A MRAC Principle for a Single-Link Electrically Driven Robot with Parameter Uncertainties

In this paper, a model reference adaptive control (MRAC) principle for a one-degree-of-freedom rigid-link electrically driven robot is presented. The proposed control methodology addresses the problem of trajectory tracking with parameter uncertainties in the dynamic model of the system and proposes...

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Main Authors: Carlos Aguilar-Avelar, Javier Moreno-Valenzuela
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2017/9296012
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author Carlos Aguilar-Avelar
Javier Moreno-Valenzuela
author_facet Carlos Aguilar-Avelar
Javier Moreno-Valenzuela
author_sort Carlos Aguilar-Avelar
collection DOAJ
description In this paper, a model reference adaptive control (MRAC) principle for a one-degree-of-freedom rigid-link electrically driven robot is presented. The proposed control methodology addresses the problem of trajectory tracking with parameter uncertainties in the dynamic model of the system and proposes adaptation laws for the electrical and mechanical parameters. Closed-loop stability is rigorously discussed, proving that the tracking error trajectories converge to the origin exponentially. With the aim of performing experimental comparisons, two control schemes are also revisited theoretically and experimentally: one is an algorithm previously reported in the literature and the other is an adaptive controller derived under the assumption that the electrical dynamics of the actuator are negligible. All the discussed controllers have been implemented in an experimental setup consisting in a rigid-link robot actuated with brushed DC motor. The comparison indicates that better results are obtained with the new MRAC scheme.
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spelling doaj-art-f755e89d82d149cb87726e40605c57ac2025-02-03T06:11:37ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/92960129296012A MRAC Principle for a Single-Link Electrically Driven Robot with Parameter UncertaintiesCarlos Aguilar-Avelar0Javier Moreno-Valenzuela1Instituto Politécnico Nacional-CITEDI, Ave. Instituto Politécnico Nacional 1310, Nueva Tijuana, 22435 Tijuana, BC, MexicoInstituto Politécnico Nacional-CITEDI, Ave. Instituto Politécnico Nacional 1310, Nueva Tijuana, 22435 Tijuana, BC, MexicoIn this paper, a model reference adaptive control (MRAC) principle for a one-degree-of-freedom rigid-link electrically driven robot is presented. The proposed control methodology addresses the problem of trajectory tracking with parameter uncertainties in the dynamic model of the system and proposes adaptation laws for the electrical and mechanical parameters. Closed-loop stability is rigorously discussed, proving that the tracking error trajectories converge to the origin exponentially. With the aim of performing experimental comparisons, two control schemes are also revisited theoretically and experimentally: one is an algorithm previously reported in the literature and the other is an adaptive controller derived under the assumption that the electrical dynamics of the actuator are negligible. All the discussed controllers have been implemented in an experimental setup consisting in a rigid-link robot actuated with brushed DC motor. The comparison indicates that better results are obtained with the new MRAC scheme.http://dx.doi.org/10.1155/2017/9296012
spellingShingle Carlos Aguilar-Avelar
Javier Moreno-Valenzuela
A MRAC Principle for a Single-Link Electrically Driven Robot with Parameter Uncertainties
Complexity
title A MRAC Principle for a Single-Link Electrically Driven Robot with Parameter Uncertainties
title_full A MRAC Principle for a Single-Link Electrically Driven Robot with Parameter Uncertainties
title_fullStr A MRAC Principle for a Single-Link Electrically Driven Robot with Parameter Uncertainties
title_full_unstemmed A MRAC Principle for a Single-Link Electrically Driven Robot with Parameter Uncertainties
title_short A MRAC Principle for a Single-Link Electrically Driven Robot with Parameter Uncertainties
title_sort mrac principle for a single link electrically driven robot with parameter uncertainties
url http://dx.doi.org/10.1155/2017/9296012
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