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arXiv 2403.03573cs.ROcs.SYeess.SY
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时间最优点对点运动规划:一种两阶段方法

Time-optimal Point-to-point Motion Planning: A Two-stage Approach

KU Leuven(鲁汶大学);Flanders Make(弗兰德斯制造)

Shuhao Zhang, Jan Swevers

AI总结:

针对时间最优点对点运动规划问题,提出固定+可变时间网格的两阶段方法,兼具低计算复杂度与无时间缩放插值误差的优势,并结合异步NMPC更新方案应对计算延迟波动,通过自主导航避障数值算例验证了有效性。

摘要:

本文提出一种两阶段方法来构建时间最优点对点运动规划问题,包含采用固定时间网格的第一阶段与采用可变时间网格的第二阶段。该方法的优势在于:最优控制问题的构建方式直接,控制步数固定且数量少,可将计算复杂度控制在可管理范围内,同时避免了时间缩放带来的插值误差,在目标点距离较远时效果尤为明显。此外,本文将异步非线性模型预测控制(NMPC)更新方案与该两阶段方法相结合,以应对计算时间延迟且波动的问题,支撑在线重规划。通过以带避障的自主导航为核心的数值算例,验证了所提两阶段方法及NMPC实现方案的有效性。

英文摘要:

This paper proposes a two-stage approach to formulate the time-optimal point-to-point motion planning problem, involving a first stage with a fixed time grid and a second stage with a variable time grid. The proposed approach brings benefits through its straightforward optimal control problem formulation with a fixed and low number of control steps for manageable computational complexity and the avoidance of interpolation errors associated with time scaling, especially when aiming to reach a distant goal. Additionally, an asynchronous nonlinear model predictive control (NMPC) update scheme is integrated with this two-stage approach to address delayed and fluctuating computation times, facilitating online replanning. The effectiveness of the proposed two-stage approach and NMPC implementation is demonstrated through numerical examples centered on autonomous navigation with collision avoidance.

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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