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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SAGE Publishing
2016-02-01
|
Series: | Advances in Mechanical Engineering |
Online Access: | https://doi.org/10.1177/1687814016628492 |
_version_ | 1818313412489248768 |
---|---|
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. |
first_indexed | 2024-12-13T08:33:20Z |
format | Article |
id | doaj.art-1d9b52d5313a4b8a8cf4e21153617fd0 |
institution | Directory Open Access Journal |
issn | 1687-8140 |
language | English |
last_indexed | 2024-12-13T08:33:20Z |
publishDate | 2016-02-01 |
publisher | SAGE Publishing |
record_format | Article |
series | Advances in Mechanical Engineering |
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 |
work_keys_str_mv | AT adrianasalinas afamilyofnonlinearpidlikeregulatorsforaclassoftorquedrivenrobotmanipulatorsequippedwithtorqueconstrainedactuators AT javiermorenovalenzuela afamilyofnonlinearpidlikeregulatorsforaclassoftorquedrivenrobotmanipulatorsequippedwithtorqueconstrainedactuators AT rafaelkelly afamilyofnonlinearpidlikeregulatorsforaclassoftorquedrivenrobotmanipulatorsequippedwithtorqueconstrainedactuators AT adrianasalinas familyofnonlinearpidlikeregulatorsforaclassoftorquedrivenrobotmanipulatorsequippedwithtorqueconstrainedactuators AT javiermorenovalenzuela familyofnonlinearpidlikeregulatorsforaclassoftorquedrivenrobotmanipulatorsequippedwithtorqueconstrainedactuators AT rafaelkelly familyofnonlinearpidlikeregulatorsforaclassoftorquedrivenrobotmanipulatorsequippedwithtorqueconstrainedactuators |