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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2017 Issue 8, Pages 145–163 (Mi at14467)

This article is cited in 1 paper

Optimization, System Analysis, and Operations Research

JPEG-like method of control parametrization for numerical solution of the distributed optimization problems

A. V. Chernovab

a Lobachevsky Nizhny Novgorod State University, Nizhny Novgorod, Russia
b Alekseev Nizhny Novgorod State Technical University, Nizhny Novgorod, Russia

Abstract: The present author continued his work on the study of the control parametrization technique for solution of the distributed optimization problems. Proposed was a new method of control parametrization resembling that for information compression used in the JPEG format to reduce by the factor of several times the count of parameters describing the control without an appreciable deterioration in closeness to the optimum. Withdrawn were formulas required for application of the proposed approach to control parametrization in combination with the numerical methods of finite-dimensional optimization for solution of the mathematical programming problem approximating the original optimal control problem. The results of numerical experiments were described and analyzed in detail.

Keywords: optimization of the distributed-parameter systems, functional differentiation, piecewise constant approximation of control, JPEG-like method of control parametrization.

Presented by the member of Editorial Board: P. V. Pakshin

Received: 22.05.2016


 English version:
Automation and Remote Control, 2017, 78:8, 1474–1488

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