| 引用本文: | 苏宁军，苏宏业，褚 健.不确定时滞系统鲁棒镇定新方法[J].控制理论与应用,2004,21(3):432~434.[点击复制] |
| SU Ning-jun, SU Hong-ye, CHU Jian.New design approach of delay-dependent robust stabilizing control for uncertain time-delay systems[J].Control Theory and Technology,2004,21(3):432~434.[点击复制] |
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| 不确定时滞系统鲁棒镇定新方法 |
| New design approach of delay-dependent robust stabilizing control for uncertain time-delay systems |
| 摘要点击 1515 全文点击 1312 投稿时间：2002-09-05 修订日期：2003-06-20 |
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| DOI编号 10.7641/j.issn.1000-8152.2004.3.021 |
| 2004,21(3):432-434 |
| 中文关键词 时滞系统 不确定性 时滞依赖 鲁棒镇定 线性矩阵不等式(LMI) |
| 英文关键词 time-delay systems uncertainty delay-dependent robust stabilization linear matrix inequality (LMI) |
| 基金项目 国家杰出青年科学基金项目(60025308); 国家教育部高等学校优秀青年教师教学与科研奖励基金. |
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| 中文摘要 |
| 针对一类同时具有状态和控制滞后的不确定时滞系统,提出了一种新的时滞依赖型鲁棒镇定设计方法.通过引入一种新的线性状态变换,分离出时滞依赖因子,采用Lyapunov-Krasovskii泛函方法,导出了不确定时滞系统可鲁棒镇定的时滞依赖型的新判据,所得结论以线性矩阵不等式组的解的形式表示.仿真结果表明所得结论较之已有结果更为简单,具有更小保守性,且有更广泛的应用范围,不仅可以解决小时滞问题,也可用于解决大时滞问题. |
| 英文摘要 |
| A new design approach of delay-dependent robust stabilizing control for a class of uncertain time-delay systems with time-delay in both state and control variables is provided.A new linear state transformation is first proposed to separate the delay-dependent factors out.The sufficient condition of delay-dependent robust stabilizability is then derived by the Lyapunov-Krasovskii functional method.The results are given in terms of LMI.Numerical examples are presented to show that the proposed results can be less conservative and can be used to deal with small or large delay problems. |