东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (7): 913-916.DOI: -

• 论著 •    下一篇

静态结构化不确定性极小极大控制在网络中的应用

钱晓龙;姜囡;任涛;井元伟;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院;东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-07-15 发布日期:2013-06-22
  • 通讯作者: Qian, X.-L.
  • 作者简介:-
  • 基金资助:
    国家高技术研究发展计划项目(2004AA412030);;

Minimax control based on statically structured uncertainty and its application in networks

Qian, Xiao-Long (1); Jiang, Nan (1); Ren, Tao (1); Jing, Yuan-Wei (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-07-15 Published:2013-06-22
  • Contact: Qian, X.-L.
  • About author:-
  • Supported by:
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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.

关键词: 极小极大控制, 结构化不确定, 时滞, TCP网络拥塞控制

Abstract: The problem of the minimax robust control of the statically structured uncertain time-delay 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.

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