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Design of an enhanced fractional order PID controller for a class of second-order system

Design of an enhanced fractional order PID controller for a class of second-order system <jats:sec> <jats:title content-type="abstract-subheading">Purpose</jats:title> <jats:p>This paper aims to design a modified fractional order proportional integral derivative (PID) (FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup>) controller based on the principle of fractional calculus and investigate its performance for a class of a second-order plant model under different operating conditions. The effectiveness of the proposed controller is compared with the classical controllers.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Design/methodology/approach</jats:title> <jats:p>The fractional factor related to the integral term of the standard FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller is applied as a common fractional factor term for the proportional plus integral coefficients in the proposed controller structure. The controller design is developed using the regular closed-loop system design specifications such as gain crossover frequency, phase margin, robustness to gain change and two more specifications, namely, noise reduction and disturbance elimination functions.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Findings</jats:title> <jats:p>The study results of the designed controller using matrix laboratory software are analyzed and compared with an integer order PID and a classical FOPI<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller, the proposed FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller exhibit a high degree of performance in terms of settling time, fast response and no overshoot.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Originality/value</jats:title> <jats:p>This paper proposes a methodology for the FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller design for a second-order plant model using the closed-loop system design specifications. The effectiveness of the proposed control scheme is demonstrated under different operating conditions such as external load disturbances and input parameter change.</jats:p> </jats:sec> http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering CrossRef

Design of an enhanced fractional order PID controller for a class of second-order system

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering , Volume ahead-of-print (ahead-of-print) – Jun 8, 2021

Design of an enhanced fractional order PID controller for a class of second-order system


Abstract

<jats:sec>
<jats:title content-type="abstract-subheading">Purpose</jats:title>
<jats:p>This paper aims to design a modified fractional order proportional integral derivative (PID) (FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup>) controller based on the principle of fractional calculus and investigate its performance for a class of a second-order plant model under different operating conditions. The effectiveness of the proposed controller is compared with the classical controllers.</jats:p>
</jats:sec>
<jats:sec>
<jats:title content-type="abstract-subheading">Design/methodology/approach</jats:title>
<jats:p>The fractional factor related to the integral term of the standard FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller is applied as a common fractional factor term for the proportional plus integral coefficients in the proposed controller structure. The controller design is developed using the regular closed-loop system design specifications such as gain crossover frequency, phase margin, robustness to gain change and two more specifications, namely, noise reduction and disturbance elimination functions.</jats:p>
</jats:sec>
<jats:sec>
<jats:title content-type="abstract-subheading">Findings</jats:title>
<jats:p>The study results of the designed controller using matrix laboratory software are analyzed and compared with an integer order PID and a classical FOPI<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller, the proposed FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller exhibit a high degree of performance in terms of settling time, fast response and no overshoot.</jats:p>
</jats:sec>
<jats:sec>
<jats:title content-type="abstract-subheading">Originality/value</jats:title>
<jats:p>This paper proposes a methodology for the FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller design for a second-order plant model using the closed-loop system design specifications. The effectiveness of the proposed control scheme is demonstrated under different operating conditions such as external load disturbances and input parameter change.</jats:p>
</jats:sec>

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References (35)

Publisher
CrossRef
ISSN
0332-1649
DOI
10.1108/compel-08-2020-0267
Publisher site
See Article on Publisher Site

Abstract

<jats:sec> <jats:title content-type="abstract-subheading">Purpose</jats:title> <jats:p>This paper aims to design a modified fractional order proportional integral derivative (PID) (FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup>) controller based on the principle of fractional calculus and investigate its performance for a class of a second-order plant model under different operating conditions. The effectiveness of the proposed controller is compared with the classical controllers.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Design/methodology/approach</jats:title> <jats:p>The fractional factor related to the integral term of the standard FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller is applied as a common fractional factor term for the proportional plus integral coefficients in the proposed controller structure. The controller design is developed using the regular closed-loop system design specifications such as gain crossover frequency, phase margin, robustness to gain change and two more specifications, namely, noise reduction and disturbance elimination functions.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Findings</jats:title> <jats:p>The study results of the designed controller using matrix laboratory software are analyzed and compared with an integer order PID and a classical FOPI<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller, the proposed FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller exhibit a high degree of performance in terms of settling time, fast response and no overshoot.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Originality/value</jats:title> <jats:p>This paper proposes a methodology for the FO[PI]<jats:sup>λ</jats:sup>D<jats:sup>µ</jats:sup> controller design for a second-order plant model using the closed-loop system design specifications. The effectiveness of the proposed control scheme is demonstrated under different operating conditions such as external load disturbances and input parameter change.</jats:p> </jats:sec>

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic EngineeringCrossRef

Published: Jun 8, 2021

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