双输入时滞的网络控制系统的稳定性改进结果

Improved results on stability analysis for a networked control system with two additive input delays

摘要:

本文研究具有双输入时滞的网络控制系统的稳定性.本文首先把整个时滞区间划分为三个子区间并构造了一个新的Lyapunov泛函，该泛函可以充分利用所有时滞的信息.然后本文运用Wirtinger不等式得到了网络控制系统全局渐近稳定的充分判据.仿真算例验证了结果的有效性.同已有结果相比，本文的结果的保守性更低.

Abstract:

Stability analysis for a networked control system with two additive input delays is considered.By spitting the whole delay interval into three subintervals, a new LyapunovKrasovskii functional is constructed, which can make full use of the information of all the delays.Then, based on the constructed LyapunovKrasovskii functional and using Wirtingerbased inequality, sufficient conditions are derived to ensure the global asymptotic stability of the networked control system.Finally, a numerical example is provided to show the effectiveness of the criterion.In comparison with the known results, the obtained stability criterion is less conservative.