ABSTRAKT

We consider linearly-quadratic problems of optimal control with three-point useparated boundary conditions. It was shown that in contrast to the problem of optimization with two-point boundary conditions in this case optimal control has jump at the mentioned internal point. We suggested the numerical method of solving the problem of optimal control by means of solving of the corresponding system of the Euler−Lagrange equations. Similar problem was considered when computer was included into control loop. Results were illustrated by examples for control of sucker-rod pump setup on oil and gas production.