A family of nonlinear PID-like regulators for a class of torque-driven robot manipulators equipped with torque-constrained actuators

This article addresses the joint position control of torque-driven robot manipulators under actuators subject to torque saturation. Robots having viscous friction, but without gravity vector, are considered. By assuming a static model for the torque actuator (specifically, a model of nonlinear and n...

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Main Authors: Adriana Salinas, Javier Moreno-Valenzuela, Rafael Kelly
Format: Article
Language:English
Published: SAGE Publishing 2016-02-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814016628492
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author Adriana Salinas
Javier Moreno-Valenzuela
Rafael Kelly
author_facet Adriana Salinas
Javier Moreno-Valenzuela
Rafael Kelly
author_sort Adriana Salinas
collection DOAJ
description This article addresses the joint position control of torque-driven robot manipulators under actuators subject to torque saturation. Robots having viscous friction, but without gravity vector, are considered. By assuming a static model for the torque actuator (specifically, a model of nonlinear and non-differentiable hard saturation function), a family of nonlinear proportional–integral–derivative-like controllers is proposed. Lyapunov stability theory is used to establish conditions for local asymptotic stability of the closed-loop system. A notable feature of the proposed controller is that stability conditions do not depend on the saturation levels of the actuators. In addition, an experimental study complements the proposed theory.
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spelling doaj.art-1d9b52d5313a4b8a8cf4e21153617fd02022-12-21T23:53:43ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402016-02-01810.1177/168781401662849210.1177_1687814016628492A family of nonlinear PID-like regulators for a class of torque-driven robot manipulators equipped with torque-constrained actuatorsAdriana Salinas0Javier Moreno-Valenzuela1Rafael Kelly2Departamento de Electrónica y Telecomunicaciones (DET)-DFA, CICESE, Ensenada, MexicoDepartamento de Sistemas y Control, Instituto Politécnico Nacional-CITEDI, Tijuana, MexicoDepartamento de Electrónica y Telecomunicaciones (DET)-DFA, CICESE, Ensenada, MexicoThis article addresses the joint position control of torque-driven robot manipulators under actuators subject to torque saturation. Robots having viscous friction, but without gravity vector, are considered. By assuming a static model for the torque actuator (specifically, a model of nonlinear and non-differentiable hard saturation function), a family of nonlinear proportional–integral–derivative-like controllers is proposed. Lyapunov stability theory is used to establish conditions for local asymptotic stability of the closed-loop system. A notable feature of the proposed controller is that stability conditions do not depend on the saturation levels of the actuators. In addition, an experimental study complements the proposed theory.https://doi.org/10.1177/1687814016628492
spellingShingle Adriana Salinas
Javier Moreno-Valenzuela
Rafael Kelly
A family of nonlinear PID-like regulators for a class of torque-driven robot manipulators equipped with torque-constrained actuators
Advances in Mechanical Engineering
title A family of nonlinear PID-like regulators for a class of torque-driven robot manipulators equipped with torque-constrained actuators
title_full A family of nonlinear PID-like regulators for a class of torque-driven robot manipulators equipped with torque-constrained actuators
title_fullStr A family of nonlinear PID-like regulators for a class of torque-driven robot manipulators equipped with torque-constrained actuators
title_full_unstemmed A family of nonlinear PID-like regulators for a class of torque-driven robot manipulators equipped with torque-constrained actuators
title_short A family of nonlinear PID-like regulators for a class of torque-driven robot manipulators equipped with torque-constrained actuators
title_sort family of nonlinear pid like regulators for a class of torque driven robot manipulators equipped with torque constrained actuators
url https://doi.org/10.1177/1687814016628492
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