Design and Analysis of Adaptive Fuzzy Super-Twisting Sliding Mode Controller for Uncertain 2-DOF Robotic Manipulator

This paper proposes a robust adaptive fuzzy supertwisting sliding mode controller (AFST-SMC) to enhance the trajectory tracking capability of a 2-DOF robotic manipulator. The novel controller compensates for system uncertainties by adaptively adjusting control parameters based on the angular positio...

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Main Authors: Hayleyesus Girma Dirara, Feleke Tsegaye Yareshe, Chala Merga Abdissa
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/11043144/
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author Hayleyesus Girma Dirara
Feleke Tsegaye Yareshe
Chala Merga Abdissa
author_facet Hayleyesus Girma Dirara
Feleke Tsegaye Yareshe
Chala Merga Abdissa
author_sort Hayleyesus Girma Dirara
collection DOAJ
description This paper proposes a robust adaptive fuzzy supertwisting sliding mode controller (AFST-SMC) to enhance the trajectory tracking capability of a 2-DOF robotic manipulator. The novel controller compensates for system uncertainties by adaptively adjusting control parameters based on the angular position of the target joints. To evaluate the controller’s performance, the dynamic model of a two-link manipulator is derived using the Lagrangian method, and stability analysis of the system is considered according to the Lyapunov Direct Method. Modeling and simulation are performed in Matlab®/Simulink®. Performance is assessed by comparing the proposed AFST-SMC with conventional sliding mode controller (SMC), super-twisting sliding mode controller (ST-SMC), and adaptive fuzzy sliding mode controller (AF-SMC), using integral absolute error (IAE) as a performance criterion. The simulation results indicate that the AF-STSMC successfully reduces the tracking error. For link 1, the IAE is reduced to 0.01465 rad, representing a 99.9% reduction compared to SMC (14.24 rad), an 85% reduction compared to ST-SMC (0.0977 rad), and a 78.5% reduction compared to AF-SMC (0.06819 rad). Similarly, in link 2, the AF-STSMC gives an IAE of 0.003862 rad that is equivalent to a 99.93% decrease with respect to SMC (5.723 rad), a 98.7% increase over ST-SMC (0.306 rad), and a 91.2% decrease compared to AF-SMC (0.04391 rad). It is therefore clear that the designed AFST-SMC performs better than the controllers in terms of accuracy and robustness to achieve the required performance specifications of accurate trajectory tracking by robotic manipulators.
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spelling doaj-art-0fb9d3b960b3434bab1ec9518f1bc4dc2025-08-20T03:15:51ZengIEEEIEEE Access2169-35362025-01-011311024111025410.1109/ACCESS.2025.358144911043144Design and Analysis of Adaptive Fuzzy Super-Twisting Sliding Mode Controller for Uncertain 2-DOF Robotic ManipulatorHayleyesus Girma Dirara0Feleke Tsegaye Yareshe1https://orcid.org/0009-0005-8636-8192Chala Merga Abdissa2https://orcid.org/0000-0003-3685-4887School of Electrical and Computer Engineering, Wolaita Sodo University, Sodo, EthiopiaInformation Network Security Administration (INSA), Addis Ababa, EthiopiaSchool of Electrical and Computer Engineering, Addis Ababa University, Addis Ababa, EthiopiaThis paper proposes a robust adaptive fuzzy supertwisting sliding mode controller (AFST-SMC) to enhance the trajectory tracking capability of a 2-DOF robotic manipulator. The novel controller compensates for system uncertainties by adaptively adjusting control parameters based on the angular position of the target joints. To evaluate the controller’s performance, the dynamic model of a two-link manipulator is derived using the Lagrangian method, and stability analysis of the system is considered according to the Lyapunov Direct Method. Modeling and simulation are performed in Matlab®/Simulink®. Performance is assessed by comparing the proposed AFST-SMC with conventional sliding mode controller (SMC), super-twisting sliding mode controller (ST-SMC), and adaptive fuzzy sliding mode controller (AF-SMC), using integral absolute error (IAE) as a performance criterion. The simulation results indicate that the AF-STSMC successfully reduces the tracking error. For link 1, the IAE is reduced to 0.01465 rad, representing a 99.9% reduction compared to SMC (14.24 rad), an 85% reduction compared to ST-SMC (0.0977 rad), and a 78.5% reduction compared to AF-SMC (0.06819 rad). Similarly, in link 2, the AF-STSMC gives an IAE of 0.003862 rad that is equivalent to a 99.93% decrease with respect to SMC (5.723 rad), a 98.7% increase over ST-SMC (0.306 rad), and a 91.2% decrease compared to AF-SMC (0.04391 rad). It is therefore clear that the designed AFST-SMC performs better than the controllers in terms of accuracy and robustness to achieve the required performance specifications of accurate trajectory tracking by robotic manipulators.https://ieeexplore.ieee.org/document/11043144/AF-STSMC2-DOF robotic manipulatorSMCST-SMCuncertainties
spellingShingle Hayleyesus Girma Dirara
Feleke Tsegaye Yareshe
Chala Merga Abdissa
Design and Analysis of Adaptive Fuzzy Super-Twisting Sliding Mode Controller for Uncertain 2-DOF Robotic Manipulator
IEEE Access
AF-STSMC
2-DOF robotic manipulator
SMC
ST-SMC
uncertainties
title Design and Analysis of Adaptive Fuzzy Super-Twisting Sliding Mode Controller for Uncertain 2-DOF Robotic Manipulator
title_full Design and Analysis of Adaptive Fuzzy Super-Twisting Sliding Mode Controller for Uncertain 2-DOF Robotic Manipulator
title_fullStr Design and Analysis of Adaptive Fuzzy Super-Twisting Sliding Mode Controller for Uncertain 2-DOF Robotic Manipulator
title_full_unstemmed Design and Analysis of Adaptive Fuzzy Super-Twisting Sliding Mode Controller for Uncertain 2-DOF Robotic Manipulator
title_short Design and Analysis of Adaptive Fuzzy Super-Twisting Sliding Mode Controller for Uncertain 2-DOF Robotic Manipulator
title_sort design and analysis of adaptive fuzzy super twisting sliding mode controller for uncertain 2 dof robotic manipulator
topic AF-STSMC
2-DOF robotic manipulator
SMC
ST-SMC
uncertainties
url https://ieeexplore.ieee.org/document/11043144/
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AT chalamergaabdissa designandanalysisofadaptivefuzzysupertwistingslidingmodecontrollerforuncertain2dofroboticmanipulator