Modeling of inverted pendulum system with gravitational search algorithm optimized controller

The inverted pendulum (IP) is a common classical control theory problem. Many controllers are used to keep the pendulum rod upraise via the control the position of the cart. In this paper, Modelling of IP system is carried out and then verifies the model through comparison with other models in liter...

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Main Authors: Mohamed Magdy, Abdallah El Marhomy, Mahmoud A. Attia
Format: Article
Language:English
Published: Elsevier 2019-03-01
Series:Ain Shams Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S209044791830073X
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author Mohamed Magdy
Abdallah El Marhomy
Mahmoud A. Attia
author_facet Mohamed Magdy
Abdallah El Marhomy
Mahmoud A. Attia
author_sort Mohamed Magdy
collection DOAJ
description The inverted pendulum (IP) is a common classical control theory problem. Many controllers are used to keep the pendulum rod upraise via the control the position of the cart. In this paper, Modelling of IP system is carried out and then verifies the model through comparison with other models in literature. The viscous damping effect on the IP system has been also considered in this work. The PID controller is used to control the IP and is tuned by using both Gravitational Search Algorithm (GSA) and Genetic Algorism (GA). Examination of GSA efficiency has been demonstrated, and then comparison with Genetic Algorism (GA) in the tuning of PID controller is presented. The results proved the superiority of the controller which is tuned by using GSA (PID-GSA). Finally, the optimized controller (PID-GSA) performance is checked through carrying out the robustness test. Keywords: Inverted pendulum, PID controller, Genetic algorithm, Gravitational search algorithm, D'Alembert's principle
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spelling doaj.art-db7d39b59e6b44f1bbbc1d859b38f2462022-12-21T22:04:52ZengElsevierAin Shams Engineering Journal2090-44792019-03-01101129149Modeling of inverted pendulum system with gravitational search algorithm optimized controllerMohamed Magdy0Abdallah El Marhomy1Mahmoud A. Attia2Department of Engineering Physics and Mathematics, Faculty of Engineering, Ain Shams University, Cairo, Egypt; Corresponding author.Department of Engineering Physics and Mathematics, Faculty of Engineering, Ain Shams University, Cairo, EgyptDepartment of Electrical Power and Machines, Faculty of Engineering, Ain Shams University, Cairo, EgyptThe inverted pendulum (IP) is a common classical control theory problem. Many controllers are used to keep the pendulum rod upraise via the control the position of the cart. In this paper, Modelling of IP system is carried out and then verifies the model through comparison with other models in literature. The viscous damping effect on the IP system has been also considered in this work. The PID controller is used to control the IP and is tuned by using both Gravitational Search Algorithm (GSA) and Genetic Algorism (GA). Examination of GSA efficiency has been demonstrated, and then comparison with Genetic Algorism (GA) in the tuning of PID controller is presented. The results proved the superiority of the controller which is tuned by using GSA (PID-GSA). Finally, the optimized controller (PID-GSA) performance is checked through carrying out the robustness test. Keywords: Inverted pendulum, PID controller, Genetic algorithm, Gravitational search algorithm, D'Alembert's principlehttp://www.sciencedirect.com/science/article/pii/S209044791830073X
spellingShingle Mohamed Magdy
Abdallah El Marhomy
Mahmoud A. Attia
Modeling of inverted pendulum system with gravitational search algorithm optimized controller
Ain Shams Engineering Journal
title Modeling of inverted pendulum system with gravitational search algorithm optimized controller
title_full Modeling of inverted pendulum system with gravitational search algorithm optimized controller
title_fullStr Modeling of inverted pendulum system with gravitational search algorithm optimized controller
title_full_unstemmed Modeling of inverted pendulum system with gravitational search algorithm optimized controller
title_short Modeling of inverted pendulum system with gravitational search algorithm optimized controller
title_sort modeling of inverted pendulum system with gravitational search algorithm optimized controller
url http://www.sciencedirect.com/science/article/pii/S209044791830073X
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