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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】 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.
【Abstract】 The delay-dependent stability of networked control systems(NCSs) with uncertainties and multiple time-varying 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.
【Key words】 networked control systems(NCSs); delay-dependent stability; linear matrix inequality(LMI); time-varying delays; uncertainties; maximum allowable delay bound(MADB);
- 【文献出处】 控制理论与应用 ,Control Theory & Applications , 编辑部邮箱 ,2008年02期
- 【分类号】TP273
- 【被引频次】19
- 【下载频次】391