Configuration-based compliance control of kinematically redundant robot arm Part I: Theoretical framework

When the robot endpoint compliance is dominantly influenced by the flexibility of its joints, the robot taskspace generalized stiffness matrix can be mapped onto jointspace using appropriate congruence transformation. Thus produced, the jointspace stiffness matrix is generally nondiagonal. Off-diago...

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Main Authors: Petrović Petar B., Lukić Nikola A.
Format: Article
Language:English
Published: University of Belgrade - Faculty of Mechanical Engineering, Belgrade 2017-01-01
Series:FME Transactions
Subjects:
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2017/1451-20921704468P.pdf
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author Petrović Petar B.
Lukić Nikola A.
author_facet Petrović Petar B.
Lukić Nikola A.
author_sort Petrović Petar B.
collection DOAJ
description When the robot endpoint compliance is dominantly influenced by the flexibility of its joints, the robot taskspace generalized stiffness matrix can be mapped onto jointspace using appropriate congruence transformation. Thus produced, the jointspace stiffness matrix is generally nondiagonal. Off-diagonal elements can be generated by redundant actuation only (polyarticular actuators). Although this kind of actuation is widely present in biological systems, its practical implementation in engineering systems is very difficult. To overcome this problem, use of kinematic redundancy is proposed. This two-part paper presents an approach to the control of robot endpoint compliance, i.e., elasto-mechanical interaction between a robot and its environment using kinematic redundancy instead of actuation redundancy. In Part I this approach is developed by proposing the Configuration-based Stiffness Control (CSC) method for kinetostatically consistent control of robot compliant behaviour, based on the gradient projection of the cost function which minimizes the norm of off-diagonal elements of the jointspace matrix.
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spelling doaj.art-60da9f6bf8124391aec1b5ea5f9661ae2022-12-21T20:48:33ZengUniversity of Belgrade - Faculty of Mechanical Engineering, BelgradeFME Transactions1451-20922406-128X2017-01-014544684741451-20921704468PConfiguration-based compliance control of kinematically redundant robot arm Part I: Theoretical frameworkPetrović Petar B.0https://orcid.org/0000-0002-5375-600XLukić Nikola A.1Faculty of Mechanical Engineering Department of Production Engineering, BelgradeFaculty of Mechanical Engineering Department of Production Engineering, BelgradeWhen the robot endpoint compliance is dominantly influenced by the flexibility of its joints, the robot taskspace generalized stiffness matrix can be mapped onto jointspace using appropriate congruence transformation. Thus produced, the jointspace stiffness matrix is generally nondiagonal. Off-diagonal elements can be generated by redundant actuation only (polyarticular actuators). Although this kind of actuation is widely present in biological systems, its practical implementation in engineering systems is very difficult. To overcome this problem, use of kinematic redundancy is proposed. This two-part paper presents an approach to the control of robot endpoint compliance, i.e., elasto-mechanical interaction between a robot and its environment using kinematic redundancy instead of actuation redundancy. In Part I this approach is developed by proposing the Configuration-based Stiffness Control (CSC) method for kinetostatically consistent control of robot compliant behaviour, based on the gradient projection of the cost function which minimizes the norm of off-diagonal elements of the jointspace matrix.https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2017/1451-20921704468P.pdfkinematic redundancycompliance controlnullspace stiffness
spellingShingle Petrović Petar B.
Lukić Nikola A.
Configuration-based compliance control of kinematically redundant robot arm Part I: Theoretical framework
FME Transactions
kinematic redundancy
compliance control
nullspace stiffness
title Configuration-based compliance control of kinematically redundant robot arm Part I: Theoretical framework
title_full Configuration-based compliance control of kinematically redundant robot arm Part I: Theoretical framework
title_fullStr Configuration-based compliance control of kinematically redundant robot arm Part I: Theoretical framework
title_full_unstemmed Configuration-based compliance control of kinematically redundant robot arm Part I: Theoretical framework
title_short Configuration-based compliance control of kinematically redundant robot arm Part I: Theoretical framework
title_sort configuration based compliance control of kinematically redundant robot arm part i theoretical framework
topic kinematic redundancy
compliance control
nullspace stiffness
url https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2017/1451-20921704468P.pdf
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AT lukicnikolaa configurationbasedcompliancecontrolofkinematicallyredundantrobotarmpartitheoreticalframework