Calculation of all gains providing time-delay independent stability via root locus

Baris Samim Nesimioglu; Mehmet Turan Soylemez

doi:10.1109/CoDIT.2014.6996957

Calculation of all gains providing time-delay independent stability via root locus

Baris Samim Nesimioglu, Mehmet Turan Soylemez

Department of Control and Automation Engineering

Istanbul Technical University

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

4 Citations (Scopus)

Abstract

In this paper, a simple root locus based graphical method is proposed to calculate all stabilizing (destabilizing) proportional controller set which provides time-delay independent stability for single input single output (SISO) systems with time-delay. In other words, for the gains belong to this set, if the delay-free system is stable, the time-delay system controlled with these gains remains stable, regardless of the value of the time-delay. Conversely, if the delay-free system is unstable, stability of the time-delay system is not affected by the value of the time-delay; it remains unstable.

Original language	English
Title of host publication	Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014
Editors	Imed Kacem, Pierre Laroche, Zsuzsanna Roka
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	566-571
Number of pages	6
ISBN (Electronic)	9781479967735
DOIs	https://doi.org/10.1109/CoDIT.2014.6996957
Publication status	Published - 23 Dec 2014
Event	2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014 - Metz, France Duration: 3 Nov 2014 → 5 Nov 2014

Publication series

Name	Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014

Conference

Conference	2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014
Country/Territory	France
City	Metz
Period	3/11/14 → 5/11/14

Bibliographical note

Publisher Copyright:
© 2014 IEEE.

Keywords

PID controllers
Robust control
Time-delay systems

Access to Document

10.1109/CoDIT.2014.6996957

Cite this

Nesimioglu, B. S., & Soylemez, M. T. (2014). Calculation of all gains providing time-delay independent stability via root locus. In I. Kacem, P. Laroche, & Z. Roka (Eds.), Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014 (pp. 566-571). Article 6996957 (Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CoDIT.2014.6996957

Nesimioglu, Baris Samim ; Soylemez, Mehmet Turan. / Calculation of all gains providing time-delay independent stability via root locus. Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014. editor / Imed Kacem ; Pierre Laroche ; Zsuzsanna Roka. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 566-571 (Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014).

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abstract = "In this paper, a simple root locus based graphical method is proposed to calculate all stabilizing (destabilizing) proportional controller set which provides time-delay independent stability for single input single output (SISO) systems with time-delay. In other words, for the gains belong to this set, if the delay-free system is stable, the time-delay system controlled with these gains remains stable, regardless of the value of the time-delay. Conversely, if the delay-free system is unstable, stability of the time-delay system is not affected by the value of the time-delay; it remains unstable.",

keywords = "PID controllers, Robust control, Time-delay systems",

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Nesimioglu, BS & Soylemez, MT 2014, Calculation of all gains providing time-delay independent stability via root locus. in I Kacem, P Laroche & Z Roka (eds), Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014., 6996957, Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014, Institute of Electrical and Electronics Engineers Inc., pp. 566-571, 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014, Metz, France, 3/11/14. https://doi.org/10.1109/CoDIT.2014.6996957

Calculation of all gains providing time-delay independent stability via root locus. / Nesimioglu, Baris Samim; Soylemez, Mehmet Turan.
Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014. ed. / Imed Kacem; Pierre Laroche; Zsuzsanna Roka. Institute of Electrical and Electronics Engineers Inc., 2014. p. 566-571 6996957 (Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014).

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

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AU - Soylemez, Mehmet Turan

PY - 2014/12/23

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N2 - In this paper, a simple root locus based graphical method is proposed to calculate all stabilizing (destabilizing) proportional controller set which provides time-delay independent stability for single input single output (SISO) systems with time-delay. In other words, for the gains belong to this set, if the delay-free system is stable, the time-delay system controlled with these gains remains stable, regardless of the value of the time-delay. Conversely, if the delay-free system is unstable, stability of the time-delay system is not affected by the value of the time-delay; it remains unstable.

AB - In this paper, a simple root locus based graphical method is proposed to calculate all stabilizing (destabilizing) proportional controller set which provides time-delay independent stability for single input single output (SISO) systems with time-delay. In other words, for the gains belong to this set, if the delay-free system is stable, the time-delay system controlled with these gains remains stable, regardless of the value of the time-delay. Conversely, if the delay-free system is unstable, stability of the time-delay system is not affected by the value of the time-delay; it remains unstable.

KW - PID controllers

KW - Robust control

KW - Time-delay systems

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PB - Institute of Electrical and Electronics Engineers Inc.

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Nesimioglu BS, Soylemez MT. Calculation of all gains providing time-delay independent stability via root locus. In Kacem I, Laroche P, Roka Z, editors, Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 566-571. 6996957. (Proceedings - 2014 International Conference on Control, Decision and Information Technologies, CoDIT 2014). doi: 10.1109/CoDIT.2014.6996957

Calculation of all gains providing time-delay independent stability via root locus

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