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GLOBAL OPTIMIZATION OF YEO'S OPTIMAL CONTROL PROBLEM

机译:YEO最优控制问题的全局优化

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The optimal control problem introduced by Yeo in 1980 is very challenging, and only recently has the nature of the optimal control policy been determined. The optimal control policy has several places where there is switching to the minimum allowed value. As the number of such dips is increased, the performance index is improved. By using iterative dynamic programming with flexible stage lengths, it is shown that for all practical purposes eight dips in the time interval (0.8, 1) giving I = 0.11888 is sufficiently close to the optimal control policy.
机译:1980年YEO引入的最佳控制问题非常具有挑战性,并且最近仅确定了最佳控制政策的性质。最佳控制策略有几个位置切换到最小允许值的地方。随着这种倾角的数量增加,性能指数得到改善。通过使用具有灵活级长度的迭代动态编程,表明,对于所有实用的目的,在时间间隔(0.8,1)中的八个点,给出I = 0.11888足够接近最佳控制策略。

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