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具有时滞和参数不确定性的网络系统的滑模控制
Sliding Mode Control for Networked Control Systems with Time Delay and Parameter Uncertainties
【摘要】 研究了一类具有时滞的不确定网络控制系统(NCS)的滑模控制.首先,用一种特殊的变换将不确定时滞系统化为非延迟不确定系统形式.然后基于Lyapunov稳定性理论及线性矩阵不等式(LMI)技术,以线性矩阵不等式的形式给出了该系统的一些新的稳定性判据.所提出的控制器能够使具有不确定性的时滞系统渐近稳定性,而且控制器结构简单,计算方便.最后通过数值模拟,验证了所设计方法的有效性.
【Abstract】 This paper deals with the sliding mode control for a class of uncertain networked control systems(NCSs) with time-delay.First,changed the system with delay into non-delay system by a special transformation.Then,based on Lyapunov stability theory combined with linear matrix inequality(LMI) techniques,some new stability criteria for the system in terms of LMI are derived.With the proposed criteria,we are able to analyze the asymptotic stability of NCSs with uncertainties and time-delay.Compared to other criteria,the proposed criteria have a much simpler structure and easier calculation.Numerical simulations show that the proposed criteria are effective and are an improvement over previous ones.
【Key words】 uncertain networked control systems; sliding mode control; time-delay;
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2016年21期
- 【分类号】TP273
- 【被引频次】1
- 【下载频次】116