论文标题

能量最佳点对点运动曲线优化

Energy Optimal Point-to-Point Motion Profile Optimization

论文作者

Van Oosterwyck, Nick, Vanbecelaere, Foeke, Knaepkens, Ferre, Monte, Michael, Stockman, Kurt, Cuyt, Annie, Derammelaere, Stijn

论文摘要

驾驶重复任务的位置控制系统在工业机械中至关重要。这些系统中使用的电动执行器负责全球能源消耗的很大一部分,这表明可以在该领域节省大量资金。在这种情况下,运动概况优化是一个非常有效的解决方案,因为它允许无需其他硬件投资或改编而提供更节能的机器。特别是,具有位置依赖性系统特性的单驱动机制在文献中受到了很大的关注。但是,当前的最新方法通常使用无界设计参数来描述动作曲线。这都增加了计算复杂性,并阻碍了寻找全局最佳的搜索。在本文中,Chebyshev多项式用于描述动作曲线。此外,得出了Chebyshev设计参数的确切界限。这都严重降低了计算复杂性并限制了设计空间,从而允许应用全球优化器(例如遗传算法)。实验验证所选方法的附加值。在这项研究中,发现与标准参考运动概况相比,能源消耗可以降低62.9%。

Position-controlled systems driving repetitive tasks are of significant importance in industrial machinery. The electric actuators used in these systems are responsible for a large part of the global energy consumption, indicating that major savings can be made in this field. In this context, motion profile optimization is a very cost-effective solution as it allows for more energy-efficient machines without additional hardware investments or adaptions. In particular, mono-actuated mechanisms with position-dependent system properties have received considerable attention in literature. However, the current state-of-the-art methods often use unbounded design parameters to describe the motion profile. This both increases the computational complexity and hampers the search for a global optimum. In this paper, Chebyshev polynomials are used to describe the motion profile. Moreover, the exact bounds on the Chebyshev design parameters are derived. This both seriously reduces the computational complexity and limits the design space, allowing the application of a global optimizer such as the genetic algorithm. Experiments validate the added value of the chosen approach. In this study, it is found that the energy consumption can be reduced by 62.9% compared to a standard reference motion profile.

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