Title :
Synthesis of time-optimal control problem with delay
Author :
Wells, William ; Kashiwagi, Y.
Author_Institution :
University of Cincinati, Cincinati, OH, USA
fDate :
2/1/1969 12:00:00 AM
Abstract :
The synthesis of the time-optimal control function for a second-order linear system with a constant time delay in the position variable has been accomplished. The maximum principle of Pontryagin for systems with delay was used in the synthesis. Expressions for the control function, trajectory, and limit cycle are presented as well as a switching curve for the system which was constructed numerically.
Keywords :
Delay systems; Time-optimal control; Control system synthesis; Control systems; Delay effects; Distributed parameter systems; Equations; Limit-cycles; Linear matrix inequalities; Optimal control; Shape control; Switches;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1969.1099104