| 引用本文: | 严怀成, 黄心汉, 王敏.不确定多时变时滞网络控制系统的时滞相关稳定性[J].控制理论与应用,2008,25(2):303~306.[点击复制] |
| YAN Huai-cheng, HUANG Xin-han, WANG Min.Delay-dependent stability of networked control systems with uncertainties and multiple time-varying delays[J].Control Theory and Technology,2008,25(2):303~306.[点击复制] |
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| 不确定多时变时滞网络控制系统的时滞相关稳定性 |
| Delay-dependent stability of networked control systems with uncertainties and multiple time-varying delays |
| 摘要点击 1120 全文点击 1062 投稿时间：2006-03-25 修订日期：2006-12-28 |
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| DOI编号 |
| 2008,25(2):303-306 |
| 中文关键词 网络控制系统 时滞相关稳定 线性矩阵不等式 时变时滞 不确定性 最大允许时滞 |
| 英文关键词 networked control systems(NCSs) delay-dependent stability linear matrix inequality(LMI) timevarying delays uncertainties maximum allowable delay bound(MADB) |
| 基金项目 国家自然科学基金资助项目(60275013, 60675028). |
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| 中文摘要 |
| 讨论了具有不确定性和多时变时滞的网络控制系统(NCSs)的时滞相关稳定性. 针对一类多输入多输出(MIMO)的NCSs, 在考虑网络时滞和不确定性的情况下, 建立了该系统的数学模型. 利用Lyapunov稳定性理论和线性矩阵不等式(LMI)方法, 提出了新的基于LMI形式的时滞相关稳定条件. 该方法克服了已有方法的保守性且结果更具有一般性. 最后给出实例表明该方法与现有文献结果相比, 具有较小的保守性和更好的有效性. |
| 英文摘要 |
| The delay-dependent stability of networked control systems (NCSs) with uncertainties and multiple timevarying delays is investigated in this paper. A class of multi-input and multi-output (MIMO) NCSs mathematical model with network-induced delays and uncertainties is proposed. Based on Lyapunov stability theory combining with linear matrix inequality (LMI) techniques, some new delay-dependent stability criteria in terms of LMI are derived.The proposed method overcomes the conservativeness of the existing methods and is more general. Finally, numerical examples are given to illustrate that the proposed method is much less conservative and more effective than the existing ones. |