| 一类Lurie 时滞广义系统的时滞相关H∞ 控制 |
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| 引用本文： | 李圣涛,刘小梅,周玉成,刘晓平,井元伟.一类Lurie 时滞广义系统的时滞相关H∞ 控制[J].控制与决策,2012,27(1):35-40. |
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| 作者姓名： | 李圣涛 刘小梅 周玉成 刘晓平 井元伟 |
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| 作者单位： | 东北大学信息科学与工程学院;东南大学自动化学院;中国林业科学研究院木材工业研究所 |
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| 基金项目： | 国家863计划项目(2010AA101702);中央高校基本科研业务费项目(N100604019) |
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| 摘 要： | 研究一类Lurie时滞广义系统的H∞控制问题.以矩阵不等式形式给出了保证闭环系统正则、无脉冲、全局一致渐近稳定且具有给定性能的时滞相关充分条件.进一步,以非凸约束下的线性矩阵不等式(LMIs)的可行解给出了状态反馈控制律设计方法.仿真算例表明了所提出方法的有效性.
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| 关 键 词： | Lurie系统 时滞广义系统 H∞控制 线性矩阵不等式 |
| 收稿时间： | 2010/12/27 0:00:00 |
| 修稿时间： | 2011/5/16 0:00:00 |
Delay-dependent H∞ control for Lurie singular systems with time-delay |
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| LI Sheng-tao,LIU Xiao-mei,ZHOU Yu-cheng,LIU Xiao-ping,JING Yuan-wei.Delay-dependent H∞ control for Lurie singular systems with time-delay[J].Control and Decision,2012,27(1):35-40. |
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| Authors: | LI Sheng-tao LIU Xiao-mei ZHOU Yu-cheng LIU Xiao-ping JING Yuan-wei |
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| Affiliation: | 1(1.College of Information Science and Technology,Northeastern University,Shenyang 110819,China;2.College of Automation,Southeast University,Nanjing 210096,China;3.Research Institute of Wood Industry,Chinese Academy of Forestry,Beijing 100091,China) |
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| Abstract: | The problem of delay-dependent H∞ control for Lurie singular systems with state-delay is investigated.Delaydependent sufficient condition is obtained in terms of matrix inequalities for ensuring the resultant closed-loop systems of regularity,absence of impulses,global uniform asymptotical stability and a prescribed H∞ performance level.Further more,the state feedback H∞ control law is given in terms of the feasible solutions of linear matrix inequalities(LMIs) under the non-convex constraints.A numerical example shows the effectiveness of the proposed method. |
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| Keywords: | Lurie systems singular systems with time-delay H∞ control linear matrix inequalities |
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