Title :
Elimination of the Two-Point Boundary-Value Problems in the Optimal Control of a Second-Order System
Author :
Lees, Leonard H.
Author_Institution :
Department of Electrical Engineering, University of Witwatersrand, Johannesburg, South Africa.
Abstract :
The two-point boundary-value problem associated with Pontryagin´s maximum principle, when optimization is performed to minimize a quadratic cost function, is eliminated. It is replaced by two equations of known variables consisting of the system parameters, the optimizing period, and the weighting factors of the cost function.
Keywords :
Cost function; Dynamic programming; Eigenvalues and eigenfunctions; Helium; Laplace equations; Matrices; Optimal control; Optimization methods; Riccati equations; Stability;
Journal_Title :
Industrial Electronics and Control Instrumentation, IEEE Transactions on
DOI :
10.1109/TIECI.1972.351115
