The chattering limit of singularly perturbed optimal control problems

The paper examines the structure of the variational limits that may arise in connection with singularly perturbed optimal control problems. Once the notion of a variational limit is displayed, we analyze the roles of the fast and slow components of the singularly perturbed system in the generation o...

Full description

Saved in:
Bibliographic Details
Published inProceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) Vol. 1; pp. 564 - 569 vol.1
Main Author Artstein, Z.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2000
Subjects
Differential equations
Displays
Mathematics
Optimal control
Plugs
Online AccessGet full text

Cover

More Information
Summary:The paper examines the structure of the variational limits that may arise in connection with singularly perturbed optimal control problems. Once the notion of a variational limit is displayed, we analyze the roles of the fast and slow components of the singularly perturbed system in the generation of the variational limits. Comparing a general form of variational limits for singularly perturbed systems to the method of order reduction, which is largely used-yet a special case-is a goal of the paper.
ISBN:0780366387
9780780366381
ISSN:0191-2216
DOI:10.1109/CDC.2000.912824