Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delay

The paper aims at presenting the influence of an open-loop time delay on the stability and tracking performance of a second-order open-loop system and continuoustime fractional-order PI controller. The tuning method of this controller is based on Hermite- Biehler and Pontryagin theorems, and the tra...

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Main Authors: Sadalla Talar, Horla Dariusz, Giernacki Wojciech, Kozierski Piotr
Format: Article
Language:English
Published: Polish Academy of Sciences 2017-12-01
Series:Archives of Electrical Engineering
Subjects:
Online Access:http://www.degruyter.com/view/j/aee.2017.66.issue-4/aee-2017-0052/aee-2017-0052.xml?format=INT
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author Sadalla Talar
Horla Dariusz
Giernacki Wojciech
Kozierski Piotr
author_facet Sadalla Talar
Horla Dariusz
Giernacki Wojciech
Kozierski Piotr
author_sort Sadalla Talar
collection DOAJ
description The paper aims at presenting the influence of an open-loop time delay on the stability and tracking performance of a second-order open-loop system and continuoustime fractional-order PI controller. The tuning method of this controller is based on Hermite- Biehler and Pontryagin theorems, and the tracking performance is evaluated on the basis of two integral performance indices, namely IAE and ISE. The paper extends the results and methodology presented in previous work of the authors to analysis of the influence of time delay on the closed-loop system taking its destabilizing properties into account, as well as concerning possible application of the presented results and used models.
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spelling doaj.art-371654844cf547efa1b9096af291cd6c2022-12-22T01:17:15ZengPolish Academy of SciencesArchives of Electrical Engineering2300-25062017-12-0166469370410.1515/aee-2017-0052aee-2017-0052Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delaySadalla Talar0Horla Dariusz1Giernacki Wojciech2Kozierski Piotr3Faculty of Electrical Engineering, Institute of Control, Robotics and Information Engineering, Poznan University of Technology Piotrowo 3a, 60-965 Poznań, PolandFaculty of Electrical Engineering, Institute of Control, Robotics and Information Engineering, Poznan University of Technology Piotrowo 3a, 60-965 Poznań, PolandFaculty of Electrical Engineering, Institute of Control, Robotics and Information Engineering, Poznan University of Technology Piotrowo 3a, 60-965 Poznań, PolandFaculty of Electrical Engineering, Institute of Control, Robotics and Information Engineering, Poznan University of Technology Piotrowo 3a, 60-965 Poznań, PolandThe paper aims at presenting the influence of an open-loop time delay on the stability and tracking performance of a second-order open-loop system and continuoustime fractional-order PI controller. The tuning method of this controller is based on Hermite- Biehler and Pontryagin theorems, and the tracking performance is evaluated on the basis of two integral performance indices, namely IAE and ISE. The paper extends the results and methodology presented in previous work of the authors to analysis of the influence of time delay on the closed-loop system taking its destabilizing properties into account, as well as concerning possible application of the presented results and used models.http://www.degruyter.com/view/j/aee.2017.66.issue-4/aee-2017-0052/aee-2017-0052.xml?format=INTfractional-order controlFOPI controllerstability analysistime delaytracking
spellingShingle Sadalla Talar
Horla Dariusz
Giernacki Wojciech
Kozierski Piotr
Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delay
Archives of Electrical Engineering
fractional-order control
FOPI controller
stability analysis
time delay
tracking
title Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delay
title_full Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delay
title_fullStr Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delay
title_full_unstemmed Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delay
title_short Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delay
title_sort influence of time delay on fractional order pi controlled system for a second order oscillatory plant model with time delay
topic fractional-order control
FOPI controller
stability analysis
time delay
tracking
url http://www.degruyter.com/view/j/aee.2017.66.issue-4/aee-2017-0052/aee-2017-0052.xml?format=INT
work_keys_str_mv AT sadallatalar influenceoftimedelayonfractionalorderpicontrolledsystemforasecondorderoscillatoryplantmodelwithtimedelay
AT horladariusz influenceoftimedelayonfractionalorderpicontrolledsystemforasecondorderoscillatoryplantmodelwithtimedelay
AT giernackiwojciech influenceoftimedelayonfractionalorderpicontrolledsystemforasecondorderoscillatoryplantmodelwithtimedelay
AT kozierskipiotr influenceoftimedelayonfractionalorderpicontrolledsystemforasecondorderoscillatoryplantmodelwithtimedelay