For linear high-order plants (n l 4), analytical (exact) control algorithms in the form of feedback that are optimal in terms of the rapid response criterion are practically unknown, and for them the problem of synthesizing approximately rapid response control laws remains relevant. In this part of the work, an approach to the synthesis of rapid response highorder systems is developed, proposed in its first part, using the idea of transforming the original rapid response problem to a similar problem of controlling objects described by models of the first or second order, for which the optimal control algorithms in terms of rapid response are known. These algorithms underlie the investigated approach to the synthesis of rapid response control systems, which involves finding special functions that describe the relationship between the phase coordinates of models of a low-order object (by analogy with the works of A. A. Kolesnikov, they are called aggregated or macro-variables) with the phase coordinates of the original high-order object as well as the calculation of the parameters of the low-order models used, which in a certain sense ensure their adequacy to the original object and, accordingly, the rapid response of the synthesized systems. In this part of the work, in contrast to its first part, the synthesis uses two models of an object, not of the first, but of the second order, which are characterized by conditional and approximate adequacy in relation to the original model of a high-order object. In the case of conditional adequacy, the parameters of the low-order model are found exactly using the eigenvalues and vectors of the original object, and with approximate adequacy, using the least squares method. On the basis of these two second-order models, two methods for the synthesis of quasi-optimal controllers are developed, which differ in the use of nonlinear feedbacks that provide an increased rapid response of the designed control system that is sufficiently close to the limiting values. In particular, by the example of modeling, it is shown that Accordingly, the main content of the work is devoted to the results of a comparative analysis of the properties of these rapid response controllers, as well as the analysis of the features and conditions of applicability of the proposed synthesis methods

The paper proposes a new method for estimating the parameters of an unbiased sinusoidal signal with the exponentially damping amplitude: frequency, damping coefficient. A sinusoidal signal with exponentially damping amplitude is an important class that can be observed in a wide range of natural phenomena, such as the propagation of acoustic waves, and can also characterize the behavior of artificial systems, arising, for example, as a result of complex interactions between the components of power systems, therefore the task of estimating parameters is sinusoidal. signal with exponentially decaying amplitude is relevant at the present time. It is assumed that the phase, frequency, damping factor and amplitude of a sinusoidal signal with exponentially decaying amplitude are unknown functions of time. In the present work, a new method is proposed for parameterizing a sinusoidal signal with exponentially decaying amplitude. First, a sinusoidal signal with exponentially decaying amplitude is presented as the output of a linear generator, the parameters of the decaying sinusoidal signal (amplitude, phase, damping factor and frequency) are unknown. Then the Jordan form of the matrix and the delay are applied to transform the measured signal, then a linear regression model is obtained, which depends on the frequency and the attenuation coefficient. At the last stage, unknown parameters (frequency, attenuation coefficient) are calculated from the obtained linear regression model. Numerical modeling demonstrates the effectiveness of the proposed methodology.

The possibility of using measuring information on the power consumption (watt-metrogram) by the electric motor of a sucker rod pumping unit for diagnosing the technical condition of oil well equipment is considered. It is shown that one of the possible ways in this case can be the application of Noise technology to the processing of wattmetrogram signals.A technology is proposed for forming a set of combinations of reference and current informative attributes from the estimates of the normalized correlation functions of the useful signal of a wattmeter card; it is shown that they are equivalent to informative attributes of a dynamometer card received from a force transducer installed on the hanger of a sucker rod pumping unit. It is also shown that they equally reflect the technical condition of the well, due to which the informative attribute of the wattmeter card can be used to solve the problems of control, identification and management the oil production process with a sucker rod pumping unit. Variants of decreasing the error in the results of correlation analysis of the watt-metrogram and a variant of using the normalized correlation functions of the useful signal of the watt-metrogram for solving problems of identifying the technical state of the equipment of sucker rod pumping stations are proposed. To increase the effectiveness of monitoring systems, it is proposed to duplicate the system diagnostic function using the spectral technology for the control of the onset and dynamics of development of faults. The features of implementation in the fields are given. Possible options for using the normalized correlation functions of the useful signal of the wattmetrogram for solving the problems of identifying the technical state of wells during its operation are considered. A simplified structural diagram of the remote monitoring and control system of the sucker rod pumping unit based on the wattmetrogram signals, which has been introduced at the wells of the oil production department "Bibiheybatneft" in Azerbaijan, is presented. It is shown that the algorithms and technologies for analyzing the interference of wattmetrograms proposed in the work, in principle, can be widely used in many areas of the economy where electric motors are used.

The control of an inverted pendulum is a classical benchmark control problem. Its dynamics resemble that of many real-world systems of interest like pendulous, missile launchers, segways, and many more. The control of this system is challenging as it is a highly unstable, highly non-linear, non-minimum phase system, and underactuated. Furthermore, the physical constraints on the track position also pose complexity in its control design. A great deal of nonlinearity is present inherently and as well as affected by the surrounding external disturbances. The paper presents an approach for analysis of a cart-inverted pendulum system with harmonic disturbances. The approach is based on the index of the criterion matrix of the system named a degeneration factor. The degeneration factor is constructed with the singular values of the criterion matrix of the system and allows us to find frequency range, where the system operates as a whole. A linear-quadratic regulator is used to control the cart-inverted pendulum system. The results are supported with an example.

The necessity of psychophysiological selection of a motor vehicle driver is substantiated. Among the types of professional selection, psychophysiological selection has a special place due to the fact that psychophysiological studies make it possible to quickly and objectively measure a large number of psychophysiological properties. Psychophysiological characteristics of a person can be a quantitative measure of professionally important qualities, and have a sufficiently high prognostic value for occupations related to "man—machine" systems. The necessity of using non-invasive measuring devices to determine the degree of reliability of a motor vehicle driver is justified. Analysis of the statistics of road accidents gives reason to believe that the biggest number of accidents is observed on road sections where the drivers experience biggest tense anxiety and mental stress. This confirms that the reliability of the driver’s work is consistent with one of the main laws of psychophysiology: the outcome of the work correlates with mental stress. According to this pattern, there is optimal level of emotional tension of a person, at which he or she performs the work with the greatest efficiency. Exceeding this optimal level, as well as reducing it, is accompanied by deterioration in performance. In psychophysiological studies, the assessment criteria of the impact of various road conditions on the driver are the values of psychophysiological indicators corresponding to the optimal level of emotional stress. Based on this, one can determine the degree of reliability of the driver’s actions. When conducting an experiment to determine the psychophysiological characteristics of the driver, the use of non-invasive measuring devices makes it possible to assess the degree of reliability of the driver. The review of measuring devices for psychophysiological measurements of noninvasive form is given. The article also describes the most popular measuring methods, such as electroencephalography, electrocardiography, electromyography, eye tracking. The principle of operation of each non-invasive measuring methods is considered in detail, the advantages and disadvantages of each method are described. It is proposed to synchronize the measuring devices and use them comprehensively regarding the functional power of universal computing tools for a more accurate assessment of the psychophysiological condition of the driver of the vehicle.

There are many different families of periodic orbits in the Earth-Moon system, such as Lyapunov orbits, halo orbits, vertical orbits, etc. The establishment of a lunar space station requires a spacecraft to be able to transfer among these orbits. Lyapunov orbits have been used by some missions and are well-studied orbits, while periodic vertical orbits can provide large amplitudes of spacecraft motion outside the plane of the Moon’s motion, which makes it possible to avoid shadowing of the orbits and use them as relay satellite in cislunar space. Modern researchers mainly consider the use of high-thrust engines for transfer. With the development of electric propulsion technology, the use of low, but long-acting thrust for deep space exploration has become especially relevant. This is due to the high specific characteristics of the propulsion systems of this type. In this article, an algorithm has been developed for determining the optimal control with a low-thrust engine for a transfer from Lyapunov orbit to a vertical orbit. The minimum time of flight or the minimum costs of the working body are used as criteria for optimality. In the calculation for solving the two-point boundary value problem of the optimal control theory, the parameter continuation algorithm is used, which allows to gradually get the transfer from some simple results to the final transfer trajectory. The results obtained make it possible to assert that the use of intermediate axial orbits allows the use of propulsion systems with lower thrust levels. In this case, the duration of the flight increases slightly with an almost unchanged consumption of the working body. Moreover, the homotopy method makes it possible to reduce the consumption of working body, while the control of the engine throttling becomes discrete. The results of this study and the algorithms proposed in this article can be used to determine the optimal program control and ballistic design of lunar missions.