Abstract

The paper describes the stages of paper production, considers the structure of a paper-making machine. Questions related to the proof and use of the Pontryagin’s maximum principle in the theory of optimal control are considered. Optimal paper web weight control system based on the Pontryagin’s maximum principle is presented. Adaptive learning methods for modeling nonlinear systems represent some of the latest advances in adaptive algorithms and machine learning techniques designed to model and identify nonlinear systems. Real-world problems always involve a certain degree of non-linearity, which makes linear models a suboptimal choice. This article may be of interest to research engineers and practitioners in the study and application of control systems using adaptive regulators. This book serves as an essential resource for researchers, graduate students and doctoral students working in the field of machine learning, signal processing, adaptive filtering, nonlinear control, system identification, cooperative systems, and computational intelligence. This book may also be of interest to the industry market and practitioners working with a wide range of nonlinear systems.

Highlights

  • The basis of the concept of investing in paper production at the level of small and medium-sized businesses are the following factors: The papermaking market in Russia is growing steadily, adding on average 6% annually. This positive dynamics is caused by the fact that Russian business has become more competitive in the international paper market due to the factor of reducing overall costs

  • The growth of the market is facilitated by an increase in demand for high-quality paper products from the corporate sector and private clients in Russia itself

  • Since only the first derivatives are used in the maximum principle formulated by Pontryagin, we introduce the notation: yy1 = yy, equation (1) takes the form: dddd yy2 = dddd

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Summary

Introduction

Modern production is characterized by the complexity and high speed of technological processes, which is why complex automation takes an important place in industrial production [1,2]. The basis of the concept of investing in paper production at the level of small and medium-sized businesses are the following factors: The papermaking market in Russia is growing steadily, adding on average 6% annually. This positive dynamics is caused by the fact that Russian business has become more competitive in the international paper market due to the factor of reducing overall costs. It should be added that, despite the widespread computerization of the economy, the demand for paper products is growing steadily This is primarily caused by the fact that the use of paper is gaining new uses, both in commerce and in everyday life. The most acute issue is the rational use of raw materials by enterprises in this industry

Paper making process
Optimal control
Full Text
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