时延高速通信网络的指数稳定跟踪控制

Robust Tracking Stabilization for the Communication Networks with Multiple Time-delays

针对具有一个瓶颈和多用户的高速通信网络,当实际网络带宽的分配率跟踪上预定值,并且实际队列长度跟踪上给定的参考值,网络的数据丢失率就会很低,这时网络具有较高的利用率。本文基于线性矩阵不等式(LMI)和时延相关控制方法,设计一个控制器以实现指数稳定的跟踪控制。该控制器的设计只需知道时延的上界,指数稳定减少了过渡时间,加快了跟踪速度。当网络吞吐能力发生变化时,指数稳定使得新的平衡点很快达到,控制器无需调整参数,算法简单,易于实现。仿真实例说明了该控制器的有效性。

For the high-speed communication networks with one bottleneck node and multiple sources, the exponential tracking performance of each source rate to the relevant bandwidth allocation fairness, as well as the queue length to the reference, shows the effective utilization of the networks subject to low loss rates. Based on LMI and delay time-derivative dependent control methods, a robust controller is designed to achieve exponential tracking stability. This controller only should estimate the upper bound of the round-trip delay, and exponential stability makes the tracking rapid. When the network throughput capacity varies, the new stable equilibrium will soon been arrived at with small transient time. The controller neednt tune the parameters, and computing complex is comparatively low. Simulations show the validity of the controller.