Bigdeli Nooshin, Haeri Mohammad
Advance Control System Lab., Electrical Engineering Department, Sharif University of Technology, Tehran, Iran.
ISA Trans. 2008 Jan;47(1):143-55. doi: 10.1016/j.isatra.2007.05.001. Epub 2007 Jul 30.
In this paper, a mathematical model and control theoretical framework for designing AQM controllers in networks supporting TCP Vegas is introduced. We have emphasized on a modified TCP Vegas algorithm that can respond to congestion signals through explicit congestion notification (ECN). The overall nonlinear delayed differential equations of the dynamics model of closed loop system have been derived based on TCP Vegas model. The model is then linearized to derive a transfer function representation between the packet marking probability and the bottleneck router queue length as the input and output of the modified TCP Vegas/AQM system. The model properties have been then examined especially for the case of single bottleneck homogeneous network which is closely investigated. Finally an AQM controller based on Coefficient Diagram Method (CDM) has been designed for the system and its performance has been compared with some other AQM controllers. CDM is a new indirect pole placement method that considers the speed, stability and robustness of the closed loop system in terms of time domain specifications. In order for synthesizing the simulation scenarios, our campus router traffic has been studied experimentally for a sample period of one hour and the corresponding parameters has been extracted. The simulation results are representative of good performance of developed TCP Vegas/AQM structure for different simulated scenarios.
本文介绍了一种在支持TCP Vegas的网络中设计主动队列管理(AQM)控制器的数学模型和控制理论框架。我们着重研究了一种改进的TCP Vegas算法,该算法能够通过显式拥塞通知(ECN)对拥塞信号做出响应。基于TCP Vegas模型推导了闭环系统动力学模型的整体非线性时滞微分方程。然后将该模型线性化,以得到在改进的TCP Vegas/AQM系统中,作为输入和输出的分组标记概率与瓶颈路由器队列长度之间的传递函数表示。随后对模型特性进行了研究,尤其针对紧密研究的单瓶颈同构网络的情况。最后为该系统设计了一种基于系数图法(CDM)的AQM控制器,并将其性能与其他一些AQM控制器进行了比较。系数图法是一种新的间接极点配置方法,它从时域规范的角度考虑闭环系统的速度、稳定性和鲁棒性。为了合成仿真场景,我们对校园路由器流量进行了一小时的实验研究,并提取了相应的参数。仿真结果表明,所开发的TCP Vegas/AQM结构在不同的仿真场景下具有良好的性能。