时间最优转移在一个球体上

1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes Pub Date : 1900-01-01 DOI:10.1109/CDC.1978.267989

Abraham Sharon, G. Blankenship

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引用次数: 0

摘要

研究一类状态在球面S2上演化的系统的时间最优控制问题。该系统用双线性齐次常微分方程组来描述。这些控件独立地起作用，并且在大小上是有限的。利用状态空间的几何结构，得到了最优控制律的封闭解。解决方案是bang-bang型，最多需要一个开关。

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Time optimal transfers on a sphere

This paper is concerned with the time optimal control problem of a system whose state is evolving on the sphere S2. The system is described by a bilinear homogeneous set of ordinary differential equations. The controls act independently and are bounded in magnitude. A closed form solution has been obtained for optimal control law by exploiting the geometric structure of the state space. The solution is of bang-bang type with at most one switch required.

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1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes

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