无限阶双曲型最优控制问题的灵敏度分析

2010 15th International Conference on Methods and Models in Automation and Robotics Pub Date : 2010-09-27 DOI:10.1109/MMAR.2010.5587250

A. Kowalewski, A. Krakowiak, Z. Emirsajlow, J. Sokołowski

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引用次数: 2

摘要

本文对一类无限阶双曲型方程的最优控制问题进行了一阶灵敏度分析。以圆孔的形式引入几何积分域的奇异摄动。定义了圆上的Steklov-Poincare算子，将问题简化为截断域中的正则扰动。将最优性系统对小参数微分，得到最优控制的方向导数，作为辅助最优控制问题的解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sensitivity analysis of infinite order hyperbolic optimal control problems

In the paper the first order sensitivity analysis is performed for a class of optimal control problems for infinite order hyperbolic equations. A singular perturbation of geometrical domain of integration is introduced in the form of a circular hole. The Steklov-Poincare´ operator on a circle is defined in order to reduce the problem to regular perturbations in the truncated domain. The optimality system is differentiated with respect to the small parameter and the directional derivative of the optimal control is obtained as a solution to an auxiliary optimal control problem.

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2010 15th International Conference on Methods and Models in Automation and Robotics

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