Geometric path planning without maneuvers for nonholonomic parallel orienting robots

Current geometric path planners for nonholonomic parallel orienting robots generate maneuvers consisting of a sequence of moves connected by zero-velocity points. The need for these maneuvers restrains the use of this kind of parallel robots to few applications. Based on a rather old result on linea...

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Detalles Bibliográficos
Autores: Grosch Obregon, Patrick John|||0000-0001-7605-8645, Thomas, Federico|||0000-0001-9341-5528
Tipo de recurso: artículo
Fecha de publicación:2016
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:2117/103077
Acceso en línea:https://hdl.handle.net/2117/103077
https://dx.doi.org/10.1109/LRA.2016.2529688
Access Level:acceso abierto
Palabra clave:Robots -- Kinematics
Radio frequency
Nonholonomic motion planning
Motion and path planning
Parallel robots
Nonholonomic mechanisms and systems
Robots -- Cinemàtica
Radiofreqüència
Àrees temàtiques de la UPC::Informàtica::Robòtica
Descripción
Sumario:Current geometric path planners for nonholonomic parallel orienting robots generate maneuvers consisting of a sequence of moves connected by zero-velocity points. The need for these maneuvers restrains the use of this kind of parallel robots to few applications. Based on a rather old result on linear time-varying systems, this letter shows that there are infinitely differentiable paths connecting two arbitrary points in SO(3) such that the instantaneous axis of rotation along the path rest on a fixed plane. This theoretical result leads to a practical path planner for nonholonomic parallel orienting robots that generates single-move maneuvers. To present this result, we start with a path planner based on three-move maneuvers, and then we proceed by progressively reducing the number of moves to one, thus providing a unified treatment with respect to previous geometric path planners.