Synthesis of time-optimal control problem with delay
- 1 February 1969
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 14 (1) , 99-100
- https://doi.org/10.1109/tac.1969.1099104
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
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