无线网络模型中Hopf分岔的PD控制  

Bifurcation control in a wireless network model based on proportional-derivative controller

作　　者：丁大为[1] 王纯[1] 孔娜娜[1] 

机构地区：[1]安徽大学电子信息工程学院,合肥230601

出　　处：《电子测量与仪器学报》2015年第11期1683-1690,共8页Journal of Electronic Measurement and Instrumentation

基　　金：国家自然科学基金(61201227)项目

摘　　要：为了延迟无线接入网络拥塞控制模型中霍普夫(Hopf)分岔现象的发生,采用proportional-derivative(PD)控制器,通过选择通信延迟作为分岔参数,分析无线网络系统中的Hopf分岔行为,并由理论分析得知当分岔参数超过临界值时系统发生Hopf分岔。通过设置PD控制器的控制参数,推迟分岔行为的发生,继而维持系统处于稳定状态。还讨论了不同控制参数对分岔行为的影响。利用中心流形定理和正规性理论分析了Hopf分岔的方向及其周期解。最后给出数值仿真验证理论分析的正确性,与混合控制器的对比试验表明PD控制器的有效性。In this paper,a proportional-derivative（ PD） controller is applied to a congestion control model of wireless access network in order to delay the onset of Hopf bifurcation. The Hopf bifurcation behavior is analyzed by choosing communication delay as bifurcation parameter and a Hopf bifurcation occurs when the parameter passes through a critical value. Then,a PD controller is used to postpone the undesired bifurcation behavior by means of setting adaptive control parameters. The paper discusses the impact of different control parameters on the bifurcation behavior. In addition,the direction and stability of the Hopf bifurcation are calculated by using of center manifold theorem and normal form theory. Finally,numerical simulations verify the theoretical analysis,and comparative tests between PD controller and Hybrid controller are given to demonstrate the effectiveness of the proposed PD controller.

关 键 词：网络拥塞控制 霍普夫分岔 无线接入网络 比例微分控制器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TN711[自动化与计算机技术—控制科学与工程]