TCP-RED离散反馈系统中的边界碰撞分岔及混沌控制

Border collision bifurcation and chaotic control of discrete feedback transmission control protocol-random early detection system

结合范式方法对传输控制协议和随机早期检测(TCP-RED)离散反馈系统中出现的不同种类的边界碰撞分岔现象进行了分析.随着系统参数的变化,系统将经历边界碰撞分岔并从周期稳态向混沌态跃变,导致系统中瞬时队列的长度出现剧烈振荡,严重影响系统性能.根据不动点的线性稳定条件,提出了一种混沌控制方法,通过对系统不动点邻域内的状态变量进行扰动,将系统引导至不动点.该方法能显著提高TCP-RED系统的性能和资源利用率.仿真结果证明了该方法的有效性.

Various types of border collision bifurcations occurring in a discrete feedback transmission control protocol-random early detection （TCP-RED） system are analyzed based on normal form method. As the system parameters change, the system experiences the border collision and a sudden jump from a periodic attractor to a chaotic attractor leading to the intense vibration of the system and serious degradation of its performance. According to the linear stability condition of fixed point, a method of chaotic control is presented. With this method, the system can be stabilized to the fixed point by perturbing the state variable in the neighborhood of the fixed point. This method can significantly improve the performance and the resource utilization of TCP- RED system, and simulation results show that it is effective.