Controller for an Asymmetric Underactuated Hovercraft in Terms of Quasi-Velocities

In this paper, a nonlinear controller for tracking a desired trajectory for an underactuated hovercraft is considered. It is a modification of a method known from the literature. However, the control algorithm considered here has two important features that differ from the mentioned control strategy...

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Main Author: Przemyslaw Herman
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/8/4965
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author Przemyslaw Herman
author_facet Przemyslaw Herman
author_sort Przemyslaw Herman
collection DOAJ
description In this paper, a nonlinear controller for tracking a desired trajectory for an underactuated hovercraft is considered. It is a modification of a method known from the literature. However, the control algorithm considered here has two important features that differ from the mentioned control strategy. First, it concerns the case when the center of mass does not coincide with the geometric center, which results in additional forces and moments of force. The lack of symmetry causes the original trajectory tracking method not to take this fact into account, while the proposed approach is a generalization of the known concept. Here, a diagonalization of the inertia matrix has been applied, by means of a velocity transformation, which made it possible to reduce the symmetric matrix to a diagonal form. Secondly, the transformed quasi-velocity equations of motion allow some insight into the dynamics of the vehicle as it moves, which was not shown in the source work. The offered approach was verified by numerical tests for a hovercraft model with three DOF and for two desired trajectories. The method can be useful in preliminary simulation studies at the controller selection stage without experimental validation.
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spelling doaj.art-910774f5a76e489c92733b63fa32e6dc2023-11-17T18:11:45ZengMDPI AGApplied Sciences2076-34172023-04-01138496510.3390/app13084965Controller for an Asymmetric Underactuated Hovercraft in Terms of Quasi-VelocitiesPrzemyslaw Herman0Institute of Automatic Control and Robotics, Poznan University of Technology, ul. Piotrowo 3a, 60-965 Poznan, PolandIn this paper, a nonlinear controller for tracking a desired trajectory for an underactuated hovercraft is considered. It is a modification of a method known from the literature. However, the control algorithm considered here has two important features that differ from the mentioned control strategy. First, it concerns the case when the center of mass does not coincide with the geometric center, which results in additional forces and moments of force. The lack of symmetry causes the original trajectory tracking method not to take this fact into account, while the proposed approach is a generalization of the known concept. Here, a diagonalization of the inertia matrix has been applied, by means of a velocity transformation, which made it possible to reduce the symmetric matrix to a diagonal form. Secondly, the transformed quasi-velocity equations of motion allow some insight into the dynamics of the vehicle as it moves, which was not shown in the source work. The offered approach was verified by numerical tests for a hovercraft model with three DOF and for two desired trajectories. The method can be useful in preliminary simulation studies at the controller selection stage without experimental validation.https://www.mdpi.com/2076-3417/13/8/4965underactuated hovercraftnonlinear tracking controlsimulation
spellingShingle Przemyslaw Herman
Controller for an Asymmetric Underactuated Hovercraft in Terms of Quasi-Velocities
Applied Sciences
underactuated hovercraft
nonlinear tracking control
simulation
title Controller for an Asymmetric Underactuated Hovercraft in Terms of Quasi-Velocities
title_full Controller for an Asymmetric Underactuated Hovercraft in Terms of Quasi-Velocities
title_fullStr Controller for an Asymmetric Underactuated Hovercraft in Terms of Quasi-Velocities
title_full_unstemmed Controller for an Asymmetric Underactuated Hovercraft in Terms of Quasi-Velocities
title_short Controller for an Asymmetric Underactuated Hovercraft in Terms of Quasi-Velocities
title_sort controller for an asymmetric underactuated hovercraft in terms of quasi velocities
topic underactuated hovercraft
nonlinear tracking control
simulation
url https://www.mdpi.com/2076-3417/13/8/4965
work_keys_str_mv AT przemyslawherman controllerforanasymmetricunderactuatedhovercraftintermsofquasivelocities