| 具有时变时滞的Lurie系统时滞依赖绝对稳定性新判据 |
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| 引用本文： | 高金凤, 潘海鹏, 嵇小辅. 具有时变时滞的Lurie系统时滞依赖绝对稳定性新判据. 自动化学报, 2010, 36(6): 845-850. doi: 10.3724/SP.J.1004.2010.00845 |
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| 作者姓名： | 高金凤 潘海鹏 嵇小辅 |
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| 作者单位： | 1.浙江理工大学机械与自动控制学院自动化研究所 杭州 310018;;2.江苏大学电气学院 镇江 212013 |
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| 摘 要： | 考虑了一类具有时变时滞和范数有界不确定的Lurie控制系统绝对稳定性分析问题. 通过选取一个新的Lyapunov-Krasovskii泛函将整个时滞区间分为两段, 每段区间上定义了不同的能量函数. 并给出了由LMI描述的新的时滞依赖鲁棒绝对稳定性判据.
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| 关 键 词： | Lurie系统 时变时滞 绝对稳定性 非线性 线性矩阵不等式 |
| 收稿时间： | 2009-07-01 |
| 修稿时间： | 2009-09-29 |
A New Delay-dependent Absolute Stability Criterion for Lurie Systems with Time-varying Delay |
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| GAO Jin-Feng, PAN Hai-Peng, JI Xiao-Fu. A New Delay-dependent Absolute Stability Criterion for Lurie Systems with Time-varying Delay. ACTA AUTOMATICA SINICA, 2010, 36(6): 845-850. doi: 10.3724/SP.J.1004.2010.00845 |
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| Authors: | GAO Jin-Feng PAN Hai-Peng JI Xiao-Fu |
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| Affiliation: | 1. Institute of Automation, Zhejiang Sci-Tech University, Hangzhou 310018, P.R. China;;;2. School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, P.R. China |
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| Abstract: | The problem of absolute stability analysis for Lurie systems with time-varying delay and norm-bounded parameter uncertainties is considered. By using a new Lyapunov-Krasovskii functional, which splits the whole delay interval into two subintervals and defining a different energy function on each subinterval, some new delay-dependent robust absolute stability criteria are presented in terms of strict linear matrix inequalities (LMIs). The obtained delay-dependent criteria are less conservative than previous ones, which are illustrated by numerical examples. |
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| Keywords: | Lurie system time-varying delay absolute stability nonlinearity linear matrix inequality (LMI) |
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