2518-1092Research result. Information technologies2518-109210.18413/2518-1092-2016-1-3-31-36781SYSTEM ANALYSIS AND PROCESSING OF KNOWLEDGECALCULATION OF TRANSIENT PROCESSES IN DISTRIBUTED CONTROL SYSTEMSCALCULATION OF TRANSIENT PROCESSES IN DISTRIBUTED CONTROL SYSTEMSDylevskiyAlexander V.DylevskiyAlexander V.nefta@yandex.com20161300

The article covers the problem of calculation of transition processes in distributed control systems for the transfer function of system. The transfer function can be transcendental. The article assumes stability of the control system under study, i.e. the transfer function of the system must be analytic on the imaginary axis and in the right half of the complex plane of the variable. However, the proposed method can be generalized to the case of an unstable control system. To solve the problem, the author applies the frequency characteristics obtained by the transfer function. The article provides the formulas for calculation of the pulse characteristic and also a method of calculation of transition processes in case of any arbitrary input signal. The calculation of transition processes is carried out with the convolution formula and requires determination of the pulse characteristic. The calculation formulas are based on the method of Gauss of numerical integration. The article gives examples of calculation of transient response and corresponding graphics.

The article covers the problem of calculation of transition processes in distributed control systems for the transfer function of system. The transfer function can be transcendental. The article assumes stability of the control system under study, i.e. the transfer function of the system must be analytic on the imaginary axis and in the right half of the complex plane of the variable. However, the proposed method can be generalized to the case of an unstable control system. To solve the problem, the author applies the frequency characteristics obtained by the transfer function. The article provides the formulas for calculation of the pulse characteristic and also a method of calculation of transition processes in case of any arbitrary input signal. The calculation of transition processes is carried out with the convolution formula and requires determination of the pulse characteristic. The calculation formulas are based on the method of Gauss of numerical integration. The article gives examples of calculation of transient response and corresponding graphics.

distributed control systemstransfer functionfrequency characteristictransient processesdistributed control systemstransfer functionfrequency characteristictransient processesСписок литературыDemidovich B.P., Maron I.A. Fundamentals of Calculus Mathematics. M.: Nauka, 1966. 664 p.Dylevskiy A.V., Lozgachev G.I., Malyutina V.S. Synthesis of Finite-dimensional Controllers for Infinite-dimensional Plants. Voronezh: Izdatelsko-poligraficheskij centr Voronezhskogo gosudarstvennogo universiteta, 2012. 298 p.Lavrentiev M.A., Shabat B.V. Methods of the Theory of Functions of the Complex Variable. M.: Nauka, 1987. 688 p.Solodovnikov V.V. About Frequency Conditions of Monotony and an Estimate of the Error in the Determination of the Transition Process according to Frequency Characteristics // Avtomatika i Telemekhanika. Volume 11, Issue 1 (1950): Pp. 11-38.Technical Cybernetics: A Series of Engineering Monographs. The Theory of Automatic Control. Book 1. The Mathematical description, Analysis of Stability and Quality of Automatic Control Systems / Ed. by V.V. Solodovnikov. M.: Mashinostroenie, 1967. 770 p.Curtain R., Zwart H. An introduction to infinite-dimensional linear systems theory. New York: Springer-Verlag, 1995. 697 p.Dugard L., Verriest E.I. Stability and control of time-delay systems. Lecture notes in control and information sciences. London: Springer-Verlag, 1998. 317 p.Dylevskii A.V. Constructing modal control systems for plants with meromorphic transfer function // Journal of Computer and Systems Sciences International. Volume 47, No. 3 (2008): Pp. 346-351.Gu G., Khargonekar P.P., Lee B.E. Approximation on infinitedimensional systems // IEEE Transactions on Automatic Control. Volume 34, No. 6 (1989): Pp. 610-618.Malek-Zavarei M., Jamshidi M. Time delay systems: analysis, optimization and applications. Amsterdam: North-Holland, 1987. 504 p.