造一个相应的Lyapunov函数,证明了使系统鲁棒稳定的充分条件.基于线形矩阵不等式,当控制器增益存在两种形式摄动时,给出了系统鲁棒控制器的设计方法.通过算例验证了所给结果的有效性.
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| 关 键 词： | 非脆弱鲁棒控制 不确定系统 时滞 线形矩阵不等式 |
| 文章编号： | 1671-7147（2007）02-0193-04 |
| 收稿时间： | 2005-04-05 |
| 修稿时间： | 2005-04-052005-06-12 |
Non-Fragile Robust Controller Design for Uncertain Systems with Multiple Time Delay |
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| LI Gang-sheng,QU Bai-da,HUANG Jun.Non-Fragile Robust Controller Design for Uncertain Systems with Multiple Time Delay[J].Journal of Southern Yangtze University:Natural Science Edition,2007,6(2):193-196. |
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| Authors: | LI Gang-sheng QU Bai-da HUANG Jun |
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| Institution: | 1. Control Science and Engineering Research Center, Southern Yangtze University, Wuxi 214122, China; 2. Department of Physics, Nanjing Xiaozhuang University, Nanjing 210017,China |
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| Abstract: | The paper investigates the problem of non-fragile robust control for a class of uncertain systems with multiple time delay.Two classes of perturbations,namely,additive and multiplicative,are examined.Firstly,through choosing a proper Lyapunov function,a sufficient condition for the system being stable is proved.Secondly,the robust controller under the two gain perturbations are proved and given in terms of linear matrix inequalities(LMIs).Finally,a numerical example is provided to demonstrate the validity of the proposed method. |
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| Keywords: | non-fragile robust control uncertain system time delay LMI |
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