Diffusion model of a non-integer order PIγ controller with TCP/UDP streams

Dariusz Marek; Adam Domański; Joanna Domańska; Jakub Szyguła; Tadeusz Czachórski; Jerzy Klamka

doi:10.3390/e23050619

Diffusion model of a non-integer order PI^γ controller with TCP/UDP streams

Dariusz Marek
, Adam Domański
, Joanna Domańska
, Jakub Szyguła
, Tadeusz Czachórski
, Jerzy Klamka

Department of Distributed Systems and Informatic Devices (RAU/RAU8)

Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this article, a way to employ the diffusion approximation to model interplay between TCP and UDP flows is presented. In order to control traffic congestion, an environment of IP routers applying AQM (Active Queue Management) algorithms has been introduced. Furthermore, the impact of the fractional controller PI^γ and its parameters on the transport protocols is investigated. The controller has been elaborated in accordance with the control theory. The TCP and UDP flows are transmitted simultaneously and are mutually independent. Only the TCP is controlled by the AQM algorithm. Our diffusion model allows a single TCP or UDP flow to start or end at any time, which distinguishes it from those previously described in the literature.

Original language	English
Article number	619
Journal	Entropy
Volume	23
Issue number	5
DOIs	https://doi.org/10.3390/e23050619
Publication status	Published - May 2021

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 11 Sustainable Cities and Communities

Keywords

Active queue management
Diffusion approximation
Fractional controller PI
Internet
TCP/IP and UDP

ASJC Scopus subject areas

Information Systems
Mathematical Physics
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Electrical and Electronic Engineering

Access to Document

10.3390/e23050619

Cite this

@article{2a1ce631d49d4809938c368f01eb2048,

title = "Diffusion model of a non-integer order PIγ controller with TCP/UDP streams",

abstract = "In this article, a way to employ the diffusion approximation to model interplay between TCP and UDP flows is presented. In order to control traffic congestion, an environment of IP routers applying AQM (Active Queue Management) algorithms has been introduced. Furthermore, the impact of the fractional controller PIγ and its parameters on the transport protocols is investigated. The controller has been elaborated in accordance with the control theory. The TCP and UDP flows are transmitted simultaneously and are mutually independent. Only the TCP is controlled by the AQM algorithm. Our diffusion model allows a single TCP or UDP flow to start or end at any time, which distinguishes it from those previously described in the literature.",

keywords = "Active queue management, Diffusion approximation, Fractional controller PI, Internet, TCP/IP and UDP",

author = "Dariusz Marek and Adam Doma{\'n}ski and Joanna Doma{\'n}ska and Jakub Szygu{\l}a and Tadeusz Czach{\'o}rski and Jerzy Klamka",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = may,

doi = "10.3390/e23050619",

language = "English",

volume = "23",

journal = "Entropy",

issn = "1099-4300",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "5",

}

TY - JOUR

T1 - Diffusion model of a non-integer order PIγ controller with TCP/UDP streams

AU - Marek, Dariusz

AU - Domański, Adam

AU - Domańska, Joanna

AU - Szyguła, Jakub

AU - Czachórski, Tadeusz

AU - Klamka, Jerzy

PY - 2021/5

Y1 - 2021/5

N2 - In this article, a way to employ the diffusion approximation to model interplay between TCP and UDP flows is presented. In order to control traffic congestion, an environment of IP routers applying AQM (Active Queue Management) algorithms has been introduced. Furthermore, the impact of the fractional controller PIγ and its parameters on the transport protocols is investigated. The controller has been elaborated in accordance with the control theory. The TCP and UDP flows are transmitted simultaneously and are mutually independent. Only the TCP is controlled by the AQM algorithm. Our diffusion model allows a single TCP or UDP flow to start or end at any time, which distinguishes it from those previously described in the literature.

AB - In this article, a way to employ the diffusion approximation to model interplay between TCP and UDP flows is presented. In order to control traffic congestion, an environment of IP routers applying AQM (Active Queue Management) algorithms has been introduced. Furthermore, the impact of the fractional controller PIγ and its parameters on the transport protocols is investigated. The controller has been elaborated in accordance with the control theory. The TCP and UDP flows are transmitted simultaneously and are mutually independent. Only the TCP is controlled by the AQM algorithm. Our diffusion model allows a single TCP or UDP flow to start or end at any time, which distinguishes it from those previously described in the literature.

KW - Active queue management

KW - Diffusion approximation

KW - Fractional controller PI

KW - Internet

KW - TCP/IP and UDP

UR - https://www.scopus.com/pages/publications/85107846357

U2 - 10.3390/e23050619

DO - 10.3390/e23050619

M3 - Article

AN - SCOPUS:85107846357

SN - 1099-4300

VL - 23

JO - Entropy

JF - Entropy

IS - 5

M1 - 619

ER -