On some optimal control problems for electrical circuits

被引：7

作者：

Altmann, Kristof ^{[1
]}

Stingelin, Simon ^{[2
]}

Troeltzsch, Fredi ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Endress Hauser Flowtec AG, Reinach, Switzerland

来源：

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS | 2014年 / 42卷 / 08期

关键词：

time optimal control; nonlinear differential equation; control constraints; numerical solution;

D O I：

10.1002/cta.1889

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Some optimal control problems for linear and nonlinear ordinary differential equations related to the optimal switching between different magnetic fields are considered. The main aim is to move an electrical initial current by a controllable voltage in shortest time to a desired terminal current and to hold it afterwards. Necessary optimality conditions are derived by Pontryagin's principle and a formal Lagrange technique. In the case of a linear system, the principal structure of time-optimal controls is discussed. The associated optimality systems are solved by a one-shot strategy using a multigrid software package. Various numerical examples are discussed. Copyright (C) 2013 John Wiley & Sons, Ltd.

引用

页码：808 / 830

页数：23

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