Robotics: Science and Systems XIII

Optimal Shape and Motion Planning for Dynamic Planar Manipulation

Orion Taylor, Alberto Rodriguez

Abstract:

This paper presents a framework for optimizing both the shape and the motion of a planar rigid end-effector to satisfy a desired manipulation task. We frame this design problem as a nonlinear optimization program, where shape and motion are decision variables represented as splines. The task is represented as a series of constraints, along with a fitness metric,which force the solution to be compatible with the dynamics of frictional hard contact while satisfying the task. We illustrate the approach with the example problem of moving a disk along a desired path or trajectory, and we verify it by applying it to three classical design problems: the rolling brachistochrone, the design of teeth of involute gears, and the pitch curve of rolling cams. We conclude with a case study involving the optimization and real implementation of the shape and motion of a dynamic throwing arm.

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Bibtex:

  
@INPROCEEDINGS{Taylor-RSS-17, 
    AUTHOR    = {Orion Taylor AND Alberto Rodriguez}, 
    TITLE     = {Optimal Shape and Motion Planning for Dynamic Planar Manipulation}, 
    BOOKTITLE = {Proceedings of Robotics: Science and Systems}, 
    YEAR      = {2017}, 
    ADDRESS   = {Cambridge, Massachusetts}, 
    MONTH     = {July}, 
    DOI       = {10.15607/RSS.2017.XIII.055} 
}