Finite-Time Output Robust Control for Restricted Joint Flight Emulator Robotic Arm With Adaptive Tangent Barrier Gains

This research presents a novel, robust controller for acceleration tracking in robotic manipulators with time-varying joint limitations, accounting for articulation constraints. The proposed robotic system comprises an arm with limited joint mobility, simulating the dynamic movements required for ef...

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Main Authors: Isaac Chairez, Alejandra Hernandez-Sanchez, Caridad Mireles, Arthur Mukhamedov, Grigory Bugriy, Stepan Lemak, Viktor Chertopolokhov
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10856096/
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author Isaac Chairez
Alejandra Hernandez-Sanchez
Caridad Mireles
Arthur Mukhamedov
Grigory Bugriy
Stepan Lemak
Viktor Chertopolokhov
author_facet Isaac Chairez
Alejandra Hernandez-Sanchez
Caridad Mireles
Arthur Mukhamedov
Grigory Bugriy
Stepan Lemak
Viktor Chertopolokhov
author_sort Isaac Chairez
collection DOAJ
description This research presents a novel, robust controller for acceleration tracking in robotic manipulators with time-varying joint limitations, accounting for articulation constraints. The proposed robotic system comprises an arm with limited joint mobility, simulating the dynamic movements required for effective motion cueing in flight simulators. The proposed robust control approach utilizes adaptive state-dependent gains to achieve finite-time convergence of the acceleration tracking error. Controller gains are determined using a class of controlled tangent barrier Lyapunov functions, ensuring that state constraints are satisfied. A stability analysis of the tracking error provides an explicit design for the state-dependent gains. A convex optimization technique based on matrix inequalities enhances the controller’s convergence rate. Given the complete forward characteristic of the recommended manipulation device, a finite-time convergent super-twisting-based differentiator may be employed to conduct the output feedback of the proposed controller specifically. The robust controller is tested on a reliable platform, a digital replica of the robotic manipulator. Indirect validation of tracking error convergence is provided through numerical evaluations, which also comply with articulation constraints and demonstrate the impact of gain optimization design. A standard state feedback control architecture serves as a benchmark for comparison. The origin is shown to be a fixed-time stable equilibrium point for the tracking error space, provided state space constraints are met, as evidenced by the faster convergence of the mean square estimation of the tracking error. Experimental assessments demonstrate that the barrier controller effectively tracks reference trajectories despite modeling uncertainties and implementation challenges, thereby validating the proposed controller.
format Article
id doaj-art-ec2f8b8824004d76891975bba8b224e9
institution Kabale University
issn 2169-3536
language English
publishDate 2025-01-01
publisher IEEE
record_format Article
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spelling doaj-art-ec2f8b8824004d76891975bba8b224e92025-02-11T00:01:01ZengIEEEIEEE Access2169-35362025-01-0113237002371610.1109/ACCESS.2025.353568310856096Finite-Time Output Robust Control for Restricted Joint Flight Emulator Robotic Arm With Adaptive Tangent Barrier GainsIsaac Chairez0https://orcid.org/0000-0002-7157-2052Alejandra Hernandez-Sanchez1Caridad Mireles2Arthur Mukhamedov3https://orcid.org/0000-0003-4344-6443Grigory Bugriy4https://orcid.org/0000-0002-6971-4189Stepan Lemak5Viktor Chertopolokhov6https://orcid.org/0000-0001-5945-6000Tecnológico de Monterrey, Institute of Advanced Materials for Sustainable Manufacturing, Monterrey, MexicoUniversidad de las Américas Puebla, San Andrés Cholula, Pueble, MexicoTecnológico de Monterrey, Institute of Advanced Materials for Sustainable Manufacturing, Monterrey, MexicoCenter “Supersonic,”, omonosov Moscow State University, Moscow, RussiaFaculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, RussiaFaculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, RussiaCenter “Supersonic,”, omonosov Moscow State University, Moscow, RussiaThis research presents a novel, robust controller for acceleration tracking in robotic manipulators with time-varying joint limitations, accounting for articulation constraints. The proposed robotic system comprises an arm with limited joint mobility, simulating the dynamic movements required for effective motion cueing in flight simulators. The proposed robust control approach utilizes adaptive state-dependent gains to achieve finite-time convergence of the acceleration tracking error. Controller gains are determined using a class of controlled tangent barrier Lyapunov functions, ensuring that state constraints are satisfied. A stability analysis of the tracking error provides an explicit design for the state-dependent gains. A convex optimization technique based on matrix inequalities enhances the controller’s convergence rate. Given the complete forward characteristic of the recommended manipulation device, a finite-time convergent super-twisting-based differentiator may be employed to conduct the output feedback of the proposed controller specifically. The robust controller is tested on a reliable platform, a digital replica of the robotic manipulator. Indirect validation of tracking error convergence is provided through numerical evaluations, which also comply with articulation constraints and demonstrate the impact of gain optimization design. A standard state feedback control architecture serves as a benchmark for comparison. The origin is shown to be a fixed-time stable equilibrium point for the tracking error space, provided state space constraints are met, as evidenced by the faster convergence of the mean square estimation of the tracking error. Experimental assessments demonstrate that the barrier controller effectively tracks reference trajectories despite modeling uncertainties and implementation challenges, thereby validating the proposed controller.https://ieeexplore.ieee.org/document/10856096/Restricted joint motionbarrier Lyapunov functionadaptive controloutput feedback controlrobotic manipulator
spellingShingle Isaac Chairez
Alejandra Hernandez-Sanchez
Caridad Mireles
Arthur Mukhamedov
Grigory Bugriy
Stepan Lemak
Viktor Chertopolokhov
Finite-Time Output Robust Control for Restricted Joint Flight Emulator Robotic Arm With Adaptive Tangent Barrier Gains
IEEE Access
Restricted joint motion
barrier Lyapunov function
adaptive control
output feedback control
robotic manipulator
title Finite-Time Output Robust Control for Restricted Joint Flight Emulator Robotic Arm With Adaptive Tangent Barrier Gains
title_full Finite-Time Output Robust Control for Restricted Joint Flight Emulator Robotic Arm With Adaptive Tangent Barrier Gains
title_fullStr Finite-Time Output Robust Control for Restricted Joint Flight Emulator Robotic Arm With Adaptive Tangent Barrier Gains
title_full_unstemmed Finite-Time Output Robust Control for Restricted Joint Flight Emulator Robotic Arm With Adaptive Tangent Barrier Gains
title_short Finite-Time Output Robust Control for Restricted Joint Flight Emulator Robotic Arm With Adaptive Tangent Barrier Gains
title_sort finite time output robust control for restricted joint flight emulator robotic arm with adaptive tangent barrier gains
topic Restricted joint motion
barrier Lyapunov function
adaptive control
output feedback control
robotic manipulator
url https://ieeexplore.ieee.org/document/10856096/
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