The paper describes a multifactorial nonlinear regression model of revenue dynamics of the mining and metallurgical company Severstal, based on retrospective information for 2009-2021. Production volumes by type were used as independent variables: hot-rolled and cold-rolled sheet, galvanized sheet and sheet with other metal coating, rolled products, large diameter pipes, other pipe products and profiles. The criteria of multiple definition and Fisher, as well as the average absolute approximation error, were used as criteria for the adequacy of the model. A model competition was held to select the best regression dependence. As a result, a model is constructed containing inverse transformations of two independent variables in the right part.

Keywords: regression model, least squares method, adequacy criteria, mining and metallurgical company, revenue, model competition

The paper presents a method for decomposition of a complex dynamic system with a network architecture based on the Crohn's diakoptic approach. The proposed method is aimed at the allocation of independent network segments, the removal of which from the general structure will not affect the overall performance of the system. Segments are formed as simple paths in the graph model of the system with the least weight of the incident edges and checking the condition for maintaining the product flow balance in the application to the transport task. In general, the decomposition method presented allows us to divide a complex technical object of the network architecture into subsystems, simplifying the process of analysis and management. In the case when the common control task and the dynamics of interaction of subsystems allow the system to be broken up into unconnected segments, or to limit interaction over certain lines, the method allows reducing the load on the transmitting elements of the system.

Keywords: decomposition, complex dynamic system, network, grapho-analytical method, network segmentation, diakoptics, load reduction

In the article, the method of designing the path planning on the basis of an unstable mode is described. This method is based on the bionic approach and does not require mapping, it reduces requirements for the sensor subsystem. In this article, we propose a method of obstacle avoidance in which an unstable mode is realized in a separate dynamic link. The output of the dynamic link corrects the desired course of unmanned surface vehicle (USV). This allows to set the unstable trajectory of motion only at the planning level, and at the regulatory level to function in a stable mode. In addition, this approach allows you to plan the direction of detour travel. Detailed description of the proposed path planner, as well as the results of the research in Matlab are provided in the article.

Keywords: Control system, unstable mode, path planner, unmanned boat, obstacle avoidance

This paper presents an approach to organize the group control underwater vehicles based on multi-loop adaptation algorithm of position-trajectory control system of moving object, with the estimating unmeasured parameters, reference model and contour that ensure astatism 2nd order. Estimation of unmeasured disturbances on the top control level as part of the reference model, which allows for highly accurate positioning of the final master AUV in the target point specified as a parameter to the reference model. The application of the developed algorithm expedient in control systems of moving objects group, where a single object from the leading group, and its parameters are used as the parameters of the reference model. The leading mobile object control system uses an adaptive control system with disturbance estimation. The control systems of the slave moving objects using positional-trajectory control system astatism second order, thereby providing high-precision tracking of the movement of the reference mobile object.

Keywords: group control, AUV, adaptive control, reference model, position, trajectory control, estimator, parameter estimation, the mobile object

For basic research flame ionization process is necessary to obtain the true value of the ion current on the probe, taking into account the errors of the measuring circuits. To study the processes of ionization in the combustion cameo widespread ionic current sensors in the presence of the resistive component of the measurement circuit, such as current-limiting elements in the circuits connecting to the ignition coil high-voltage output or measuring shunt. This article describes how to account instrumental errors introduced by such measuring systems, as well as the proposed formula of the transition from the signal values ​​obtained experimentally to the true value of the ion current. The results of the calculation of the reduced value of the ion current to the experimentally obtained signal. The possibility of making instrumental error of up to 40% in amplitude at signal peaks. It is shown that the construction of I-V characteristics of the ionization probe must be considered instrumental error introduced by the resistive components of the measuring circuit.

Keywords: ion current, the electrical conductivity of the flame, the measuring circuit, the instrumental error of measurement, resistive voltage divider, ICE

This paper presents an adaptive algorithm for position-trajectory control with reference model and estimation of nonlinear circuit unmeasured disturbances. The introduction of a robust observer derivatives in the base controller position-trajectory control, built on the principles of self-adjusting adaptive systems with a reference model, allows to estimate unmeasured disturbance characterized by non-linearity of the second order and higher, and to adapt the parameters of the system in order to reduce or minimize the zero mismatch errors between the control object and reference model. The use of derivatives allows the observer to increase the overall stability of the control system, otherwise, the system loses its stability in short-term effect of the disturbance on the control of high-order object.

Keywords: adaptive management, reference model, positional-trajectory control, observer, parameter estimation, the movable object, AUV

This paper presents an overview of modern adaptive control systems for vehicle. It shows simulation results of vehicle flight with using the adaptation algorithm for position-control system, with estimation loop of additional disturbances, and with the reference mathematical model and astatism. The simulation results for two cases (for given constant coefficients of adapting and using the automatic settings adjustment coefficients) are presented.

Keywords: adaptive control, helicopter, position-trajectory control, observer, estimation, vehicle, flight,simulation

In the article the method of dynamic repeller formation in case of drone movement control is offered for use in the three-dimensional environments with obstacles. Erle-HexaCopter is considered as drone in this article. Article contains the short description of a hexacopter mathematical model and positional-trajectory control movement algorithms. The method is based on representation obtacles as dynamic repeller is offered. Dynamic repellers are formed depending on the distance from the drone to the obstacle in the movement process. This method is analyzed and simulated in Matlab. Cases with one or several stationar obtacles are considered in simulation. In conclusion, we formulated the revealed features of this method

Keywords: Hexacopter, unformalized environment, 3D, round of obstacles, movement control, repeller, drone

In the article the question of the distribution of the load factor of a synchronous generator, which determines the percentage of the PTO on the particular consumer generator. When transporting the electricity consumers on several lines from different energy sources, there is a problem of rational distribution of power level that the consumer will take from each of the sources. This paper proposes a method of allocation, which aims to minimize power losses in power lines. Disabled distribution law SG load factor, which takes into account line losses and possible limitations on the level of generated power generators.

Keywords: the load factor, synchronous generator, control system, smart grid, power distribution.

The article discusses the the problem of controlling a synchronous generator, namely, maintaining the stability of the control object in the conditions of occurrence of noise and disturbances in the regulatory process. The model of a synchronous generator is represented by a system of differential equations of Park-Gorev, where state variables are computed relative to synchronously rotating d, q-axis. Management of synchronous generator is proposed to organize on the basis of the position-path control using algorithms to adapt with the reference model. Basic control law directed on the stabilizing indicators the frequency generated by the current and the required power level, which is achieved by controlling the mechanical torque on the shaft of the turbine and the value of the excitation voltage of the synchronous generator. Modification of the classic adaptation algorithm using the reference model, allowing to minimize the error of the reference regulation and the model under investigation within the prescribed limits, produced by means of the introduction of additional variables controller adaptation in the model. Сarried out the mathematical modeling of control provided influence on the studied model of continuous nonlinear and unmeasured the disturbance. Simulation results confirm the high level accuracy of tracking and adaptation investigated model with respect to the reference, and the present value of the loop error depends on parameters performance of regulator.

Keywords: position-path control, adaptation algorithms, reference model, synchronous generator

The paper considers the algorithms of position-trajectory control of mobile objects, are automatically distributed control forces and moments on the actuator. The basic control law is based on the equations of kinematics and dynamics and method of position-trajectory control of mobile objects. We consider the distribution of control forces and moments on the basis of pseudo-inverse matrix, which provides minimum MSE. This approach does not provide for preliminary separation of control channels, as is customary in classical systems of mobile objects. The proposed method is applied to the control system of aeronautical complex. The cases of excessive and insufficient number of control channels. The results of the simulation.

Keywords: position-trajectory control, a multiply, actuators, mobile object

Recently becoming urgent problem of managing distributed processes of production, transmission and consumption of energy. This fact is associated with the emergence of a significant number of generators and the possibility of a primary control on all elements of the grid. In this connection, in proposed three-level distributed power grid management, which includes the upper level of segmentation networks, distributed control average frequency and power level and a lower primary control. The methods of control for each of the above levels, the results of simulation.

Keywords: smart grid management system, distributed control, frequency control and power.

From the point of view of development of control systems, a significant disadvantage of indirect adaptive control systems of moving objects is the fact that the limiting the properties of such system are determined by the basic adaptive regulator. In other words, to solve the problem of adaptive control it is required to find a non-adaptive regulator, which solves the problem of marine autonomous vehicles. In this case, the adaptive controller replaces many controllers that solve the control of multiple objects in a non-adaptive domain. The paper presents method of direct adaptive control for marine autonomous vehicles. Nonlinear mathematical models are considered. The method is based on position-trajectory control approach. It is proved the designed by suggested method controller is a vector nonlinear PI-regulator. The regulator ensures asymptotical stability of the closed-loop control system.

Keywords: adaptive control, marine autonomous vehicles, position, trajectory

This article investigated the possibility of creating a new composite material for electrical products based on natural graphite as the main component with the addition of a plasticizer . Adding plasticizer necessary to solve technological difficulties pressing process products with a high content of natural graphite . This is due to large shear between the interphase graphite flakes . As the plasticizer used polyvinylacetate . The paper presents the technological aspects of production material and study the influence of the plasticizer on the composition, both qualitative and quantitative . Conclusions about the most appropriate ratio to the amount of graphite esmestvennogo adds plasticizer.

Keywords: Еlectrotechnical products, softener for graphite, composite material, copper-graphite composition, tokosjemny material, current collecting Box, рolyvinylacetate, modification of the surface of graphite.

Based solutions of avalanche transit diode amplifier for under the influence of microwave amplitude- modulated optical signal at the p-n junction diode is determined by the response of the amplifier , while a detector device characteristic. We investigate the influence of numerous system parameters on product detection.

Keywords: frequency response; avalanche diode; amplifier; detector; Microwave amplitude modulated optical vibration .