DocumentCode
3267966
Title
Relaxation in singularly perturbed control systems
Author
Artstein, Zvi
Author_Institution
Dept. of Math., Weizmann Inst., Rehovot, Israel
Volume
4
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
4330
Abstract
When slow and fast motions are coupled in a singularly perturbed control system, the application of relaxed controls may be needed on several levels. There may be a need to relax the control affecting the slow and the fast motions and there may be a need to relax the fast flow itself, which serves as a control for the slowly dynamics. The paper examines the need for the different levels of relaxation in the variational limits of the system. In particular, we show how the fast dynamics may be used in order to eliminate relaxation.
Keywords
optimal control; relaxation theory; singularly perturbed systems; variational techniques; fast dynamics; fast motions; optimal control; relaxation; relaxation levels; relaxed control; singularly perturbed control systems; slow dynamics; slow motions; variational limits; Control system synthesis; Control systems; Equations; Lifting equipment; Mathematics; Motion control; Optimal control; Particle measurements;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1185052
Filename
1185052
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