Proportional–Integral–Derivative Controller Design Using an Advanced Lévy-Flight Salp Swarm Algorithm for Hydraulic Systems

To improve the control ability of proportional−integral−derivative (PID) controllers and increase the stability of force actuator systems, this paper introduces a PID controller based on the self-growing lévy-flight salp swarm algorithm (SG-LSSA) in the force actuator sy...

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Main Authors: Yuqi Fan, Junpeng Shao, Guitao Sun, Xuan Shao
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/2/459
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author Yuqi Fan
Junpeng Shao
Guitao Sun
Xuan Shao
author_facet Yuqi Fan
Junpeng Shao
Guitao Sun
Xuan Shao
author_sort Yuqi Fan
collection DOAJ
description To improve the control ability of proportional−integral−derivative (PID) controllers and increase the stability of force actuator systems, this paper introduces a PID controller based on the self-growing lévy-flight salp swarm algorithm (SG-LSSA) in the force actuator system. First, the force actuator system model was built, and the transfer function model was obtained by the identification of system parameters identifying. Second, the SG-LSSA was proposed and used to test ten benchmark functions. Then, SG-LSSA-PID, whose parameters were tuned by SG-LSSA, was applied to the electro-hydraulic force actuator system to suppress interference signals. Finally, the temporal response characteristic and the frequency response characteristic were studied and compared with different algorithms. Ten benchmark function experiments indicate that SG-LSSA has a superior convergence speed and perfect optimization capability. The system performance results demonstrate that the electro-hydraulic force actuator system utilized the SG-LSSA-PID controller has a remarkable capability to maintain the stability and robustness under unknown interference signals.
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spelling doaj.art-8468dca829e24bb095a89027c03fae072022-12-22T04:01:06ZengMDPI AGEnergies1996-10732020-01-0113245910.3390/en13020459en13020459Proportional–Integral–Derivative Controller Design Using an Advanced Lévy-Flight Salp Swarm Algorithm for Hydraulic SystemsYuqi Fan0Junpeng Shao1Guitao Sun2Xuan Shao3Key Laboratory of Advanced Manufacturing and Intelligent Technology, Ministry of Education, School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, ChinaKey Laboratory of Advanced Manufacturing and Intelligent Technology, Ministry of Education, School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, ChinaKey Laboratory of Advanced Manufacturing and Intelligent Technology, Ministry of Education, School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, ChinaKey Laboratory of Advanced Manufacturing and Intelligent Technology, Ministry of Education, School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, ChinaTo improve the control ability of proportional−integral−derivative (PID) controllers and increase the stability of force actuator systems, this paper introduces a PID controller based on the self-growing lévy-flight salp swarm algorithm (SG-LSSA) in the force actuator system. First, the force actuator system model was built, and the transfer function model was obtained by the identification of system parameters identifying. Second, the SG-LSSA was proposed and used to test ten benchmark functions. Then, SG-LSSA-PID, whose parameters were tuned by SG-LSSA, was applied to the electro-hydraulic force actuator system to suppress interference signals. Finally, the temporal response characteristic and the frequency response characteristic were studied and compared with different algorithms. Ten benchmark function experiments indicate that SG-LSSA has a superior convergence speed and perfect optimization capability. The system performance results demonstrate that the electro-hydraulic force actuator system utilized the SG-LSSA-PID controller has a remarkable capability to maintain the stability and robustness under unknown interference signals.https://www.mdpi.com/1996-1073/13/2/459salp swarm algorithmpid controllercontrol strategy
spellingShingle Yuqi Fan
Junpeng Shao
Guitao Sun
Xuan Shao
Proportional–Integral–Derivative Controller Design Using an Advanced Lévy-Flight Salp Swarm Algorithm for Hydraulic Systems
Energies
salp swarm algorithm
pid controller
control strategy
title Proportional–Integral–Derivative Controller Design Using an Advanced Lévy-Flight Salp Swarm Algorithm for Hydraulic Systems
title_full Proportional–Integral–Derivative Controller Design Using an Advanced Lévy-Flight Salp Swarm Algorithm for Hydraulic Systems
title_fullStr Proportional–Integral–Derivative Controller Design Using an Advanced Lévy-Flight Salp Swarm Algorithm for Hydraulic Systems
title_full_unstemmed Proportional–Integral–Derivative Controller Design Using an Advanced Lévy-Flight Salp Swarm Algorithm for Hydraulic Systems
title_short Proportional–Integral–Derivative Controller Design Using an Advanced Lévy-Flight Salp Swarm Algorithm for Hydraulic Systems
title_sort proportional integral derivative controller design using an advanced levy flight salp swarm algorithm for hydraulic systems
topic salp swarm algorithm
pid controller
control strategy
url https://www.mdpi.com/1996-1073/13/2/459
work_keys_str_mv AT yuqifan proportionalintegralderivativecontrollerdesignusinganadvancedlevyflightsalpswarmalgorithmforhydraulicsystems
AT junpengshao proportionalintegralderivativecontrollerdesignusinganadvancedlevyflightsalpswarmalgorithmforhydraulicsystems
AT guitaosun proportionalintegralderivativecontrollerdesignusinganadvancedlevyflightsalpswarmalgorithmforhydraulicsystems
AT xuanshao proportionalintegralderivativecontrollerdesignusinganadvancedlevyflightsalpswarmalgorithmforhydraulicsystems