Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets

被引：34

作者：

Karimi, HR

Maralani, PJ

Moshiri, B

Lohmann, B

机构：

[1] Univ Tehran, Fac Engn, Dept Elect & Comp Engn, Control & Intelligent Proc Ctr Excellence, Tehran, Iran

[2] Univ Bremen, Inst Automat, D-28359 Bremen, Germany

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2005年 / 82卷 / 04期

关键词：

singularly perturbed systems; Haar wavelet; optimal control;

D O I：

10.1080/00207160512331323407

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present an implementation of the Haar wavelet to the optimal control of linear singularly perturbed systems. The approximated composite control and the slow and fast trajectories with respect to a quadratic cost function are calculated by solving only the linear algebraic equations. The results are illustrated with a simple example.

引用

页码：495 / 507

页数：13

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