| 区间变时滞不确定线性系统带记忆H∞状态反馈控制 |
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| 引用本文： | 郑敏,费树岷.区间变时滞不确定线性系统带记忆H∞状态反馈控制[J].自动化学报,2007,33(11):1211-1215. |
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| 作者姓名： | 郑敏 费树岷 |
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| 作者单位： | 1.东南大学自动化研究所 南京 210096 |
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| 摘 要： | 一类存在范数有界不确定性的线性时变时滞系统, 其时变时滞仅给出时滞变化的上下界, 而对时滞变化率未作任何约束. 对于这类区间时变时滞系统, 给出了一种新型的 Lyapunov-Krasovskii 泛函讨论其稳定性, 通过分割平均时滞的方法减小保守性, 得到以线性矩阵不等式(LMI)形式给出的稳定性判据. 最后分析并给出了一种带记忆的 H∞ 状态反馈控制器. 数值实例表明了本文方法的有效性.
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| 关 键 词： | 区间时变时滞 时滞系统 线性矩阵不等式(LMI) 带记忆 H∞ 状态反馈控制 |
| 收稿时间： | 2006-12-13 |
| 修稿时间： | 2006-12-13 |
H∞ State Feedback Control with Memory for Uncertain Linear Systems with Interval Time-varying Delay |
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| ZHENG Min,FEI Shu-Min.H∞ State Feedback Control with Memory for Uncertain Linear Systems with Interval Time-varying Delay[J].Acta Automatica Sinica,2007,33(11):1211-1215. |
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| Authors: | ZHENG Min FEI Shu-Min |
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| Affiliation: | 1.Research Institute of Automation, Southeast University, Nanjing 210096 |
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| Abstract: | A new type of Lyapunov-Krasovskii functional based on fractioning the average delay approach is presented to analyze the stability of a class of linear systems with norm-bounded uncertainty and interval time-varying delay which belongs to a given interval and has no restriction on the delay-derivative. The delay-dependent conditions are proposed in terms of linear matrix inequality (LMI) and the conservatism is reduced through our delay fractioning method. Then the H∞ state feedback controller with memory is presented through analyzing the stability of the closed-loop system. Numerical examples are also given to illustrate the effectiveness of the proposed method. |
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| Keywords: | Interval time-varying delay time delay systems LMI H∞ state feedback control with memory |
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