Finite-Time Path-Following Control of Underactuated AUVs with Actuator Limits Using Disturbance Observer-Based Backstepping Control

This paper presents a three-dimensional (3D) robust adaptive finite-time path-following controller for underactuated Autonomous Underwater Vehicles (AUVs), addressing model uncertainties, external disturbances, and actuator magnitude and rate saturations. A path-following error system is built in a...

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Main Authors: MohammadReza Ebrahimpour, Mihai Lungu
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Drones
Subjects:
Online Access:https://www.mdpi.com/2504-446X/9/1/70
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author MohammadReza Ebrahimpour
Mihai Lungu
author_facet MohammadReza Ebrahimpour
Mihai Lungu
author_sort MohammadReza Ebrahimpour
collection DOAJ
description This paper presents a three-dimensional (3D) robust adaptive finite-time path-following controller for underactuated Autonomous Underwater Vehicles (AUVs), addressing model uncertainties, external disturbances, and actuator magnitude and rate saturations. A path-following error system is built in a path frame using the virtual guidance method. The proposed cascaded closed-loop control scheme can be described in two separate steps: (1) A kinematic law based on a finite-time backstepping control (FTBSC) is introduced to transform the 3D path-following position errors into the command velocities; (2) The actual control inputs are designed in the dynamic controller using an adaptive fixed-time disturbance observer (AFTDO)-based FTBSC to stabilize the velocity tracking errors. Moreover, the adverse effects of magnitude and rate saturations are reduced by an auxiliary compensation system. A Lyapunov-based stability analysis proves that the path-following errors converge to an arbitrarily small region around zero within a finite time. Comparative simulations illustrate the effectiveness and robustness of the proposed controller.
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institution Kabale University
issn 2504-446X
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publishDate 2025-01-01
publisher MDPI AG
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series Drones
spelling doaj-art-1535216e0d9841228adb5994a12577ea2025-01-24T13:29:52ZengMDPI AGDrones2504-446X2025-01-01917010.3390/drones9010070Finite-Time Path-Following Control of Underactuated AUVs with Actuator Limits Using Disturbance Observer-Based Backstepping ControlMohammadReza Ebrahimpour0Mihai Lungu1Faculty of Electrical and Computer Engineering, Tarbiat Modares University, Tehran 1411713116, IranFaculty of Electrical Engineering, University of Craiova, 200585 Craiova, RomaniaThis paper presents a three-dimensional (3D) robust adaptive finite-time path-following controller for underactuated Autonomous Underwater Vehicles (AUVs), addressing model uncertainties, external disturbances, and actuator magnitude and rate saturations. A path-following error system is built in a path frame using the virtual guidance method. The proposed cascaded closed-loop control scheme can be described in two separate steps: (1) A kinematic law based on a finite-time backstepping control (FTBSC) is introduced to transform the 3D path-following position errors into the command velocities; (2) The actual control inputs are designed in the dynamic controller using an adaptive fixed-time disturbance observer (AFTDO)-based FTBSC to stabilize the velocity tracking errors. Moreover, the adverse effects of magnitude and rate saturations are reduced by an auxiliary compensation system. A Lyapunov-based stability analysis proves that the path-following errors converge to an arbitrarily small region around zero within a finite time. Comparative simulations illustrate the effectiveness and robustness of the proposed controller.https://www.mdpi.com/2504-446X/9/1/70path-followingbackstepping controlsliding mode controldisturbance observerfinite-time controlfixed-time control
spellingShingle MohammadReza Ebrahimpour
Mihai Lungu
Finite-Time Path-Following Control of Underactuated AUVs with Actuator Limits Using Disturbance Observer-Based Backstepping Control
Drones
path-following
backstepping control
sliding mode control
disturbance observer
finite-time control
fixed-time control
title Finite-Time Path-Following Control of Underactuated AUVs with Actuator Limits Using Disturbance Observer-Based Backstepping Control
title_full Finite-Time Path-Following Control of Underactuated AUVs with Actuator Limits Using Disturbance Observer-Based Backstepping Control
title_fullStr Finite-Time Path-Following Control of Underactuated AUVs with Actuator Limits Using Disturbance Observer-Based Backstepping Control
title_full_unstemmed Finite-Time Path-Following Control of Underactuated AUVs with Actuator Limits Using Disturbance Observer-Based Backstepping Control
title_short Finite-Time Path-Following Control of Underactuated AUVs with Actuator Limits Using Disturbance Observer-Based Backstepping Control
title_sort finite time path following control of underactuated auvs with actuator limits using disturbance observer based backstepping control
topic path-following
backstepping control
sliding mode control
disturbance observer
finite-time control
fixed-time control
url https://www.mdpi.com/2504-446X/9/1/70
work_keys_str_mv AT mohammadrezaebrahimpour finitetimepathfollowingcontrolofunderactuatedauvswithactuatorlimitsusingdisturbanceobserverbasedbacksteppingcontrol
AT mihailungu finitetimepathfollowingcontrolofunderactuatedauvswithactuatorlimitsusingdisturbanceobserverbasedbacksteppingcontrol