arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.11261cs.RO
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基于解析可解接触模型的变地面运动接触隐式轨迹优化

Contact-Implicit Trajectory Optimization using an Analytically Solvable Contact Model for Locomotion on Variable Ground

The University of Edinburgh(爱丁堡大学);Agency for Science, Technology and Research (A*STAR)(新加坡科技研究局)

Iordanis Chatzinikolaidis, Yangwei You, Zhibin Li

摘要:

本文提出了一种新的接触隐式轨迹优化方法,使用解析可解的接触模型,使规划的相互作用与硬,软,滑的环境。具体来说,我们提出了一种新的接触模型,可以计算在封闭的形式,满足摩擦锥约束,并可以嵌入到直接轨迹优化框架没有互补约束。的封闭形式的解决方案是从其他驱动力的接触力的计算,并使用此属性来制定一个最小的直接优化问题,只与配置变量表示。仿真研究表明,该方法优于刚性接触模型和基于互补约束的轨迹优化方法。所提出的模型使基于物理的优化与硬,滑,软的地面在一个统一的方式只表示两个参数的广泛的相互作用。通过计算一个四足机器人的小跑和跳跃运动,所提出的优化演示了多接触运动规划在不同的物理特性的表面上的通用性。

英文摘要:

This paper presents a novel contact-implicit trajectory optimization method using an analytically solvable contact model to enable planning of interactions with hard, soft, and slippery environments. Specifically, we propose a novel contact model that can be computed in closed-form, satisfies friction cone constraints and can be embedded into direct trajectory optimization frameworks without complementarity constraints. The closed-form solution decouples the computation of the contact forces from other actuation forces and this property is used to formulate a minimal direct optimization problem expressed with configuration variables only. Our simulation study demonstrates the advantages over the rigid contact model and a trajectory optimization approach based on complementarity constraints. The proposed model enables physics-based optimization for a wide range of interactions with hard, slippery, and soft grounds in a unified manner expressed by two parameters only. By computing trotting and jumping motions for a quadruped robot, the proposed optimization demonstrates the versatility for multi-contact motion planning on surfaces with different physical properties.

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