Fractional-Order Sensing and Control: Embedding the Nonlinear Dynamics of Robot Manipulators into the Multidimensional Scaling Method

This paper studies the use of multidimensional scaling (MDS) to assess the performance of fractional-order variable structure controllers (VSCs). The test bed consisted of a revolute planar robotic manipulator. The fractional derivatives required by the VSC can be obtained either by adopting numeric...

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Autores principales: António M. Lopes, José A. Tenreiro Machado
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/bb3528c6b44740959594e93e90bddf1e
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spelling oai:doaj.org-article:bb3528c6b44740959594e93e90bddf1e2021-11-25T18:58:54ZFractional-Order Sensing and Control: Embedding the Nonlinear Dynamics of Robot Manipulators into the Multidimensional Scaling Method10.3390/s212277361424-8220https://doaj.org/article/bb3528c6b44740959594e93e90bddf1e2021-11-01T00:00:00Zhttps://www.mdpi.com/1424-8220/21/22/7736https://doaj.org/toc/1424-8220This paper studies the use of multidimensional scaling (MDS) to assess the performance of fractional-order variable structure controllers (VSCs). The test bed consisted of a revolute planar robotic manipulator. The fractional derivatives required by the VSC can be obtained either by adopting numerical real-time signal processing or by using adequate sensors exhibiting fractional dynamics. Integer (fractional) VCS and fractional (integer) sliding mode combinations with different design parameters were tested. Two performance indices based in the time and frequency domains were adopted to compare the system states. The MDS generated the loci of objects corresponding to the tested cases, and the patterns were interpreted as signatures of the system behavior. Numerical experiments illustrated the feasibility and effectiveness of the approach for assessing and visualizing VSC systems.António M. LopesJosé A. Tenreiro MachadoMDPI AGarticlevariable structure controlfractional calculusrobot manipulatorfractional sensormultidimensional scalinginformation visualizationChemical technologyTP1-1185ENSensors, Vol 21, Iss 7736, p 7736 (2021)
institution DOAJ
collection DOAJ
language EN
topic variable structure control
fractional calculus
robot manipulator
fractional sensor
multidimensional scaling
information visualization
Chemical technology
TP1-1185
spellingShingle variable structure control
fractional calculus
robot manipulator
fractional sensor
multidimensional scaling
information visualization
Chemical technology
TP1-1185
António M. Lopes
José A. Tenreiro Machado
Fractional-Order Sensing and Control: Embedding the Nonlinear Dynamics of Robot Manipulators into the Multidimensional Scaling Method
description This paper studies the use of multidimensional scaling (MDS) to assess the performance of fractional-order variable structure controllers (VSCs). The test bed consisted of a revolute planar robotic manipulator. The fractional derivatives required by the VSC can be obtained either by adopting numerical real-time signal processing or by using adequate sensors exhibiting fractional dynamics. Integer (fractional) VCS and fractional (integer) sliding mode combinations with different design parameters were tested. Two performance indices based in the time and frequency domains were adopted to compare the system states. The MDS generated the loci of objects corresponding to the tested cases, and the patterns were interpreted as signatures of the system behavior. Numerical experiments illustrated the feasibility and effectiveness of the approach for assessing and visualizing VSC systems.
format article
author António M. Lopes
José A. Tenreiro Machado
author_facet António M. Lopes
José A. Tenreiro Machado
author_sort António M. Lopes
title Fractional-Order Sensing and Control: Embedding the Nonlinear Dynamics of Robot Manipulators into the Multidimensional Scaling Method
title_short Fractional-Order Sensing and Control: Embedding the Nonlinear Dynamics of Robot Manipulators into the Multidimensional Scaling Method
title_full Fractional-Order Sensing and Control: Embedding the Nonlinear Dynamics of Robot Manipulators into the Multidimensional Scaling Method
title_fullStr Fractional-Order Sensing and Control: Embedding the Nonlinear Dynamics of Robot Manipulators into the Multidimensional Scaling Method
title_full_unstemmed Fractional-Order Sensing and Control: Embedding the Nonlinear Dynamics of Robot Manipulators into the Multidimensional Scaling Method
title_sort fractional-order sensing and control: embedding the nonlinear dynamics of robot manipulators into the multidimensional scaling method
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/bb3528c6b44740959594e93e90bddf1e
work_keys_str_mv AT antoniomlopes fractionalordersensingandcontrolembeddingthenonlineardynamicsofrobotmanipulatorsintothemultidimensionalscalingmethod
AT joseatenreiromachado fractionalordersensingandcontrolembeddingthenonlineardynamicsofrobotmanipulatorsintothemultidimensionalscalingmethod
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