A Novel Tuning Method of PD With Gravity Compensation Controller for Robot Manipulators

Proportional-Derivative (PD) control is one of the most widely used controllers, especially for robot manipulators. When the robot presents gravitational terms, PD control cannot guarantee position convergence, therefore compensation is required such as PD with gravity compensation, PD+G. PD+G contr...

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Main Authors: Adolfo Perrusquia, Juan Alejandro Flores-Campos, Christopher Rene Torres-San-Miguel
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9122010/
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author Adolfo Perrusquia
Juan Alejandro Flores-Campos
Christopher Rene Torres-San-Miguel
author_facet Adolfo Perrusquia
Juan Alejandro Flores-Campos
Christopher Rene Torres-San-Miguel
author_sort Adolfo Perrusquia
collection DOAJ
description Proportional-Derivative (PD) control is one of the most widely used controllers, especially for robot manipulators. When the robot presents gravitational terms, PD control cannot guarantee position convergence, therefore compensation is required such as PD with gravity compensation, PD+G. PD+G control requires knowledge of the gravitational term and there exist several results that prove global asymptotic stability. However, there is no method to tune the PD gains. In this work, a novel method to tune the PD+G controller is proposed. The tuning method is obtained using the global asymptotic stability result of the La Salle's theorem and robot dynamics properties. A comparison between previous works is realized via simulations and experiments to verify our approach. The results show fast and smooth convergence to the desired reference without overshoots.
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spelling doaj.art-f609147689cf446dbe1b847b61e59e0d2022-12-21T20:29:03ZengIEEEIEEE Access2169-35362020-01-01811477311478310.1109/ACCESS.2020.30038429122010A Novel Tuning Method of PD With Gravity Compensation Controller for Robot ManipulatorsAdolfo Perrusquia0https://orcid.org/0000-0003-2290-1160Juan Alejandro Flores-Campos1https://orcid.org/0000-0002-1632-7716Christopher Rene Torres-San-Miguel2https://orcid.org/0000-0003-0291-7384Departamento de Control Automético, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV-IPN), Mexico City, MexicoUnidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas del Instituto Politécnico Nacional (UPIITA-Instituto Politécnico Nacional), Mexico City, MexicoSección de Estudios de Posgrado e Investigación ESIME-Zacatenco, Instituto Politécnico Nacional, Unidad Profesional Adolfo López Mateos, Mexico City, MexicoProportional-Derivative (PD) control is one of the most widely used controllers, especially for robot manipulators. When the robot presents gravitational terms, PD control cannot guarantee position convergence, therefore compensation is required such as PD with gravity compensation, PD+G. PD+G control requires knowledge of the gravitational term and there exist several results that prove global asymptotic stability. However, there is no method to tune the PD gains. In this work, a novel method to tune the PD+G controller is proposed. The tuning method is obtained using the global asymptotic stability result of the La Salle's theorem and robot dynamics properties. A comparison between previous works is realized via simulations and experiments to verify our approach. The results show fast and smooth convergence to the desired reference without overshoots.https://ieeexplore.ieee.org/document/9122010/Global asymptotic stabilityLyapunov functionPD controlgravity compensationtuning
spellingShingle Adolfo Perrusquia
Juan Alejandro Flores-Campos
Christopher Rene Torres-San-Miguel
A Novel Tuning Method of PD With Gravity Compensation Controller for Robot Manipulators
IEEE Access
Global asymptotic stability
Lyapunov function
PD control
gravity compensation
tuning
title A Novel Tuning Method of PD With Gravity Compensation Controller for Robot Manipulators
title_full A Novel Tuning Method of PD With Gravity Compensation Controller for Robot Manipulators
title_fullStr A Novel Tuning Method of PD With Gravity Compensation Controller for Robot Manipulators
title_full_unstemmed A Novel Tuning Method of PD With Gravity Compensation Controller for Robot Manipulators
title_short A Novel Tuning Method of PD With Gravity Compensation Controller for Robot Manipulators
title_sort novel tuning method of pd with gravity compensation controller for robot manipulators
topic Global asymptotic stability
Lyapunov function
PD control
gravity compensation
tuning
url https://ieeexplore.ieee.org/document/9122010/
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