The article considers the problem of dynamic control of a 3-connected manipulator designed for trajectory following in conditions of external dynamic disturbances. To ensure the stability of the system, an adaptive PID controller based on the methods of kinematics and dynamics of a multi-link system is proposed. The analytical conclusions of direct kinematics, the calculation of the Jacobian matrix, and the perturbation compensation algorithm are described in detail. The experimental part is presented in the form of MATLAB modeling, the results of which are illustrated by graphs of motion, error convergence, dependence of link angles and control moments, as well as comparative tables of system characteristics at various levels of disturbances.

Keywords: robotics, manipulator, adaptive PID controller, dynamic control, direct kinematics, Jacobian matrix, perturbation compensation

In this article, an analysis of the main methods for solving the linear cutting problem (LCP) with the criterion of minimizing the number of knife rearrangements is presented. The linear cutting problem in its general form represents an optimization problem that involves placing given types of material (rolls) in such a way as to minimize waste and/or maximize the use of raw materials, taking into account constraints on the number of knives, the width of the master roll, and the required orders. This article discusses a specific case of the problem with an additional condition for minimizing knives' changes and the following approaches for its solution: the exhaustive search method, which ensures finding a global optimal solution but can be extremely inefficient for problems with a large number of orders, as well as random search based on genetic and evolutionary algorithms that model natural selection processes to find good solutions. Pseudocode is provided for various methods of solving the LCP. A comparison is made in terms of algorithmic complexity, controllability of execution time, and accuracy. The random search based on genetic and evolutionary algorithms proved to be more suited for solving the LCP with the minimization of waste and knife rearrangements.

Keywords: paper production planning, linear cutting, exhaustive search, genetic algorithm, waste minimization, knife permutation minimization

Steel hoisting ropes play an important role in metallurgical equipment, ensuring reliability and efficiency of lifting operations. One of the key features of their operation is the high level of contamination typical of metallurgical operations. Metallurgical processes are often accompanied by dust, metal chips and other abrasive particles that can significantly degrade ropes, causing wear and corrosion. To maintain the efficient operation of equipment it is necessary to monitor the condition of hoisting ropes in real time, which makes the task of improving automatic systems for monitoring the condition of ropes urgent. The paper reviews the methods of optical control of defects in hoisting steel ropes, the advantages and limitations of different approaches are considered. The aim of the work is to justify the effectiveness of the authors' developed method of analyzing rope defect images using neural networks in relation to the method based on the discrete Fourier transform. It is revealed that one of the most promising in terms of technical and economic efficiency of inspection methods is the application of vision system with image processing based on convolutional neural network technology, which allows to effectively detect defects in complex and changing operating conditions, such as metallurgical and mining production, where the background of the image may be non-uniform, and the distance between the camera and the rope varies.

Keywords: lifting ropes, vision systems, optical control methods, fast Fourier transform, hidden Markov models, convolutional neural networks

Ensuring high quality indicators of paper products manufactured on modern wide-format paper machines requires the use of systems for precise control of the main parameters: weight of 1 m2, humidity and thickness. The technological complexity of this task is due to the need for simultaneous control of numerous actuators across the width of the paper web. The presented study demonstrates an innovative system for controlling the main parameters of paper quality in the transverse direction, built using neural network technologies. The developed solution ensures high accuracy of parameter control in comparison with traditional control methods, which is confirmed by the results of experimental testing in production conditions.

Keywords: pulp and paper production, paper machine, web width control; neural controller, interconnected control, distributed parameter control object, actuator, control system, paper web

Modern automated process control systems include software complexes for monitoring, dispatching, data processing, and controlling industrial equipment. The correct operation of these systems depends on the predictable and stable deployment of software components, which requires a deterministic approach to configuration management. This paper proposes a mathematical model for software configuration management in APCS, based on difference equations of discrete systems. Numerical modeling was conducted in the Octave environment, confirming the correctness of the proposed model and allowing for the analysis of the impact of control parameters on process dynamics. The obtained results can be used to optimize strategies for automated deployment of software complexes in industrial systems.

Keywords: automated control, software complexes, discrete systems, difference equations, stability, dispatching, monitoring

The article offers examples of simulated processes for creating a digital twin, a monitoring process, and a cargo transportation process. A theory is proposed for calculating a mathematical model based on Petri nets. Models for placing an order and its delivery are proposed, as well as a model of information flows using the example of developing models for the processes of transporting perishable products in a refrigerated container.

Keywords: Business process, modeling, BPMN, IDEF1, DFD, Petri nets, mathematical model, intelligent 3D model

The paper presents the results of calculating reliability indicators and analyzing the fault tolerance of the subsystem for monitoring and controlling steam pressure in the steam curtain of a tubular furnace of a diesel fuel hydrotreating technological unit. The effectiveness of reserving critical elements to improve functional safety is substantiated.

Keywords: reliability, fault tolerance, steam curtain, tubular furnace, hydrotreating, diesel fuel, redundancy, functional safety

The article is devoted to the development of application software for automated colorization of images in palettes of traditional folk crafts. The process of identifying palettes of folk paintings, the algorithm for transferring color solutions to the author's images and the presentation of this algorithm in the code of a computer program in the Python language are considered. The scheme of interaction of the program with the user is explained. The options for the practical application of the created application software in the work of artists, when creating design projects, for preserving cultural heritage and passing it on to new generations are described. The results of the study demonstrate the effectiveness of the automated approach for coloring images, reducing time costs and simplifying the work of designers. The article may be of interest to specialists in the field of computer graphics, designers and researchers of digital technologies in the field of image processing.

Keywords: application software, digital technologies, colorization, color palettes, traditional folk crafts, colorization algorithms, graphic design, python programming, image processing

The article discusses options for solving the problem of slowing down the operating cycle of programmable logic controllers that occurs when implementing complex algorithms. For most modern programmable logic controllers, the operating cycle directly depends on the volume of the user program. The program is executed pseudo-parallel, so the complexity of the algorithm affects the slowdown of the cycle indirectly, through an increase in the code volume. The growth of the program leads to a slowdown in the controller's response to changes in the state of the inputs. In some cases, controller developers provide programmers with options that allow them to disrupt the natural order of the operating cycle, thereby reducing the response time. The advantages and disadvantages of such methods are discussed in detail in this article. As an alternative way to reduce the controller's response time, the possibility of transferring the execution of a part of the algorithm to the operator's touch panel is considered. Modern touch panels, in addition to their main task - implementing the human-machine interface, have many additional functions, including the ability to use macros. The main functionality of macros is given and the possibility of exchanging data between the controller and the panel is demonstrated. This feature is a prerequisite for delegating some of the functions of the panel controller. The limitations and risks that arise when using this approach are discussed in detail, and situations in which it is preferable to use this method are identified.

Keywords: programmable logic controller, operator touch panel, controller operation cycle, distribution of computing resources, macros

The paper presents an intelligent control system for the indirect assessment of fruit damage volume based on the use of a computer vision system and a convolutional neural network (CNN). An algorithm has been developed that analyzes the surface defect area to predict the volume of damaged pulp. The proposed approach includes stages of image acquisition, preprocessing, defect segmentation using a CNN, regression-based damage volume estimation, and decision-making based on fuzzy logic. A mathematical model is described that links the defect area to the damage volume, taking into account the internal spread of rot within the fruit. The presented system enables prompt and objective quality control of fruits, contributing to the optimization of sorting, storage, and processing operations in the food industry and the agro-industrial sector.

Keywords: diversification of management, production diversification, financial and economic purposes of a diversification, technological purposes of ensuring flexibility of production

The article provides an overview of existing technical solutions, considered from the point of view of two approaches: complete replacement of the electrolysis plant with a modern analog; replacement of only the measuring part of the system. Based on the results of a review of existing technical solutions, it was concluded that the purchase and replacement of an entire electrolysis plant or a software measuring part is economically unprofitable, and Berezovskaya GRES can implement its own SEU-20 plant management system using modern Russian-made automation software, but its own development will bring significant economic benefits. due to the lower cost compared to foreign counterparts. Для проектируемой системы управления технологическим процессом выбрано необходимое оборудование. Рассчитано время реакции системы при аварийной ситуации. Разработаны электрическая структурная и функциональная схемы автоматизации электролизной установки СЭУ-20. Разработан интерфейс АРМ оператора и произведено моделирование разработанной программы с отработкой различных ситуаций.

Keywords: electrolysis plant, import substitution, remote control, remote control, PLC programming, APM operator

The article considers a promising technology for non-destructive testing of the dispersed composition of phosphogypsum based on acoustic analysis methods. An analysis of the capabilities of the spectral-timbre approach for assessing the fractional structure of bulk material has been conducted. A relationship between the acoustic response of a particle flow and its dispersibility has been established. The feasibility of integrating the method into technological processes for the processing of technogenic raw materials has been justified. The high efficiency of the proposed approach in automated lines within the construction industry has been demonstrated.

Keywords: phosphogypsum, acoustic methods, spectral analysis, dispersity, Fourier analysis, building materials

The paper considers the solution of an urgent scientific and technical problem of developing a tilt angle sensor designed for automated position measurement of optical and optoelectronic systems. The principle of operation of the tilt angle sensor or inclinometer is to measure the direction of acceleration of gravity in the coordinate system associated with the target object, which allows calculating the angles of deviation of the vertical axis of the object from the ideal position. Capacitive sensors measure the angle of inclination by monitoring changes in capacitance due to external influences and often have a fairly simple design. In this paper, we consider a sensor design that uses a metal ball moving in a dielectric tube with electrodes attached to it. To investigate the possibilities of optimizing the device, a mock-up was developed on which the change in capacitance was analyzed depending on the size of the ball, the diameter of the tube and the shape of the electrodes. An important goal of this study was to determine the optimal diameter of the ball inside the dielectric tube to obtain the most noticeable changes in capacitance. The best results were obtained using a metal ball with a diameter slightly smaller than that of a dielectric tube. To measure the capacitance the "capacity–frequency" conversion can be used, followed by measuring the latter using a microcontroller. The resulting capacitance values are very small, which leads to a significant impact of any connecting wires and requires reducing the distance between the primary converter and the signal processing circuit, which can be achieved using micromechanics and microelectromechanics technologies and integrating the entire sensor design into one miniature housing. At the same time, with a decrease in the size of the elements of the primary converter, the value of the detected capacitance will obviously decrease, which will significantly complicate its conversion into an electrical signal.

Keywords: tilt angle, electronic sensor, inclinometer, position control, capacity change, primary converter, auto generator, miniaturization

The transition from scheduled maintenance and repair of equipment to maintenance based on its actual technical state requires the use of new methods of data analysis based on machine learning. Modern data collection systems such as robotic unmanned complexes allow generating large volumes of graphic data in various spectra. The increase in data volume leads to the task of automating their processing and analysis to identify defects in high-voltage equipment. This article analyzes the features of using computer vision algorithms for images of high-voltage equipment of power plants and substations in the infrared spectrum and presents a method for their analysis, which can be used to create intelligent decision support systems in the field of technical diagnostics of equipment. The proposed method uses both deterministic algorithms and machine learning. Classical computer vision algorithms are applied for preliminary data processing in order to highlight significant features, and models based on unsupervised machine learning are applied to recognize graphic images of equipment in a feature space optimized for information space. Image segmentation using a spatial clustering algorithm based on the density distribution of values ​​taking into account outliers allows detecting and grouping image fragments with statistically close distributions of line orientations. Such fragments characterize certain structural elements of the equipment. The article describes an algorithm that implements the proposed method using the example of solving the problem of detecting defects in current transformers, and presents a visualization of its intermediate steps.

Keywords: diversification of management, production diversification, financial and economic purposes of a diversification, technological purposes of ensuring flexibility of production

An optimization model has been developed for the minimum required number of employees carrying out transport security measures included in transport security units, taking into account the algorithm for distributing employees, including various groups according to individual functions performed at different security levels, as well as the likelihood of various threats to transport security.

Keywords: transport strategy, digitalization of transport security, cost optimization, transport security units, requirements for ensuring transport security

The paper discusses the use of the M/M/n mass service model to analyze the performance of cloud storage systems. Simulations are performed to identify the impact of system parameters on average latency, blocking probability, and throughput. The results demonstrate how optimizing the number of servers and service intensity can improve system performance and minimize latency. The relevance of the study is due to the need to improve the performance of cloud solutions in the context of growing data volumes and increasing load on storage systems.

Keywords: cloud storage, mass service theory, M/M/n model, Python, modeling, performance analysis

The article considers a robotic control system for implementing the S-shaped movement of a snake robot, and evaluates the specifics of its use on a physical prototype. Since the snake robot is a complex composite structure, the assessment and assignment of a certain type of movement becomes one of the primary tasks in the development of this control system. The simulation model of the snake robot is implemented using mathematical modeling in the Russian software REPEAT. As a result of the simulation, it was found that the developed control system ensures the operability of the robotic system, ensures the accuracy of movement and adaptability to changing external conditions.

Keywords: mathematical modeling, simulation model, REPEAT, snake robot, wave motion control system, torque variation

within the framework of the conducted research, the task of controlling a robot of a parallel structure was considered. This paper presents a model of a 3-RPR type flat parallel robot in the Matlab package, developed for conducting computational experiments. Implementation of two types motion trajectories have been simulated in order to determine the optimal structure of the position regulators of the drive joint used in the robot control system. Six structure of regulators were compared: three classical ones: PD, PID, PDD and three of their fractional-degree analogues: FOPD, FOPID, FOPDD. The FOMCON tool was used to model fractional-degree regulators. The best results for type 3-PPR robot were shown by a control system with a FOPID regulator, which indicates the expediency of using fractional-degree regulators to control parallel robots.

Keywords: parallel robot, inverse kinematics problem, 3-RPR robot, computational experiment, working out the trajectory of movement, control system accuracy, fractional-degree regulator, parametric optimization of the regulator, comparative modeling, FOMCON tool

Digital twin technology shows significant potential in transforming various industries by enabling the modeling, analysis, and optimization of complex systems in real time. The integration of digital twin with the Industrial Internet of Things has opened up new opportunities for innovation and efficiency. In this regard, this article describes the methods and technologies that can be used to develop digital twins in Industrial Internet of Things applications and systems. Special attention is paid to such methods as: multiphysics and multiscale modeling, system life cycle method, data-driven modeling. Some technologies and architectures that can be used at three levels of creating a digital twin for Industrial Internet of Things systems are also described.

Keywords: digital twin, model, system, data, architecture, Industrial Internet of Things, communication, network, analysis, sensors

Currently, rechargeable batteries are widely used in various fields of technology. They are created by connecting batteries in parallel into blocks, and then sequentially connecting blocks into batteries. The batteries produced by the industry have a technological variation of parameters and the connection of batteries into blocks should not be made randomly, but taking into account their individual parameters. The article discusses the creation of a hardware and software complex based on an industrial robot arm designed to extract batteries from an array of batteries with known parameters and install them in cells of an assembly cassette in a sequence that takes into account the individual parameters of the batteries. Both the hardware and the software part of the battery transfer complex are being considered. The adjustment of the manipulator to the possible displacement of the batteries in the storage area and the assembly cassette is carried out through the use of technical vision.

Keywords: hardware and software complex, industrial robot, adaptive manipulator, battery, algorithm

This article is devoted to the issues of implementation of automated control system of regional electric networks based on intelligent technologies. The significance of the issue under consideration is expressed in the fact that along with the development of technologies and their active use, electric loads in networks where large losses of electric power occur are increasing. Some issues of increasing the efficiency of production and consumption of energy resources at the regional level are considered. The main elements of the system approach to the analysis of the automated process control system of the regional energy system (APCS RES) are described. An example of the design and implementation of a pilot project for the introduction of intelligent technologies in the electrical networks of the Chechen Republic, in particular in the electrical networks of the city of Argun, is given. The most significant entities of the regional electric power industry are considered, which determine the process of functioning of the automated process control system of the power grid, as well as those that have or are capable of having an impact on the structure and process of functioning of the automated process control system of the power grid, where the degree of influence, situations and moments of influence for all the entities given are absolutely different. The conducted methodology of forming entities represents their dependence on each other to varying degrees.

Keywords: electricity metering, electrical network, intelligent technologies, automated process control system, regional energy system, electricity tariff

This study examines the control of the cooling fan speed as an effective means of reducing emissions of volatile organic compounds during three-dimensional layer-by-layer printing. The high extrusion temperatures used in modern high-speed printers lead to emissions of harmful volatile organic compounds, which poses health risks in poorly ventilated rooms. A mathematical model has been developed to establish a quadratic relationship between the fan speed and the volumetric air flow, which directly affects the deposition of volatile organic compounds on the melt surface. The experimental setup uses relay control of the motor current and proportional-integral-differentiating speed control, ensuring rapid stabilization of the air flow with minimal overshoot. From the analysis of transient characteristics, including motor current, fan speed, airflow velocity, and power consumption, it is shown that precise control of fan speed creates stable and predictable airflow movement, significantly reducing emissions of volatile organic compounds. In addition, the results show that integrating the feedback of the volatile organic compounds sensor in real time with the control of the extrusion rate can offer an even more adaptive and effective strategy for reducing emissions. This research lays the foundation for safer and more efficient 3D printing processes with layer-by-layer deposition modeling through improved temperature and emission management.

Keywords: volatile organic compounds, three-dimensional printing, adaptive control, layer-by-layer deposition, regulation

The article introduces a methodology for verifying BIM models of capital construction facilities. This approach focuses on dynamic assessment of intersection collision weights, combining geometric analysis, statistical methods, and adaptive metric weighting. Key metrics considered include granularity, geometry errors, tessellation complexity, and fill factor. The proposed methodology utilizes Python implementation with IfcOpenShell, leveraging a multithreaded architecture to significantly reduce data processing time. Testing on 20 multidisciplinary models highlights critical problematic elements such as walls, beams, and air ducts. The results demonstrate that adaptive weight distribution effectively identifies and prioritizes potential errors, improving the accuracy and reliability of BIM models. The study's findings are crucial for enhancing design and construction processes. By accurately assessing and mitigating errors, the methodology reduces project delays, cost overruns, and safety risks. It also promotes better coordination among project stakeholders, streamlining workflows and improving project outcomes. In conclusion, the proposed methodology is a valuable tool for verifying BIM models, ensuring the integrity and quality of capital construction projects. Its application can lead to more efficient, cost-effective, and reliable construction processes, benefiting both developers and end-users.

Keywords: TIM, collisions, verification, dynamic weights, adaptive metrics, algorithms, IfcOpenShell, python, standard deviation

The article develops calibration methods to improve accuracy and reduce operating costs of robotic systems in warehouse logistics. Special attention is given to the use of laser sensors and offset parameters, enabling the robot's position to adapt to changing conditions. The methodology includes the stages of initialization, orientation, and final verification, which help minimize deviations and reduce the need for manual adjustments. This approach ensures consistent operational accuracy and lowers operating costs through automated and adaptive robot calibration settings.

Keywords: robot calibration, warehouse automation, laser sensor, offset, positioning accuracy, robotic system, adaptive calibration, automatic calibration, collaborative robot, cobot

The article discusses approaches to the systematic analysis of historical data collected from water treatment facilities. By using tools from mathematical statistics, machine learning methods, and visual analysis techniques, the article proposes a formalized approach to assessing the efficiency of water treatment equipment. This approach makes it possible to identify hidden patterns in the data, build robust models of interdependencies, and develop recommendations for optimizing the technological process.

Keywords: water treatment, telemetry data, time series analysis, machine learning, equipment efficiency