The AQM dropping packet probability function based on non-integer order PIαDβ controller

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

doi:10.1007/978-3-319-78458-8_4

The AQM dropping packet probability function based on non-integer order PI^αD^β controller

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

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

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

9 Citations (Scopus)

Abstract

In this paper we present the probability function based on PID controller with non-integer integral and derivative orders. We present how to change the probability of packet dropping during continuous increase in buffer occupancy. The shape of the probability function strictly depends on the parameters selection.

Original language	English
Title of host publication	Non-Integer Order Calculus and Its Applications - 9th International Conference on Non-Integer Order Calculus and Its Applications
Editors	Piotr Ostalczyk, Dominik Sankowski, Jacek Nowakowski
Publisher	Springer Verlag
Pages	36-48
Number of pages	13
ISBN (Print)	9783319784571
DOIs	https://doi.org/10.1007/978-3-319-78458-8_4
Publication status	Published - 2019
Event	9th International Conference on Non-Integer Order Calculus and Its Applications,2017 - Lodz, Poland Duration: 11 Oct 2017 → 13 Oct 2017

Publication series

Name	Lecture Notes in Electrical Engineering
Volume	496
ISSN (Print)	1876-1100
ISSN (Electronic)	1876-1119

Conference

Conference	9th International Conference on Non-Integer Order Calculus and Its Applications,2017
Country/Territory	Poland
City	Lodz
Period	11/10/17 → 13/10/17

Keywords

Active queue management
Dropping packets
Fractional calculus
PID controller

ASJC Scopus subject areas

Industrial and Manufacturing Engineering

Access to Document

10.1007/978-3-319-78458-8_4

Cite this

Domański, A., Domańska, J., Czachórski, T., Klamka, J., & Szyguła, J. (2019). The AQM dropping packet probability function based on non-integer order PI^αD^β controller. In P. Ostalczyk, D. Sankowski, & J. Nowakowski (Eds.), Non-Integer Order Calculus and Its Applications - 9th International Conference on Non-Integer Order Calculus and Its Applications (pp. 36-48). (Lecture Notes in Electrical Engineering; Vol. 496). Springer Verlag. https://doi.org/10.1007/978-3-319-78458-8_4

Domański, Adam ; Domańska, Joanna ; Czachórski, Tadeusz et al. / The AQM dropping packet probability function based on non-integer order PI^αD^β controller. Non-Integer Order Calculus and Its Applications - 9th International Conference on Non-Integer Order Calculus and Its Applications . editor / Piotr Ostalczyk ; Dominik Sankowski ; Jacek Nowakowski. Springer Verlag, 2019. pp. 36-48 (Lecture Notes in Electrical Engineering).

@inproceedings{5a9b8bc6ac4449e6a34cb13df6cbee06,

title = "The AQM dropping packet probability function based on non-integer order PIαDβ controller",

abstract = "In this paper we present the probability function based on PID controller with non-integer integral and derivative orders. We present how to change the probability of packet dropping during continuous increase in buffer occupancy. The shape of the probability function strictly depends on the parameters selection.",

keywords = "Active queue management, Dropping packets, Fractional calculus, PID controller",

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

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG, part of Springer Nature 2019.; 9th International Conference on Non-Integer Order Calculus and Its Applications,2017 ; Conference date: 11-10-2017 Through 13-10-2017",

year = "2019",

doi = "10.1007/978-3-319-78458-8\_4",

language = "English",

isbn = "9783319784571",

series = "Lecture Notes in Electrical Engineering",

publisher = "Springer Verlag",

pages = "36--48",

editor = "Piotr Ostalczyk and Dominik Sankowski and Jacek Nowakowski",

booktitle = "Non-Integer Order Calculus and Its Applications - 9th International Conference on Non-Integer Order Calculus and Its Applications",

address = "Germany",

}

Domański, A, Domańska, J, Czachórski, T, Klamka, J & Szyguła, J 2019, The AQM dropping packet probability function based on non-integer order PI^αD^β controller. in P Ostalczyk, D Sankowski & J Nowakowski (eds), Non-Integer Order Calculus and Its Applications - 9th International Conference on Non-Integer Order Calculus and Its Applications . Lecture Notes in Electrical Engineering, vol. 496, Springer Verlag, pp. 36-48, 9th International Conference on Non-Integer Order Calculus and Its Applications,2017, Lodz, Poland, 11/10/17. https://doi.org/10.1007/978-3-319-78458-8_4

The AQM dropping packet probability function based on non-integer order PI^αD^β controller. / Domański, Adam; Domańska, Joanna; Czachórski, Tadeusz et al.
Non-Integer Order Calculus and Its Applications - 9th International Conference on Non-Integer Order Calculus and Its Applications . ed. / Piotr Ostalczyk; Dominik Sankowski; Jacek Nowakowski. Springer Verlag, 2019. p. 36-48 (Lecture Notes in Electrical Engineering; Vol. 496).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - The AQM dropping packet probability function based on non-integer order PIαDβ controller

AU - Domański, Adam

AU - Domańska, Joanna

AU - Czachórski, Tadeusz

AU - Klamka, Jerzy

AU - Szyguła, Jakub

N1 - Publisher Copyright: © Springer International Publishing AG, part of Springer Nature 2019.

PY - 2019

Y1 - 2019

N2 - In this paper we present the probability function based on PID controller with non-integer integral and derivative orders. We present how to change the probability of packet dropping during continuous increase in buffer occupancy. The shape of the probability function strictly depends on the parameters selection.

AB - In this paper we present the probability function based on PID controller with non-integer integral and derivative orders. We present how to change the probability of packet dropping during continuous increase in buffer occupancy. The shape of the probability function strictly depends on the parameters selection.

KW - Active queue management

KW - Dropping packets

KW - Fractional calculus

KW - PID controller

UR - https://www.scopus.com/pages/publications/85044839232

U2 - 10.1007/978-3-319-78458-8_4

DO - 10.1007/978-3-319-78458-8_4

M3 - Conference contribution

AN - SCOPUS:85044839232

SN - 9783319784571

T3 - Lecture Notes in Electrical Engineering

SP - 36

EP - 48

BT - Non-Integer Order Calculus and Its Applications - 9th International Conference on Non-Integer Order Calculus and Its Applications

A2 - Ostalczyk, Piotr

A2 - Sankowski, Dominik

A2 - Nowakowski, Jacek

PB - Springer Verlag

T2 - 9th International Conference on Non-Integer Order Calculus and Its Applications,2017

Y2 - 11 October 2017 through 13 October 2017

ER -

Domański A, Domańska J, Czachórski T, Klamka J, Szyguła J. The AQM dropping packet probability function based on non-integer order PI^αD^β controller. In Ostalczyk P, Sankowski D, Nowakowski J, editors, Non-Integer Order Calculus and Its Applications - 9th International Conference on Non-Integer Order Calculus and Its Applications . Springer Verlag. 2019. p. 36-48. (Lecture Notes in Electrical Engineering). doi: 10.1007/978-3-319-78458-8_4