Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances

The present paper investigates a fixed-time tracking control with fractional-order dynamics for a quadrotor subjected to external disturbances. After giving the formulation problem of a quadrotor system with six subsystems like a second-order system, a fractional-order sliding manifold is then desig...

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Main Authors: Abdellah Benaddy, Moussa Labbadi, Kamal Elyaalaoui, Mostafa Bouzi
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/7/11/775
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author Abdellah Benaddy
Moussa Labbadi
Kamal Elyaalaoui
Mostafa Bouzi
author_facet Abdellah Benaddy
Moussa Labbadi
Kamal Elyaalaoui
Mostafa Bouzi
author_sort Abdellah Benaddy
collection DOAJ
description The present paper investigates a fixed-time tracking control with fractional-order dynamics for a quadrotor subjected to external disturbances. After giving the formulation problem of a quadrotor system with six subsystems like a second-order system, a fractional-order sliding manifold is then designed to achieve a fixed-time convergence of the state variables. In order to cope with the upper bound of the disturbances, a switching fixed-time controller is added to the equivalent control law. Based on the switching law, fixed-time stability is ensured. All analysis and stability are proved using the Lyapunov approach. Finally, the higher performance of the proposed controller fixed-time fractional-order sliding mode control (FTFOSMC) is successfully compared to the two existing techniques through numerical simulations.
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spelling doaj.art-4aafe53565844b7cbf3428ae9b96ff022023-11-24T14:42:56ZengMDPI AGFractal and Fractional2504-31102023-10-0171177510.3390/fractalfract7110775Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External DisturbancesAbdellah Benaddy0Moussa Labbadi1Kamal Elyaalaoui2Mostafa Bouzi3MIET Laboratory, Faculty of Science and Technology, Hassan First University of Settat, Settat 26000, MoroccoLIS UMR CNRS 7020, Aix-Marseille University, 13013 Marseille, FranceLAPLACE, INPT, University of Toulouse, 31058 Toulouse, FranceMIET Laboratory, Faculty of Science and Technology, Hassan First University of Settat, Settat 26000, MoroccoThe present paper investigates a fixed-time tracking control with fractional-order dynamics for a quadrotor subjected to external disturbances. After giving the formulation problem of a quadrotor system with six subsystems like a second-order system, a fractional-order sliding manifold is then designed to achieve a fixed-time convergence of the state variables. In order to cope with the upper bound of the disturbances, a switching fixed-time controller is added to the equivalent control law. Based on the switching law, fixed-time stability is ensured. All analysis and stability are proved using the Lyapunov approach. Finally, the higher performance of the proposed controller fixed-time fractional-order sliding mode control (FTFOSMC) is successfully compared to the two existing techniques through numerical simulations.https://www.mdpi.com/2504-3110/7/11/775quadrotor UAVfractional ordersliding mode controlfixed-time stabilitydisturbances
spellingShingle Abdellah Benaddy
Moussa Labbadi
Kamal Elyaalaoui
Mostafa Bouzi
Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances
Fractal and Fractional
quadrotor UAV
fractional order
sliding mode control
fixed-time stability
disturbances
title Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances
title_full Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances
title_fullStr Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances
title_full_unstemmed Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances
title_short Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances
title_sort fixed time fractional order sliding mode control for uavs under external disturbances
topic quadrotor UAV
fractional order
sliding mode control
fixed-time stability
disturbances
url https://www.mdpi.com/2504-3110/7/11/775
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AT moussalabbadi fixedtimefractionalorderslidingmodecontrolforuavsunderexternaldisturbances
AT kamalelyaalaoui fixedtimefractionalorderslidingmodecontrolforuavsunderexternaldisturbances
AT mostafabouzi fixedtimefractionalorderslidingmodecontrolforuavsunderexternaldisturbances