静态结构化不确定性极小极大控制在网络中的应用  

Minimax Control Based on Statically Structured Uncertainty and Its Application in Networks

作　　者：钱晓龙[1] 姜囡[1] 任涛[1] 井元伟[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2008年第7期913-916,共4页Journal of Northeastern University(Natural Science)

基　　金：国家高技术研究发展计划项目(2004AA412030);流程工业综合自动化教育部重点实验室开放课题资助项目

摘　　要：研究了具有静态结构化不确定性时滞系统的极小极大鲁棒控制问题.针对乘时二次型性能指标,运用Lyapunov方法得到极小极大鲁棒控制器的存在条件,并引入凸优化算法求解控制器最优参数和性能指标的最小上界.最后,将该算法应用于带有时滞因素的TCP网络拥塞控制中,使路由器的队列长度能够更快地收敛于期望值,并且稳态时的振荡很小.通过与其他方法的比较,说明了该方法在实际应用中的有效性与优越性.The problem of the minimax robust control of the statically structured uncertain timedelay systems is tackled. The sufficient conditions for the existence of minimax robust controller are derived aiming at the time-multiplying quadratic performance index by using Lyapunov function, with the convex optimization algorithm introduced in to solve the minimal upper bounds of performance index and the optimal parameter of minimax controller. The proposed algorithm is applied to the congestion control in TCP networks with time-delay factors so as to enable the queue length of router to converge at expected value faster with smaller oscillation in steady state. The simulation results reveal comparatively that the validity and superiority of the algorithm outperform other ones in application.

关 键 词：极小极大控制 结构化不确定 时滞 TCP网络拥塞控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]