多延迟多瓶颈网络拥塞鲁棒控制研究

The Study on Multi-Delay and Multi-Bottleneck Network Congestion Robust Control

研究了具有多延迟用户源端和多瓶颈链路端的复杂网络的主动队列管理控制器的设计和稳定性分析.建立了具有非线性、输入带有时滞和不确定参数扰动的通用网络TCP/AQM动态模型.在平衡点线性化后,采用还原算法进行延迟补偿和预估,将该模型转化为无时滞的线性模型.在系统状态矩阵和输入矩阵参数扰动不满足匹配但有界的条件下,采用积分滑模变结构控制算法,基于Lyapunov稳定性理论和线性矩阵不等式方法给出了滑模可到达和渐进稳定的可行条件,根据该条件设计鲁棒主动队列管理算法.理论证明了该算法的稳定性.

The design and the stability analysis of the Active Queue Management Controller of distributed complex network with multi-heterogeneous TCP source and multi-bottlenck links was investigated.The general TCP/AQM dynamical model which is nonlinear,input-delaying and uncertain-parameter perturbing in nature was given and linearized at the equilibrium.Then it was transformed into the no-time-delay linear model by delay compensating and pre-estimating with the reduction algorithm at the equilibrium point.The feasible condition with reachable and asymptotic stability of sliding surface was given through the integral sliding mode control（ISMC）algorithm based on the Lyapunov function and LMI method under the condition of the mismatched but bounded perturbation of system state matrix and input matrix.The robust AQM arithmetic is devised by the feasible solution and the stability of the algothrim is proofed by the Lyapunov theory.