SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

# 自动化与信息科学期刊

DOI: 10.1615/J Automat Inf Scien.v37.i7.40
pages 30-39

## Algorithms for Solving the Problem of Optimal Control with Three-point Unseparated Boundary Conditions

Fikret Akhmed Ali Ogly Aliev
Scientific Research Institute of Applied Mathematics of Baku State University, Azerbaijan
Mutallim Mirzaakhmed ogly Mutallimov
Scientific Research Institute of Applied Mathematics of Baku State University, Azerbaijan

### ABSTRACT

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.

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