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arXiv 1903.04048math.OC
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电动汽车状态约束最短时间控制问题的几何和数值方法

Geometric and numerical methods for a state constrained minimum time control problem of an electric vehicle

Olivier Cots

摘要:

在这篇文章中,电动汽车的最小时间控制问题建模为最优控制中的Mayer问题,具有仿射动力学的控制和状态约束。作为最小值的候选者是从由最大值原理给出的哈密顿系统的一组极值、解中选择的。首先利用几何控制技术进行分析,以减少候选集,然后构造数值方法。这导致使用HamPath软件的间接方法的基础上的数值研究。多重射击和同伦技术被用来建立一个综合方面的边界集的界限。

英文摘要:

In this article, the minimum time control problem of an electric vehicle is modeled as a Mayer problem in optimal control, with affine dynamics with respect to the control and with state constraints. The candidates as minimizers are selected among a set of extremals, solutions of a Hamiltonian system given by the maximum principle. An analysis, with the techniques of geometric control, is used first to reduce the set of candidates and then to construct the numerical methods. This leads to a numerical investigation based on indirect methods using the HamPath software. Multiple shooting and homotopy techniques are used to build a synthesis with respect to the bounds of the boundary sets.

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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