短时滞的网络控制系统稳定性分析

StabilityAnalysis of Networked Control Systems with Short Delay

针对具有时变传输时滞和间隔的网络控制系统(Networked Control Systems,NCSs)进行分析,基于传输时滞及输入时滞构建一种新的依赖于时间的非连续的Lyapunov泛函,提出新的稳定性准则。考虑零阶保持器更新时间在两个有效采样时间范围内,结合缩放方法及凸优化技术,最后通过线性矩阵不等式计算,得到新的稳定性准则能减少系统保守性。与其它方法相比,本文提出的方法具有更小的保守性。

The networked control systems with time-varying transmission delay and interval is analyzed.Based on the transmission delay and input delay,a new time-dependent discontinuous Lyapunov functional is constructed,and a new stability criterion is obtained.Considering that the update time of the zero order holder is within two valid sampling time ranges,combining with the scaling method and the convex optimization technique,conservativeness of the system is reduced under the new stability criterion through the calculation of linear matrix inequality.Compared with other methods,the proposed method is with less conservativeness.