东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (1): 14-17.DOI: -

• 论著 • 上一篇    下一篇

参数不确定网络拥塞系统的保性能控制

翟丁;王慧敏;刘国义;梁力;   

  1. 东北大学理学院;东北大学资源与土木工程学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60974043,60904009);;

Guaranteed cost control for networked congestion systems with parameter uncertainties

Zhai, Ding (1); Wang, Hui-Min (1); Liu, Guo-Yi (1); Liang, Li (2)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110819, China; (2) School of Resources and Civil Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Zhai, D.
  • About author:-
  • Supported by:
    -

RichHTML

0

PDF (PC)

609

摘要： 针对网络控制系统在建模过程中普遍存在的参数不确定性问题,在现有的网络拥塞控制模型基础上,考虑了系统具有时变参数不确定性的情况.通过对已有非线性动态TCP模型进行线性化,得到一个带有参数不确定性的线性时变系统,并且,该线性系统模型能够更精确描述原来非线性系统.对于已得到的线性系统,利用Lyapunov稳定性理论,以及结合线性矩阵不等式处理方法,给出了网络拥塞控制系统的状态反馈保性能控制器的凸的存在条件和设计方法.通过理论分析和对实例的仿真表明,同已有的方法相比,本文所设计的方法不仅可以满足给定的性能指标,还可以使系统具有较强的鲁棒性及较快的收敛性.

关键词: 拥塞控制, Lyapunov稳定性, 线性矩阵不等式, 鲁棒稳定, 保性能控制

Abstract: Based on the existing control model for network congestion, a class of networked system with time-varying parameter uncertainties is considered with the aim of dealing with the problem of prevalent parameter uncertainties. Linearizing a previously developed nonlinear dynamic model of TCP, a linear time-varying system with parameter uncertainties is obtained to represent the intrinsic nonlinear characteristic more accurately. Then, applying the Lyapunov stability theory and linear matrix inequalities (LMIs) approach to this linear model, a convex stability condition is obtained and, simultaneously, a guaranteed cost controller design method is proposed to solve the problem of congestion control. The theoretical analysis and simulation results showed that the method proposed can guarantee some given performance indices in addition to the better robustness and faster convergence than some others.

中图分类号: