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Fast Kinodynamic Planning on the Constraint Manifold With Deep Neural Networks

Piotr Kicki; Puze Liu; Davide Tateo; Haitham Bou-Ammar; Krzysztof Walas; Piotr Skrzypczynski; Jan Peters
In: IEEE Transactions on Robotics (T-RO), Vol. 40, Pages 277-297, IEEE, 2024.

Abstract

Motion planning is a mature area of research in robotics with many well-established methods based on optimiza- tion or sampling the state space, suitable for solving kinematic motion planning. However, when dynamic motions under con- straints are needed and computation time is limited, fast kino- dynamic planning on the constraint manifold is indispensable. In recent years, learning-based solutions have become alterna- tives to classical approaches, but they still lack comprehensive handling of complex constraints, such as planning on a lower- dimensional manifold of the task space while considering the robot’s dynamics. This paper introduces a novel learning-to- plan framework that exploits the concept of constraint manifold, including dynamics, and neural planning methods. Our approach generates plans satisfying an arbitrary set of constraints and computes them in a short constant time, namely the inference time of a neural network. This allows the robot to plan and replan reactively, making our approach suitable for dynamic environments. We validate our approach on two simulated tasks and in a demanding real-world scenario, where we use a Kuka LBR Iiwa 14 robotic arm to perform the hitting movement in robotic Air Hockey.

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