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

Authors
Mikhailov, SA Muller, PC
Citation
Sa. Mikhailov et Pc. Muller, Linear-quadratic optimal control of high index singularly perturbed systems., Z ANG MA ME, 80, 2000, pp. S323-S324
Citations number
2
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
80
Year of publication
2000
Supplement
2
Pages
S323 - S324
Database
ISI
SICI code
0044-2267(2000)80:<S323:LOCOHI>2.0.ZU;2-E
Abstract
We consider singular singularly perturbed problems (SSPP) where the reduced DAE system has index > 1. Using terminology of descriptor systems literatu re, we will call these systems high index singularly perturbed systems. Tik honov-Levinson theory and standard time-scale modeling do not apply for the SSPP. Therefore the related subjects have to be considered in the course o f linear-quadratic optimal control design. These difficulties can be allevi ated by means of decoupling the slow and fast motions in SSPP. We analyse t he general structure of optimal linear-quadratic control design.