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arXiv 1702.04396cs.RO
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不确定条件下的混合控制轨迹优化

Hybrid control trajectory optimization under uncertainty

TU Darmstadt(达姆施塔特工业大学);Aalto University(阿尔托大学);Carnegie Mellon University(卡内基梅隆大学);Max Planck Institute for Intelligent Systems(马克斯·普朗克智能系统研究所);University of Lincoln(林肯大学)

Joni Pajarinen, Ville Kyrki, Michael Koval, Siddhartha Srinivasa, Jan Peters, Gerhard Neumann

摘要:

轨迹优化是机器人学中的一个基本问题。虽然连续控制轨迹的优化得到了很好的发展,但许多应用需要离散和连续两者,即,混合动力,控制。由于离散控制组合的指数爆炸,找到混合控制的最佳序列是具有挑战性的。我们的方法,基于微分动态规划(DDP),绕过这个问题,将离散行动内DDP:我们首先优化连续的离散行动的混合物,并随后迫使混合物完全离散的行动。此外,我们展示了如何我们的方法可以扩展到部分可观测马尔可夫决策过程(POMDPs)的轨迹规划下的不确定性。我们验证的方法,在汽车驾驶问题中,机器人必须切换离散齿轮和在一个盒子推的应用程序中,机器人可以切换的一方的盒子推。推盒的姿态和摩擦参数最初是未知的,只能间接观察。

英文摘要:

Trajectory optimization is a fundamental problem in robotics. While optimization of continuous control trajectories is well developed, many applications require both discrete and continuous, i.e., hybrid, controls. Finding an optimal sequence of hybrid controls is challenging due to the exponential explosion of discrete control combinations. Our method, based on Differential Dynamic Programming (DDP), circumvents this problem by incorporating discrete actions inside DDP: we first optimize continuous mixtures of discrete actions, and, subsequently force the mixtures into fully discrete actions. Moreover, we show how our approach can be extended to partially observable Markov decision processes (POMDPs) for trajectory planning under uncertainty. We validate the approach in a car driving problem where the robot has to switch discrete gears and in a box pushing application where the robot can switch the side of the box to push. The pose and the friction parameters of the pushed box are initially unknown and only indirectly observable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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