NUMERICAL COMPUTATION OF SINGULAR CONTROL PROBLEMS WITH APPLICATION TO OPTIMAL HEATING AND COOLING BY SOLAR-ENERGY

被引：16

作者：

OBERLE, HJ

机构：

[1] Institut für Mathematik, Technischen Universität, München 2, D8000

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1979年 / 5卷 / 04期

关键词：

D O I：

10.1007/BF01442560

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The method presented here is an extension of the multiple shooting algorithm in order to handle multipoint boundary-value problems and problems of optimal control in the special situation of singular controls or constraints on the state variables. This generalization allows a direct treatment of (nonlinear) conditions at switching points. As an example a model of optimal heating and cooling by solar energy is considered. The model is given in the form of an optimal control problem with three control functions appearing linearly and a first order constraint on the state variables. Numerical solutions of this problem by multiple shooting techniques are presented. © 1979 Springer-Verlag New York Inc.

引用

页码：297 / 314

页数：18