Command filtered backstepping control of constrained flexible joint robotic manipulator

Abstract Here, an adaptive radial basis function (RBF) neural network (NN) backstepping controller is proposed for a class of input‐constrained flexible joint robotic manipulators represented by strict‐feedback form with unknown terms, external stochastic disturbance, and output disturbance. The pro...

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Main Authors: Mohammad Mehdi Arefi, Navid Vafamand, Behrouz Homayoun, Mohammadreza Davoodi
Format: Article
Language:English
Published: Wiley 2023-12-01
Series:IET Control Theory & Applications
Subjects:
Online Access:https://doi.org/10.1049/cth2.12528
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author Mohammad Mehdi Arefi
Navid Vafamand
Behrouz Homayoun
Mohammadreza Davoodi
author_facet Mohammad Mehdi Arefi
Navid Vafamand
Behrouz Homayoun
Mohammadreza Davoodi
author_sort Mohammad Mehdi Arefi
collection DOAJ
description Abstract Here, an adaptive radial basis function (RBF) neural network (NN) backstepping controller is proposed for a class of input‐constrained flexible joint robotic manipulators represented by strict‐feedback form with unknown terms, external stochastic disturbance, and output disturbance. The proposed approach is robust against both deterministic and stochastic uncertainties and disturbances and copes with the control input amplitude saturation. Moreover, by deploying the minimal learning parameter method and command filter technique, the computational burden of derivative terms and adaptive terms greatly decreases. Considering the mean‐value theorem assists us to avoid the need for having the input saturation bounds in prior. The suggested tracking control scheme mandates the closed‐loop system states to be semi‐globally bounded‐in‐probability. Also, a quartic Barrier Lyapunov function is utilized to force the tracking error to be confined within a pre‐chosen small region around the origin. Eventually, a numerical simulation of a flexible joint robot manipulator with a single link is performed to show the effectiveness and performance of the developed control method.
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spelling doaj.art-8ccf7b6a67cf44e6852a84e147df05ec2023-12-12T04:52:11ZengWileyIET Control Theory & Applications1751-86441751-86522023-12-0117182506251810.1049/cth2.12528Command filtered backstepping control of constrained flexible joint robotic manipulatorMohammad Mehdi Arefi0Navid Vafamand1Behrouz Homayoun2Mohammadreza Davoodi3Department of Power and Control Engineering School of Electrical and Computer Engineering Shiraz University ShirazIranDepartment of Power and Control Engineering School of Electrical and Computer Engineering Shiraz University ShirazIranDepartment of Power and Control Engineering School of Electrical and Computer Engineering Shiraz University ShirazIranDepartment of Electrical and Computer Engineering The University of Memphis MemphisTennesseeUSAAbstract Here, an adaptive radial basis function (RBF) neural network (NN) backstepping controller is proposed for a class of input‐constrained flexible joint robotic manipulators represented by strict‐feedback form with unknown terms, external stochastic disturbance, and output disturbance. The proposed approach is robust against both deterministic and stochastic uncertainties and disturbances and copes with the control input amplitude saturation. Moreover, by deploying the minimal learning parameter method and command filter technique, the computational burden of derivative terms and adaptive terms greatly decreases. Considering the mean‐value theorem assists us to avoid the need for having the input saturation bounds in prior. The suggested tracking control scheme mandates the closed‐loop system states to be semi‐globally bounded‐in‐probability. Also, a quartic Barrier Lyapunov function is utilized to force the tracking error to be confined within a pre‐chosen small region around the origin. Eventually, a numerical simulation of a flexible joint robot manipulator with a single link is performed to show the effectiveness and performance of the developed control method.https://doi.org/10.1049/cth2.12528adaptive neural tracking controlcommand filterflexible joint robotic manipulatorinput saturationminimal learning parameterstochastic non‐linear systems
spellingShingle Mohammad Mehdi Arefi
Navid Vafamand
Behrouz Homayoun
Mohammadreza Davoodi
Command filtered backstepping control of constrained flexible joint robotic manipulator
IET Control Theory & Applications
adaptive neural tracking control
command filter
flexible joint robotic manipulator
input saturation
minimal learning parameter
stochastic non‐linear systems
title Command filtered backstepping control of constrained flexible joint robotic manipulator
title_full Command filtered backstepping control of constrained flexible joint robotic manipulator
title_fullStr Command filtered backstepping control of constrained flexible joint robotic manipulator
title_full_unstemmed Command filtered backstepping control of constrained flexible joint robotic manipulator
title_short Command filtered backstepping control of constrained flexible joint robotic manipulator
title_sort command filtered backstepping control of constrained flexible joint robotic manipulator
topic adaptive neural tracking control
command filter
flexible joint robotic manipulator
input saturation
minimal learning parameter
stochastic non‐linear systems
url https://doi.org/10.1049/cth2.12528
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AT navidvafamand commandfilteredbacksteppingcontrolofconstrainedflexiblejointroboticmanipulator
AT behrouzhomayoun commandfilteredbacksteppingcontrolofconstrainedflexiblejointroboticmanipulator
AT mohammadrezadavoodi commandfilteredbacksteppingcontrolofconstrainedflexiblejointroboticmanipulator