Real-Time Improvement of a Trajectory-Tracking Control Based on Super-Twisting Algorithm for a Quadrotor Aircraft

This article addresses the development and experimental validation of a trajectory-tracking control for a miniature autonomous Quadrotor helicopter system (X4-prototype) using a robust algorithm control based on second-order sliding mode technique or also known as <i>super-twisting algorithm&l...

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Main Authors: Iván González-Hernández, Sergio Salazar, Rogelio Lozano, Oscar Ramírez-Ayala
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Drones
Subjects:
Online Access:https://www.mdpi.com/2504-446X/6/2/36
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author Iván González-Hernández
Sergio Salazar
Rogelio Lozano
Oscar Ramírez-Ayala
author_facet Iván González-Hernández
Sergio Salazar
Rogelio Lozano
Oscar Ramírez-Ayala
author_sort Iván González-Hernández
collection DOAJ
description This article addresses the development and experimental validation of a trajectory-tracking control for a miniature autonomous Quadrotor helicopter system (X4-prototype) using a robust algorithm control based on second-order sliding mode technique or also known as <i>super-twisting algorithm</i> in outdoor environments. This nonlinear control strategy guarantees the convergence in finite time to a desired path <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula> in the presence of external disturbances or uncertainties in the model affecting the appropriate behavior of our Quadrotor helicopter. For this purpose, a polynomial smooth curve trajectory is selected as a reference signal where the corresponding derivatives of the function are bounded. Moreover, we consider disturbances due to wind gusts acting on the aerial vehicle, and the reference signal is pre-programmed in an advanced autopilot system. The proposed solution consists of implementing a real-time control law based on super-twisting control using GPS measurements in order to obtain the position in the xy-plane to accomplish the desired trajectory. Simulation and experimental results of trajectory-tracking control are presented to demonstrate the performance and robustness of the proposed nonlinear controller in windy conditions.
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spelling doaj.art-9cf9ba6a94d6489f97e61c24827df4ae2023-11-23T19:35:49ZengMDPI AGDrones2504-446X2022-01-01623610.3390/drones6020036Real-Time Improvement of a Trajectory-Tracking Control Based on Super-Twisting Algorithm for a Quadrotor AircraftIván González-Hernández0Sergio Salazar1Rogelio Lozano2Oscar Ramírez-Ayala3UMI-LAFMIA 3175 CNRS, Cinvestav, Mexico City 07360, MexicoUMI-LAFMIA 3175 CNRS, Cinvestav, Mexico City 07360, MexicoUMI-LAFMIA 3175 CNRS, Cinvestav, Mexico City 07360, MexicoUMI-LAFMIA 3175 CNRS, Cinvestav, Mexico City 07360, MexicoThis article addresses the development and experimental validation of a trajectory-tracking control for a miniature autonomous Quadrotor helicopter system (X4-prototype) using a robust algorithm control based on second-order sliding mode technique or also known as <i>super-twisting algorithm</i> in outdoor environments. This nonlinear control strategy guarantees the convergence in finite time to a desired path <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula> in the presence of external disturbances or uncertainties in the model affecting the appropriate behavior of our Quadrotor helicopter. For this purpose, a polynomial smooth curve trajectory is selected as a reference signal where the corresponding derivatives of the function are bounded. Moreover, we consider disturbances due to wind gusts acting on the aerial vehicle, and the reference signal is pre-programmed in an advanced autopilot system. The proposed solution consists of implementing a real-time control law based on super-twisting control using GPS measurements in order to obtain the position in the xy-plane to accomplish the desired trajectory. Simulation and experimental results of trajectory-tracking control are presented to demonstrate the performance and robustness of the proposed nonlinear controller in windy conditions.https://www.mdpi.com/2504-446X/6/2/36super-twisting controllerrobust trajectory-tracking controlsecond order sliding moderobust control
spellingShingle Iván González-Hernández
Sergio Salazar
Rogelio Lozano
Oscar Ramírez-Ayala
Real-Time Improvement of a Trajectory-Tracking Control Based on Super-Twisting Algorithm for a Quadrotor Aircraft
Drones
super-twisting controller
robust trajectory-tracking control
second order sliding mode
robust control
title Real-Time Improvement of a Trajectory-Tracking Control Based on Super-Twisting Algorithm for a Quadrotor Aircraft
title_full Real-Time Improvement of a Trajectory-Tracking Control Based on Super-Twisting Algorithm for a Quadrotor Aircraft
title_fullStr Real-Time Improvement of a Trajectory-Tracking Control Based on Super-Twisting Algorithm for a Quadrotor Aircraft
title_full_unstemmed Real-Time Improvement of a Trajectory-Tracking Control Based on Super-Twisting Algorithm for a Quadrotor Aircraft
title_short Real-Time Improvement of a Trajectory-Tracking Control Based on Super-Twisting Algorithm for a Quadrotor Aircraft
title_sort real time improvement of a trajectory tracking control based on super twisting algorithm for a quadrotor aircraft
topic super-twisting controller
robust trajectory-tracking control
second order sliding mode
robust control
url https://www.mdpi.com/2504-446X/6/2/36
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AT rogeliolozano realtimeimprovementofatrajectorytrackingcontrolbasedonsupertwistingalgorithmforaquadrotoraircraft
AT oscarramirezayala realtimeimprovementofatrajectorytrackingcontrolbasedonsupertwistingalgorithmforaquadrotoraircraft