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.
This work is supported by 863 High technology Research and Development Project (2006AA04Z208) and Tianjin Natural Science Foundation Projects (06YFJMJC01600, 08JCZDJC21900).
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Zhang, Xh., Zou, Ks., Chen, Zq., Deng, Zd. (2008). Stability Analysis of AQM Algorithm Based on Generalized Predictive Control. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2008. Lecture Notes in Computer Science, vol 5226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87442-3_153
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DOI: https://doi.org/10.1007/978-3-540-87442-3_153
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