Robust Sliding Mode Control of Robot Manipulators Using the Fourier Series Expansion in the Presence of Uncertainty

<p>In this paper, a robust dynamic slip mode controller for an electrical robot manipulator is presented. The control law calculates the motor voltage based on the voltage control strategy. Uncertainties are estimated using the Fourier series expansion and the cutting error is compensated. Fou...

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Main Authors: Abdullah Hadipoor, Siamak Azargoshasb, Abdolrasool Ghasemi
Format: Article
Language:fas
Published: Islamic Azad University Bushehr Branch 2024-02-01
Series:مهندسی مخابرات جنوب
Subjects:
Online Access:https://sanad.iau.ir/journal/jce/Article/869962
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author Abdullah Hadipoor
Siamak Azargoshasb
Abdolrasool Ghasemi
author_facet Abdullah Hadipoor
Siamak Azargoshasb
Abdolrasool Ghasemi
author_sort Abdullah Hadipoor
collection DOAJ
description <p>In this paper, a robust dynamic slip mode controller for an electrical robot manipulator is presented. The control law calculates the motor voltage based on the voltage control strategy. Uncertainties are estimated using the Fourier series expansion and the cutting error is compensated. Fourier coefficients are adjusted based on stability analysis. Also in this paper is the design of a robust controller using a new adaptive Fourier series extension. Compared to previous related works based on the Fourier series expansion, the advantage of this paper is that it provides a matching law for the main frequency of the Fourier series expansion and thus eliminates the need for trial and error in its regulation. A case study of a Scara robot powered by DC magnet electric motors. The effect of uncertainty estimation based on the Fourier series expansion is studied instead of using the sign function. The proposed method is also compared with Legendre polynomials. The simulation results confirm the robust and satisfactory performance of the proposed controller.</p>
format Article
id doaj-art-b3a3669733644e6491168ad412c2c705
institution Kabale University
issn 2980-9231
language fas
publishDate 2024-02-01
publisher Islamic Azad University Bushehr Branch
record_format Article
series مهندسی مخابرات جنوب
spelling doaj-art-b3a3669733644e6491168ad412c2c7052025-01-25T17:51:17ZfasIslamic Azad University Bushehr Branchمهندسی مخابرات جنوب2980-92312024-02-0112467791Robust Sliding Mode Control of Robot Manipulators Using the Fourier Series Expansion in the Presence of UncertaintyAbdullah Hadipoor0Siamak Azargoshasb1Abdolrasool Ghasemi2Department of Electrical Engineering, Bushehr Branch, Islamic Azad University, Bushehr, IranDepartment of Electrical Engineering, Bushehr Branch, Islamic Azad University, Bushehr, IranDepartment of Electrical Engineering, Bushehr Branch, Islamic Azad University, Bushehr, Iran<p>In this paper, a robust dynamic slip mode controller for an electrical robot manipulator is presented. The control law calculates the motor voltage based on the voltage control strategy. Uncertainties are estimated using the Fourier series expansion and the cutting error is compensated. Fourier coefficients are adjusted based on stability analysis. Also in this paper is the design of a robust controller using a new adaptive Fourier series extension. Compared to previous related works based on the Fourier series expansion, the advantage of this paper is that it provides a matching law for the main frequency of the Fourier series expansion and thus eliminates the need for trial and error in its regulation. A case study of a Scara robot powered by DC magnet electric motors. The effect of uncertainty estimation based on the Fourier series expansion is studied instead of using the sign function. The proposed method is also compared with Legendre polynomials. The simulation results confirm the robust and satisfactory performance of the proposed controller.</p>https://sanad.iau.ir/journal/jce/Article/869962robot manipulatorsuncertaintyvoltage control strategysliding mode controlfourier series expansion
spellingShingle Abdullah Hadipoor
Siamak Azargoshasb
Abdolrasool Ghasemi
Robust Sliding Mode Control of Robot Manipulators Using the Fourier Series Expansion in the Presence of Uncertainty
مهندسی مخابرات جنوب
robot manipulators
uncertainty
voltage control strategy
sliding mode control
fourier series expansion
title Robust Sliding Mode Control of Robot Manipulators Using the Fourier Series Expansion in the Presence of Uncertainty
title_full Robust Sliding Mode Control of Robot Manipulators Using the Fourier Series Expansion in the Presence of Uncertainty
title_fullStr Robust Sliding Mode Control of Robot Manipulators Using the Fourier Series Expansion in the Presence of Uncertainty
title_full_unstemmed Robust Sliding Mode Control of Robot Manipulators Using the Fourier Series Expansion in the Presence of Uncertainty
title_short Robust Sliding Mode Control of Robot Manipulators Using the Fourier Series Expansion in the Presence of Uncertainty
title_sort robust sliding mode control of robot manipulators using the fourier series expansion in the presence of uncertainty
topic robot manipulators
uncertainty
voltage control strategy
sliding mode control
fourier series expansion
url https://sanad.iau.ir/journal/jce/Article/869962
work_keys_str_mv AT abdullahhadipoor robustslidingmodecontrolofrobotmanipulatorsusingthefourierseriesexpansioninthepresenceofuncertainty
AT siamakazargoshasb robustslidingmodecontrolofrobotmanipulatorsusingthefourierseriesexpansioninthepresenceofuncertainty
AT abdolrasoolghasemi robustslidingmodecontrolofrobotmanipulatorsusingthefourierseriesexpansioninthepresenceofuncertainty