Flatness-Based Active Disturbance Rejection Control for a PVTOL Aircraft System with an Inverted Pendular Load

This paper presents a systematic procedure for the control scheme design for a PVTOL aircraft system with an inverted pendular load, which is a nonlinear underactuated system. The control scheme is based on the use of angular movement as an artificial control in order to propose new auxiliary contro...

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Main Authors: Cesar Alejandro Villaseñor Rios, Alberto Luviano-Juárez, Norma Beatriz Lozada-Castillo, Blanca Esther Carvajal-Gámez, Dante Mújica-Vargas, Octavio Gutiérrez-Frías
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Machines
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Online Access:https://www.mdpi.com/2075-1702/10/7/595
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author Cesar Alejandro Villaseñor Rios
Alberto Luviano-Juárez
Norma Beatriz Lozada-Castillo
Blanca Esther Carvajal-Gámez
Dante Mújica-Vargas
Octavio Gutiérrez-Frías
author_facet Cesar Alejandro Villaseñor Rios
Alberto Luviano-Juárez
Norma Beatriz Lozada-Castillo
Blanca Esther Carvajal-Gámez
Dante Mújica-Vargas
Octavio Gutiérrez-Frías
author_sort Cesar Alejandro Villaseñor Rios
collection DOAJ
description This paper presents a systematic procedure for the control scheme design for a PVTOL aircraft system with an inverted pendular load, which is a nonlinear underactuated system. The control scheme is based on the use of angular movement as an artificial control in order to propose new auxiliary control inputs. This is achieved by a linear extended state observer-based active disturbance rejection control to reject both nonmodeled dynamics and external disturbances. The flying planar inverted pendulum is then linearized around an unstable equilibrium point, and the resulting system is subdivided into two subsystems: (1) the height system, and (2) the horizontal pendulum system. For the height system, a linear extended state observer-based active disturbance rejection control is proposed in order to accomplish a take-off and landing task in the presence of external disturbances and non-linearities neglected in the linearization process. The flatness property in the horizontal-pendulum system is exploited in order to propose another active disturbance rejection control of linear nature. The flatness of the tangentially linearized model provides a unique structural property that results in an advantageous low-order cascade decomposition of the linear extended state observer design. Numerical simulations show the effectiveness of the proposed control scheme in trajectory tracking tasks in the presence of disturbances caused by crosswinds with random amplitudes.
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spelling doaj.art-e454821dcc334ca885ac7206047842352023-12-03T11:51:21ZengMDPI AGMachines2075-17022022-07-0110759510.3390/machines10070595Flatness-Based Active Disturbance Rejection Control for a PVTOL Aircraft System with an Inverted Pendular LoadCesar Alejandro Villaseñor Rios0Alberto Luviano-Juárez1Norma Beatriz Lozada-Castillo2Blanca Esther Carvajal-Gámez3Dante Mújica-Vargas4Octavio Gutiérrez-Frías5Instituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Mexico City 07340, MexicoInstituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Mexico City 07340, MexicoInstituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Mexico City 07340, MexicoInstituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Mexico City 07340, MexicoTecNM-CENIDET, Cuernavaca 62490, Morelos, MexicoInstituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Mexico City 07340, MexicoThis paper presents a systematic procedure for the control scheme design for a PVTOL aircraft system with an inverted pendular load, which is a nonlinear underactuated system. The control scheme is based on the use of angular movement as an artificial control in order to propose new auxiliary control inputs. This is achieved by a linear extended state observer-based active disturbance rejection control to reject both nonmodeled dynamics and external disturbances. The flying planar inverted pendulum is then linearized around an unstable equilibrium point, and the resulting system is subdivided into two subsystems: (1) the height system, and (2) the horizontal pendulum system. For the height system, a linear extended state observer-based active disturbance rejection control is proposed in order to accomplish a take-off and landing task in the presence of external disturbances and non-linearities neglected in the linearization process. The flatness property in the horizontal-pendulum system is exploited in order to propose another active disturbance rejection control of linear nature. The flatness of the tangentially linearized model provides a unique structural property that results in an advantageous low-order cascade decomposition of the linear extended state observer design. Numerical simulations show the effectiveness of the proposed control scheme in trajectory tracking tasks in the presence of disturbances caused by crosswinds with random amplitudes.https://www.mdpi.com/2075-1702/10/7/595underactuated systemsinverted pendulumunmanned aerial vehicleactive disturbance rejection controlnonlinear controlrobust control
spellingShingle Cesar Alejandro Villaseñor Rios
Alberto Luviano-Juárez
Norma Beatriz Lozada-Castillo
Blanca Esther Carvajal-Gámez
Dante Mújica-Vargas
Octavio Gutiérrez-Frías
Flatness-Based Active Disturbance Rejection Control for a PVTOL Aircraft System with an Inverted Pendular Load
Machines
underactuated systems
inverted pendulum
unmanned aerial vehicle
active disturbance rejection control
nonlinear control
robust control
title Flatness-Based Active Disturbance Rejection Control for a PVTOL Aircraft System with an Inverted Pendular Load
title_full Flatness-Based Active Disturbance Rejection Control for a PVTOL Aircraft System with an Inverted Pendular Load
title_fullStr Flatness-Based Active Disturbance Rejection Control for a PVTOL Aircraft System with an Inverted Pendular Load
title_full_unstemmed Flatness-Based Active Disturbance Rejection Control for a PVTOL Aircraft System with an Inverted Pendular Load
title_short Flatness-Based Active Disturbance Rejection Control for a PVTOL Aircraft System with an Inverted Pendular Load
title_sort flatness based active disturbance rejection control for a pvtol aircraft system with an inverted pendular load
topic underactuated systems
inverted pendulum
unmanned aerial vehicle
active disturbance rejection control
nonlinear control
robust control
url https://www.mdpi.com/2075-1702/10/7/595
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