Stability Analysis of AQM Algorithm Based on Generalized Predictive Control

  • Authors:
  • Xing-Hui Zhang;Kuan-Sheng Zou;Zeng-Qiang Chen;Zhi-Dong Deng

  • Affiliations:
  • Department of computer science, Tianjin University of Technology and Education, Tianjin, China 300222;Department of computer science, Tianjin University of Technology and Education, Tianjin, China 300222;Department of Automation, Nankai University, Tianjin, China 30071;State Key Laboratory of Intelligence Technology and Systems, Tsinghua University, Beijing, China 10084

  • Venue:
  • ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Theoretical and Methodological Issues
  • Year:
  • 2008

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Abstract

The network congestion has become increasingly serious. So many active queue management (AQM) algorithms used in routers have been proposed to alleviate network congestion.Generalized predictive control (GPC) is an effective control strategy, which has been widely applied in nonlinear and time-delay systems. This paper mainly analyses the stability of GPC as an AQM algorithm. It educes the discrete model of the network based on the fluid-flow model of TCP congestion window, then elicits the closed loop transfer function of router's output queue length with reference queue length. When the length of predictive region isn't smaller than system total time delay, it gives the characteristic equation of the closed loop system in one-step control. Then conditions of system stabilization are proved with jury criterion, and it gives three theorems about system stability. The validity of theorems is verified by simulation results.