| 变时滞不确定线性系统的H_\infty控制 |
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| 引用本文： | 郑敏.变时滞不确定线性系统的H_\infty控制[J].系统科学与数学,2008,28(10):1187-1192. |
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| 作者姓名： | 郑敏 |
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| 作者单位： | (1)上海大学机电工程与自动化学院, 上海 200072; (2)东南大学自动化研究所, 南京 210096. |
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| 摘 要： | 对于一类不确定状态时变时滞系统,利用基于时滞划分的Lyapunov-Krasovskii泛函讨论其稳定性,并得到以LMI形式给出的一种保守性小的稳定性条件,最后通过分析并给出了保证系统鲁棒稳定的H_\infty控制器,数值实例表明了方法的有效性.
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| 关 键 词： | 变时滞系统 线性矩阵不等式 H_\infty控制. |
| 收稿时间： | 2007-3-1 |
H_\infty Control for Uncertain Linear Systems with Time Varying Delay |
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| ZHENG Min,FEI Shumin.H_\infty Control for Uncertain Linear Systems with Time Varying Delay[J].Journal of Systems Science and Mathematical Sciences,2008,28(10):1187-1192. |
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| Authors: | ZHENG Min FEI Shumin |
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| Institution: | (1)School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072; (2)Department of Automation, Southeast University, Nanjing 210096. |
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| Abstract: | The problem of robust H_\infty control is investigated for a class of linearsystems with uncertainty and time varying delay. A new type of Lyapunov-Krasovskii functional based on fractioning the average delay approach is presented to analyze the stability for this kind of systems. The delay-dependent conditions are proposed in terms of linear matrix inequality(LMI). Then the robust controller is presented through analyzing the stability of the closed-loop system. A numerical example is also given to illustrate the effectiveness of the proposed method. |
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| Keywords: | Time varying delay time delay system LMI H_\infty control |
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