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.
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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2008年第2期303-306,共4页
Control Theory & Applications
基金
国家自然科学基金资助项目(60275013
60675028)
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
networked control systems（NCSs） delay-dependent stability linear matrix inequality（LMI） timevarying delays uncertainties maximum allowable delay bound（MADB）
