Enhanced Arithmetic Optimization Algorithm for Parameter Estimation of PID Controller

The Proportional-Integral-Derivative (PID) controller is a key component in most engineering applications. The main disadvantage of PID is the selection of the best values for its parameters using traditional methods that do not achieve the best response. In this work, the recently released empirica...

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Published in	Arabian journal for science and engineering Vol. 48; no. 2; pp. 2191 - 2205
Main Author	Issa, Mohamed
Format	Journal Article
Language	English
Published	Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2023 Springer Nature B.V
Subjects	Algorithms Arithmetic Computer Engineering and Computer Science Controllers D C motors Electric motors Engineering Humanities and Social Sciences Lower bounds Mathematical analysis multidisciplinary Mutation Optimization Optimization algorithms Parameter estimation Perturbation Proportional integral derivative Research Article-Computer Engineering and Computer Science Science Arithmetic optimization algorithm (AOA) PID controller Harris Hawk optimization algorithm (HHO)
Online Access	Get full text
ISSN	2193-567X 1319-8025 2191-4281
DOI	10.1007/s13369-022-07136-2

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Abstract	The Proportional-Integral-Derivative (PID) controller is a key component in most engineering applications. The main disadvantage of PID is the selection of the best values for its parameters using traditional methods that do not achieve the best response. In this work, the recently released empirical identification algorithm that is the Arithmetic Optimization Algorithm (AOA) was used to determine the best values of the PID parameters. AOA was selected due to its effective exploration ability. Unfortunately, AOA cannot achieve the best parameter values due to its poor exploitation of search space. Hence, the performance of the AOA exploit is improved by combining it with the Harris Hawk Optimization (HHO) algorithm which has an efficient exploit mechanism. In addition, avoidance of trapping in the local lower bounds of AOA–HHO is enhanced by the inclusion of perturbation and mutation factors. The proposed AOA–HHO algorithm is tested when choosing the best values for PID parameters to control two engineering applications namely DC motor regulation and three fluid level sequential tank systems. AOA–HHO has superiority over AOA and comparative algorithms.
AbstractList	The Proportional-Integral-Derivative (PID) controller is a key component in most engineering applications. The main disadvantage of PID is the selection of the best values for its parameters using traditional methods that do not achieve the best response. In this work, the recently released empirical identification algorithm that is the Arithmetic Optimization Algorithm (AOA) was used to determine the best values of the PID parameters. AOA was selected due to its effective exploration ability. Unfortunately, AOA cannot achieve the best parameter values due to its poor exploitation of search space. Hence, the performance of the AOA exploit is improved by combining it with the Harris Hawk Optimization (HHO) algorithm which has an efficient exploit mechanism. In addition, avoidance of trapping in the local lower bounds of AOA–HHO is enhanced by the inclusion of perturbation and mutation factors. The proposed AOA–HHO algorithm is tested when choosing the best values for PID parameters to control two engineering applications namely DC motor regulation and three fluid level sequential tank systems. AOA–HHO has superiority over AOA and comparative algorithms.
Author	Issa, Mohamed
Author_xml	– sequence: 1 givenname: Mohamed orcidid: 0000-0001-8524-8379 surname: Issa fullname: Issa, Mohamed email: Mamohamedali@eng.zu.edu.eg organization: Computer and Systems Department, Faculty of Engineering, Zagazig University, Faculty of Computer Science, NAHDA University in Beni-Suef
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Keywords	Arithmetic optimization algorithm (AOA) PID controller Harris Hawk optimization algorithm (HHO)
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Snippet	The Proportional-Integral-Derivative (PID) controller is a key component in most engineering applications. The main disadvantage of PID is the selection of the...
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SubjectTerms	Algorithms Arithmetic Computer Engineering and Computer Science Controllers D C motors Electric motors Engineering Humanities and Social Sciences Lower bounds Mathematical analysis multidisciplinary Mutation Optimization Optimization algorithms Parameter estimation Perturbation Proportional integral derivative Research Article-Computer Engineering and Computer Science Science
Title	Enhanced Arithmetic Optimization Algorithm for Parameter Estimation of PID Controller
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