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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.

Background. In modern realities, the issue of import substitution and modernization of existing domestic equipment and control systems in all branches of production and industry of the Russian Federation is becoming more acute. The purpose of this work is to find ways to modernize and improve the automated control system of paper production on the example of the current paper-making machine of the Penza paper mill of JSC "MAYAK". Materials and methods. The paper uses methods of modern theory of automatic control and automation of technological processes, methods of digital image processing, computer modeling. Results. A computer model of an automated process control system has been created that regulates the weight of a paper web on a paper machine. Conclusions. The considered ways of improving the automated process control system of paper production have proved their viability. The use of an automated process control system with a speed ratio regulator allowed to improve the quality of process control, reducing the effect of time lag on the system.