Maroński Ryszard, Rogowski Krzysztof
Institute of Aeronautics and Applied Mechanics, Warsaw, Poland.
Acta Bioeng Biomech. 2011;13(2):83-6.
The article deals with the minimum-time running problem. The time of covering a given distance is minimized. The Hill-Keller model of running employed is based on Newton's second law and the equation of power balance. The problem is formulated in optimal control. The unknown function is the runner's velocity that varies with the distance. The problem is solved applying the direct Chebyshev's pseudospectral method.
本文探讨了最短时间跑步问题。即给定距离的覆盖时间被最小化。所采用的跑步的希尔 - 凯勒模型基于牛顿第二定律和功率平衡方程。该问题在最优控制中进行了公式化表述。未知函数是随距离变化的跑步者速度。该问题通过应用直接切比雪夫拟谱方法得以解决。
