A geometric motion planning for a spin-rolling sphere on a plane

DOI10.1016/j.apm.2023.05.009zbMath1525.70038MaRDI QIDQ6072780

Seyed Amir Tafrishi, Motoji Yamamoto, Yasuhisa Hirata, Mikhail Svinin

Publication date: 13 October 2023

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

shortest pathmotion planninggeometric mechanicsDarboux framespin-rollingsmooth trajectory

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99)

Cites Work

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• Spherical robot of combined type: dynamics and control
• On the dynamic model and motion planning for a spherical rolling robot actuated by orthogonal internal rotors
• How to control the Chaplygin ball using rotors. II
• How to control Chaplygin's sphere using rotors
• The geometry of the plate-ball problem
• Exponential stabilization of the rolling sphere
• Geometric kinematic control of a spherical rolling robot
• Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem
• Rolling bodies with regular surface: controllability theory and applications
• Differential Geometry of Curves and Surfaces
• Maxwell strata and symmetries in the problem of optimal rolling of a sphere over a plane
• The optimal rolling of a sphere, with twisting but without slipping
• Extremal trajectories and the asymptotics of the Maxwell time in the problem of the optimal rolling of a sphere on a plane
• On Hammersley's minimum problem for a rolling sphere
• Velocity and Acceleration Analysis of Contact Between Three-Dimensional Rigid Bodies

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