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Diffusion Model of a Non-Integer Order PI Controller with TCP/UDP Streams.

Dariusz Marek1, Adam Domański1, Joanna Domańska2

  • 1Department of Distributed Systems and Informatic Devices, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland.

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Summary

This study introduces a diffusion model to simulate TCP/UDP traffic interactions and congestion control using Active Queue Management (AQM). It analyzes the effect of a fractional PIγ controller on network performance.

Keywords:
TCP/IP and UDPactive queue managementdiffusion approximationfractional controller PIγinternet

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Area of Science:

  • Computer Science
  • Network Engineering
  • Control Theory

Background:

  • Network congestion impacts performance of Transmission Control Protocol (TCP) and User Datagram Protocol (UDP) flows.
  • Active Queue Management (AQM) algorithms are crucial for mitigating congestion in IP routers.
  • Existing models often lack the flexibility to represent dynamic flow behaviors.

Purpose of the Study:

  • To present a novel diffusion approximation model for analyzing the interplay between TCP and UDP flows.
  • To investigate the influence of a fractional PIγ controller on network traffic under AQM.
  • To develop a more flexible model capable of handling dynamic flow lifecycles.

Main Methods:

  • Employing diffusion approximation to model TCP and UDP flow dynamics.
  • Implementing Active Queue Management (AQM) algorithms within IP router simulations.
  • Designing and analyzing a fractional PIγ controller based on control theory principles.

Main Results:

  • The diffusion model accurately captures the interaction between TCP and UDP flows.
  • The fractional PIγ controller demonstrates a significant impact on transport protocol performance.
  • The model accommodates the dynamic start and end times of individual TCP and UDP flows.

Conclusions:

  • The proposed diffusion model offers a flexible and accurate approach to studying network traffic dynamics.
  • AQM with fractional control presents a promising strategy for effective congestion management.
  • This research advances the understanding of network protocol behavior under realistic traffic conditions.