无线网络控制系统时延的计算方法

Calculation method of time delay in wireless network control systems

为了研究由于无线网络的介入而给控制系统带来的时延问题。提出了把无线线性网络中数据包的跳跃现象建模为无限脉冲响应模型的方法,通过对具有三个数据包系统跳跃属性的分析,证明了模型的正确性。以此模型为基础,讨论了数据包的解耦问题。通过无线网络的链接模型及凸函数的性质之间相关联的方法,构造了数据包时延与等待时延和每一跳长度的函数关系;根据此函数,把传输两个数据包时延的计算方法推广到传输三个数据包的网络中,最后应用于具有n个数据包的无线网络中,给出第i个数据包最优时延的计算公式,证明了时延的收敛性。给出的链接模型和时延计算公式有效地解决了无线网络诱导时延问题,提高了网络控制系统的稳定性。

In order to study the time delay of network control system, the packet hopping phenomenon in wireless linear network is modeled as an infinite impulse response system and the model is proved to be valid by analyzing the three packets hopping system. Based on the model, the issue of decoupling data packets is discussed. Using the link model and the nature of convex function, the time delay function is derived, according to the function. The calculation method about the two packets optimal delay is deduced and is used in network system with three packets, then, the method is extended to calculate the i^th packets optimal delay and the convergence of the delay is proved. The proposed model and methods can effectively solve the problem of time delay in wireless network control systems and the stability of control system is significantly increased.