On optimal terminal control
- 1 October 1969
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 14 (5) , 443-448
- https://doi.org/10.1109/tac.1969.1099284
Abstract
This paper is concerned with the behavior, near the terminal time, of a fixed time fixed endpoint linear optimal control problem. The optimal control is represented in feedback form by a time-varying gain matrix operating on the present state of the system. The gain matrix is shown to have a pole at the final time. Furthermore, the limiting behavior of the gain matrix is shown to be independent of most of the parameters of the system and to depend solely on the orders of the matrices involved. Thus, the terminal behavior for this entire class of systems is identical to the behavior of a single limiting system.Keywords
This publication has 4 references indexed in Scilit:
- On Final Value ControlInternational Journal of Control, 1968
- Two-Point Boundary Value Problems of Linear Hamiltonian SystemsSIAM Journal on Applied Mathematics, 1967
- Transformation of time-variable systems to canonical (phase-variable) formIEEE Transactions on Automatic Control, 1966
- The sensitivity of terminal conditions of optimal control systems to parameter variationsIEEE Transactions on Automatic Control, 1965