A variable time transformation method for mixed-integer optimal control problems
A variable time transformation method for mixed-integer optimal control problems
复制标题
DOI：
10.1002/oca.778
复制
发表时间：
2006-05-01
影响因子：
1.8
通讯作者：
Gerdts, M
中科院分区：
文献类型：
--
作者：
Gerdts, M
本文讨论了混合整数非线性最优控制问题（MIOCP）近似解的变时间变换方法。此类最优控制问题包含实值控制和离散值控制。该方法使用离散化将 MIOCP 转化为仅具有实值控制的最优控制问题。后者可以通过直接射击的方法有效解决。针对涉及汽车换档离散值控制的汽车试驾问题获得了数值结果。结果与 Branch&Bound 获得的结果进行比较，显示计算时间大大减少。这种非常好的性能使得建议的方法甚至适用于许多离散化点。版权所有 (C) 2006 John Wiley & Sons, Ltd.
The article discusses a variable time transformation method for the approximate solution of mixed-integer non-linear optimal control problems (MIOCP). Such optimal control problems enclose real-valued and discrete-valued controls. The method transforms MIOCP using a discretization into an optimal control problem with only real-valued controls. The latter can be solved efficiently by direct shooting methods. Numerical results are obtained for a problem from automobile test-driving that involves a discrete-valued control for the gear shift of the car. The results are compared to those obtained by Branch&Bound and show a drastic reduction of computation time. This very good performance makes the suggested method applicable even for many discretization points. Copyright (C) 2006 John Wiley & Sons, Ltd.