DocumentCode
3784587
Title
Controllability and time-optimal control of systems with slow and fast modes
Author
P. Kokotovic;A. Haddad
Author_Institution
University of Illinois, Urbana, IL, USA
Volume
20
Issue
1
fYear
1975
Firstpage
111
Lastpage
113
Abstract
The controllability of linear systems with large and small time constants (singularly perturbed systems) is established. The time-optimal control of such systems is shown to be separable into two time scales related to the slow and fast modes of the system. An approximate design method of the time-optimal control is proposed, which is based on the separability of the fast and slow controls.
Keywords
"Controllability","Control systems","Eigenvalues and eigenfunctions","Linear systems","Optimal control","Design methodology","H infinity control","Reduced order systems","Steady-state","Contracts"
Journal_Title
IEEE Transactions on Automatic Control
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1975.1100852
Filename
1100852
Link To Document