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
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
DOI :
10.1109/TAC.1975.1100852
