Linear-quadratic optimal control of high index singularly perturbed systems.

被引：0

作者：

Mikhailov, SA ^{[1
]}

Müller, PC ^{[1
]}

机构：

[1] Berg Univ Wuppertal, D-42097 Wuppertal, Germany

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2000年 / 80卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider singular singularly perturbed problems (SSPP) where the reduced DAE system has index > 1. Using terminology of descriptor systems literature, we will call these systems high index singularly perturbed systems. Tikhonov-Levinson theory and standard time-scale modeling do not apply for the SSPP. Therefore the related subjects have to be considered in the course of linear-quadratic optimal control design. These difficulties can be alleviated by means of decoupling the slow and fast motions in SSPP. We analyse the general structure of optimal linear-quadratic control design.

引用

页码：S323 / S324

页数：2