A Robust Observer-Based Control Strategy for n-DOF Uncertain Robot Manipulators with Fixed-Time Stability

In this paper, a robust observer-based control strategy for n-DOF uncertain robot manipulators with fixed-time stability was developed. The novel fixed-time nonsingular sliding mode surface enables control errors to converge to the equilibrium point quickly within fixed time without singularity. The...

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Main Authors: Anh Tuan Vo, Thanh Nguyen Truong, Hee-Jun Kang, Mien Van
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/21/21/7084
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author Anh Tuan Vo
Thanh Nguyen Truong
Hee-Jun Kang
Mien Van
author_facet Anh Tuan Vo
Thanh Nguyen Truong
Hee-Jun Kang
Mien Van
author_sort Anh Tuan Vo
collection DOAJ
description In this paper, a robust observer-based control strategy for n-DOF uncertain robot manipulators with fixed-time stability was developed. The novel fixed-time nonsingular sliding mode surface enables control errors to converge to the equilibrium point quickly within fixed time without singularity. The development of the novel fixed-time disturbance observer based on a uniform robust exact differentiator also allows uncertain terms and exterior disturbances to be proactively addressed. The designed observer can accurately approximate uncertain terms within a fixed time and contribute to significant chattering reduction in the traditional sliding mode control. A robust observer-based control strategy was formulated, according to a combination of the fixed-time nonsingular terminal sliding mode control method and the designed observer, to yield global fixed time stability for n-DOF uncertain robot manipulators. The proposed controller proved definitively that it was able to obtain global stabilization in fixed time. The approximation capability of the proposed observer, the convergence of the proposed sliding surface, and the effectiveness of the proposed control strategy in fixed time were fully confirmed by simulation performance on an industrial robot manipulator.
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spelling doaj.art-c38dd609371a43e38877558ef8e673422023-11-22T21:36:21ZengMDPI AGSensors1424-82202021-10-012121708410.3390/s21217084A Robust Observer-Based Control Strategy for n-DOF Uncertain Robot Manipulators with Fixed-Time StabilityAnh Tuan Vo0Thanh Nguyen Truong1Hee-Jun Kang2Mien Van3Department of Electrical, Electronic and Computer Engineering, University of Ulsan, Ulsan 44610, KoreaDepartment of Electrical, Electronic and Computer Engineering, University of Ulsan, Ulsan 44610, KoreaDepartment of Electrical, Electronic and Computer Engineering, University of Ulsan, Ulsan 44610, KoreaSchool of Electronics, Electrical Engineering and Computer Science, Queen’s University Belfast, Belfast BT7 1NN, UKIn this paper, a robust observer-based control strategy for n-DOF uncertain robot manipulators with fixed-time stability was developed. The novel fixed-time nonsingular sliding mode surface enables control errors to converge to the equilibrium point quickly within fixed time without singularity. The development of the novel fixed-time disturbance observer based on a uniform robust exact differentiator also allows uncertain terms and exterior disturbances to be proactively addressed. The designed observer can accurately approximate uncertain terms within a fixed time and contribute to significant chattering reduction in the traditional sliding mode control. A robust observer-based control strategy was formulated, according to a combination of the fixed-time nonsingular terminal sliding mode control method and the designed observer, to yield global fixed time stability for n-DOF uncertain robot manipulators. The proposed controller proved definitively that it was able to obtain global stabilization in fixed time. The approximation capability of the proposed observer, the convergence of the proposed sliding surface, and the effectiveness of the proposed control strategy in fixed time were fully confirmed by simulation performance on an industrial robot manipulator.https://www.mdpi.com/1424-8220/21/21/7084uniform robust exact differentiatornonsingular terminal sliding mode controlfixed-time controlrobot manipulators
spellingShingle Anh Tuan Vo
Thanh Nguyen Truong
Hee-Jun Kang
Mien Van
A Robust Observer-Based Control Strategy for n-DOF Uncertain Robot Manipulators with Fixed-Time Stability
Sensors
uniform robust exact differentiator
nonsingular terminal sliding mode control
fixed-time control
robot manipulators
title A Robust Observer-Based Control Strategy for n-DOF Uncertain Robot Manipulators with Fixed-Time Stability
title_full A Robust Observer-Based Control Strategy for n-DOF Uncertain Robot Manipulators with Fixed-Time Stability
title_fullStr A Robust Observer-Based Control Strategy for n-DOF Uncertain Robot Manipulators with Fixed-Time Stability
title_full_unstemmed A Robust Observer-Based Control Strategy for n-DOF Uncertain Robot Manipulators with Fixed-Time Stability
title_short A Robust Observer-Based Control Strategy for n-DOF Uncertain Robot Manipulators with Fixed-Time Stability
title_sort robust observer based control strategy for n dof uncertain robot manipulators with fixed time stability
topic uniform robust exact differentiator
nonsingular terminal sliding mode control
fixed-time control
robot manipulators
url https://www.mdpi.com/1424-8220/21/21/7084
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