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RMPflow: A Computational Graph for Automatic Motion Policy Generation

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arxiv 1811.07049 v2 pith:YHI3VAA2 submitted 2018-11-16 cs.RO cs.SYeess.SY

RMPflow: A Computational Graph for Automatic Motion Policy Generation

classification cs.RO cs.SYeess.SY
keywords policiesrmpflowmotionpolicyrmpscomputationaldesignedsystems
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a novel policy synthesis algorithm, RMPflow, based on geometrically consistent transformations of Riemannian Motion Policies (RMPs). RMPs are a class of reactive motion policies designed to parameterize non-Euclidean behaviors as dynamical systems in intrinsically nonlinear task spaces. Given a set of RMPs designed for individual tasks, RMPflow can consistently combine these local policies to generate an expressive global policy, while simultaneously exploiting sparse structure for computational efficiency. We study the geometric properties of RMPflow and provide sufficient conditions for stability. Finally, we experimentally demonstrate that accounting for the geometry of task policies can simplify classically difficult problems, such as planning through clutter on high-DOF manipulation systems.

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