Articulated legs allow energy optimization across different speeds for legged robots with elastically suspended loads

Anna Astolfi, M. Calisti
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Abstract

Legged robots are a promising technology whose use is limited by their high energy consumption. Biological and biomechanical studies have shown that the vibration generated by elastically suspended masses provides an energy advantage over rigidly carrying the same load. The robotic validation of these findings has only scarcely been explored in the dynamic walking case. In this context, a relationship has emerged between the design parameters and the actuation that generates the optimal gait. Although very relevant, these studies lack a generalizable analysis of different locomotion modes and a possible strategy to obtain optimal locomotion at different speeds. To this end, we propose the use of articulated legs in an extended Spring-Loaded Inverted Pendulum (SLIP) model with an elastically suspended mass. Thanks to this model, we show how stiffness and damping can be modulated through articulated legs by selecting the knee angle at touch-down. Therefore, by choosing different body postures, it is possible to vary the control parameters and reach different energetically optimal speeds. At the same time, this modeling allows the study of the stability of the defined system. The results show how suitable control choices reduce energy expenditure by 16% at the limit cycle at a chosen speed. The demonstrated strategy could be used in the design and control of legged robots where energy consumption would be dynamically optimal and usage time would be significantly increased.
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铰接式腿允许弹性悬挂负载的腿式机器人在不同速度下进行能量优化
有腿机器人是一项很有前途的技术,但其使用受到其高能耗的限制。生物学和生物力学研究表明,弹性悬浮质量产生的振动比刚性承载相同负载提供了能量优势。机器人对这些发现的验证几乎没有在动态行走的情况下进行过探索。在这种情况下,设计参数和产生最佳步态的驱动之间的关系已经出现。尽管这些研究非常相关,但缺乏对不同运动模式的概括分析和在不同速度下获得最佳运动的可能策略。为此,我们建议在具有弹性悬挂质量的扩展弹簧加载倒立摆(SLIP)模型中使用铰接腿。多亏了这个模型,我们展示了如何通过在着地时选择膝盖角度来调节关节腿的刚度和阻尼。因此,通过选择不同的身体姿势,可以改变控制参数,达到不同的能量最优速度。同时,该建模允许对所定义系统的稳定性进行研究。结果表明,在选定的速度下,适当的控制选择可以在极限循环下减少16%的能量消耗。该策略可用于有腿机器人的设计和控制,使能量消耗动态优化,使用时间显著增加。
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