上海交通大学学报

上海交通大学学报（自然版） ›› 2014, Vol. 48 ›› Issue (10): 1479-1484.

• 自动化技术、计算机技术 • 上一篇    下一篇

无线网络流体流模型的Hopf分岔的控制

徐超1,2，周云龙2，王洋2   

  1. (1. 安徽微纳电子器件与集成电路设计省级实验室, 合肥 230601；2. 安徽大学 计算智能与信号处理教育部重点实验室, 合肥 230601)
  • 收稿日期:2013-11-18

Control of Hopf Bifurcation in a Fluid-Flow  Model in Wireless Networks

XU Chao1,2,ZHOU Yunlong2,WANG Yang2   

  1. (1. Anhui Provincial Laboratory of Micronano Electronic Devices and Circuit Design, Hefei 230601, China; 2. Key Laboratory of Intelligent Computing and Signal Processing of the Ministry of Education, Anhui University, Hefei 230601, China)
  • Received:2013-11-18

摘要：

摘要：  针对无线网络拥塞控制系统中流体流模型的Hopf分岔的问题，进行了3种控制方法的对比实验.通过选择通信时滞作为分岔参数，验证了此模型分别在加入3种控制器(时延反馈控制器DFC、混合控制器HBC和状态反馈控制器SFC)后，均增加了分岔参数的临界值，扩大了稳定性区域，使系统的Hopf分岔延迟.数值仿真结果表明上述3种控制器在延迟无线网络Hopf分岔的性能上有所差异，状态反馈控制器控制效果最好，混合控制器其次.

关键词: 无线网络, 拥塞控制, Hopf分岔, 时延反馈, 混合控制, 状态反馈

Abstract:

Abstract： Aimed at the Hopf bifurcation problem of a fluid-flow model for the congestion control in  wireless networks, comparative experiments of three kinds of control method were conducted in this paper. By choosing the communication delay as a bifurcation parameter, it was proved that with three kinds of the controller, the critical value of bifurcation  were changed and the stable region were enlarged, and the Hopf bifurcation of the system was delayed. Numerical results verified that the performance of the Hopf bifurcation with delay feedback controller, the performance of the hybrid controller and the performance of the state feedback controller in a wireless network were different; the state feedback controller can most effectively control Hopf bifurcation of the system, followed by the hybrid controller.

Key words:  wireless networks, congestion control, Hopf bifurcation, delay feedback, hybrid control, state feedback

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