PROBLEMS AND DEVELOP MENT PROSPECT AUTOMATED CONTROL SYSTEM PURPOSE
Authors:   Odesa Military Academy, Odesa, Ukraine, Semchak O.M. , Bogdanova O.G. ,   Odesa Military Academy, Odesa, Ukraine
Published: October 2024

The justification of the need to improve the automated control process in the system of automatic targeting testing is presented. The modern Armed Forces of Ukraine use means of automation at all levels of command of the troops and managing the means of defeat. In parallel with the automation of the management process at all levels, the shadows of recent years indicate a shift of attention towards the lower management levels. The command systems at these levels collect, process and analyse information necessary to optimize the management of the actual combat assets. The specific fire task to combat crew, its transfer and delivery to the contractor is an important point in the process of such control. A central part of the task statement is targeting i.e. a brief, clear and understandable message about the location of the target and other information about it. The guaranteed transmission of target instruction from any level of control to the means of destruction is one of the directions of development and improvement of automated control systems for military purposes. The automated method for achieving the target-setting provides a minimum time for setting the firing task and carrying it out. However, in order for it to be revived, information on the full identification of targets at the different levels of control and sufficiently accurate information on the location of its forces and assets is necessary. In many cases, the dynamic properties of such control systems are described by high-order differential equations. The implementation of optimal speed in such cases faces a number of technical difficulties related to the need to calculate and implement the number of intervals of control action.The number of intervals is equal to the order of the differential equation of the system. In this case, it is advisable to move to a quasi-optimal control with the number of controls switching equal to three. Reducing the number of switches will not only simplify the functions of the microprocessor in such a control system, but also increase its reliability. Optimum system theory illuminates the way forward and points to unused reserves of existing automatic control systems. The development of mathematical theory is largely determined by the development of methods of synthesis of optimal systems. Bellman R. and Feldbaum O. first formulated and proved the theorem of n intervals or n switching by control systems. According to the n interval theorem, the number of switches can be reduced by replacing the n-order control system with an equivalent lower-order system. According to the hypothesis of Academician A.Y. Ishlinsky, a third-order system can be found for any n-order system. The paper presents a numerical experiment confirming the hypothesis of Academician A.Y. Ishlinsky about the possibility of presenting a high-order system equivalent to a third-order system. The problem of identifying the dynamics of technological processes is solved by acceleration curves. The use of direct numerical methods is limited in some cases by the inability to implement the input of the required form. In this case, object identification is carried out by a conventional differential equation of order 4. A type of differential equation of order 3 is also known. The values of the parameters at which the solutions of the differential equations of order 4 and order 3 are most closely related are found. To solve the problem, the Nelder-Mead method is used. The solution of the original differential equation is proposed to be found by the Runge-Kutt-Merson method. The obtained results make it possible to simplify the process of object management in the systems of automatic targeting testing. The numerical experiments carried out confirmed the conjecture of Academician A.Y. Ishlinsky that the n-order system can be represented by an equivalent system of order 3. Thus, to reduce the time required to collect, process and analyze information necessary for the management of combat assets.