Asymptotic method for solving the problem of transition process optimization in a three-tempo singularly perturbed system

A. I. Kalinin, L. I. Lavrinovich
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Abstract

The problem of constructing a transition process with minimal energy costs for a linear singularly perturbed system containing three groups of variables with significantly different rates of change is considered. Asymptotic approximations to solving this problem are constructed in the form of an open-loop and feedback controls. The main advantage of the proposed computational procedures is that the original problem is split into three unperturbed optimal control problems of lower dimension.
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解决三时刻奇异扰动系统中过渡过程优化问题的渐近方法
对于一个包含三组变化率明显不同的变量的线性奇异扰动系统来说,如何构建一个能量成本最小的过渡过程是一个需要考虑的问题。以开环和反馈控制的形式构建了解决这一问题的渐近近似值。提出的计算程序的主要优势在于,原始问题被拆分为三个维度较低的未扰动最优控制问题。
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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