Exact interval propagation for the efficient solution of position analysis problems on planar linkages

This paper presents an interval propagation algorithm for variables in planar single-loop linkages. Given intervals of allowed values for all variables, the algorithm provides, for every variable, the whole set of values, with out over-estimation, for which the linkage can actually be assembled. We...

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Detalles Bibliográficos
Autores: Celaya Llover, Enric|||0000-0001-8480-7706, Creemers, Tom Lambert|||0000-0002-3862-0163, Ros Giralt, Lluís|||0000-0002-8338-6062
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/89383
Acceso en línea:https://hdl.handle.net/2117/89383
https://dx.doi.org/10.1016/j.mechmachtheory.2012.03.005
Access Level:acceso abierto
Palabra clave:robot kinematics
interval propagation
planar linkages
box approximation
loop equation
position analysis
forward and inverse kinematics
Classificació INSPEC::Automation::Robots::Robot kinematics
Àrees temàtiques de la UPC::Informàtica::Robòtica
Descripción
Sumario:This paper presents an interval propagation algorithm for variables in planar single-loop linkages. Given intervals of allowed values for all variables, the algorithm provides, for every variable, the whole set of values, with out over-estimation, for which the linkage can actually be assembled. We show further how this algorithm can be integrated in a branch-and-prune search scheme, in order to solve the position analysis of general planar multi-loop linkages. Experimental results are included, comparing the method’s perfor mance with that of previous techniques given for the same task.