Матеріали конференцій
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Документ Automatic control of linear dynamic distributed systems(2017) Lobok, Alexey; Goncharenko, Boris; Vikhrova, LarisaTasks of minimax control for automatic systems with lumped parameters are operating under conditions of uncertainty considered. Using the methods of perturbation theory we receive the solution of these problems for systems with distributed parameters with more general functions of value. There is conducted further development of the theory of minimax controlling with regard to systems with distributed parameters described by generalized equations of parabolic type and based on the ideas expressed.Документ Modeling of optimal automatic control of the process of biological clearing of polluted waters by frozen order regulators(2017) Lobok, Alexey; Goncharenko, Boris; Vikhrova, Larisa; Sych, MarynaThe problem of modeling the control of the process of biological treatment of polluted waters using fractional regulators is considered and solved. Mathematical modeling of the biological purification process as a control object is considered, a linear dynamic control model is obtained. The criterion of the quality of automatic control of a fractional regulator by the functioning of a biological water purification system has been introduced. Optimum tunings of fractional regulators are obtained, the dynamics of transient processes of control action and the state of the purification system is investigated. Numerical simulation of fractional and classical control is carried out, a higher efficiency of fractional regulators is shown.Документ Optimal control of linear dynamic distributed systems under uncertainty(2017) Lobok, Alexey; Goncharenko, Boris; Vikhrova, LarisaРозглянуті задачі синтезу оптимального керування системами, що функціонують в умовах невизначеної інформації й описуються узагальненими рівняннями в частинних похідних параболічного типу. Керування має вигляд зворотного зв'язку від спостережуваних вимірів, для реалізації якого необхідно розв'язати інтегро-диференціальне рівняння типу Ріккаті. Окремо побудовані розподілені та зосереджені граничні регулятори, а також наведено рекурентний алгоритм визначення оптимального керування стосовно зміни числа спостережень. Розроблено алгоритм визначення необхідної кількості точкових регуляторів та їх оптимальне розташування на границі області, при яких критерій якості не перевищує заданого порогового значення. The article considers the problems of synthesis of optimal control systems that operate in conditions of an uncertain information and are described by generalized equations in partial derivatives of parabolic type. Control has the form of feedback from the observed measurements for the implementation of which it is necessary to solve integral-differential equation of Riccati. Separately built distributed and concentrated limiting regulators and are recursive algorithm for determining the optimal control regarding changes in the number of observations. There is an algorithm designed for determining the required number of point regulators and their optimal location on the border of the field in which the quality criterion does not exceed a specified threshold.Документ Synthesis systems robust control nonlinear object with delay(2016) Goncharenko, Boris; Lobok, AlexeyThe task of constructing an optimal robust control in a feedback on the state of the nonlinear dynamic system that minimizes the quadratic integral-functional disturbances under the most adverse system. Proposed solution to the problem of building robust nonlinear control system, which is influenced by perturbations of unknown nature, in terms of delay.Документ Justification of the influence of low-frequency mechanical vibrations on the intensification of the process of extraction of desired components from plant raw materials(2014) Zavialov, Volodymyr; Mysiura, Taras; Malezhik, Ivan; Bodrov, Viktor; Zaporozhets, Yuliia; Popova, Nataliia; Lobok, AlexeyThe problem to justify the influence of low-frequency mechanical vibrations on external mass transfer under the conditions of vibroextraction from plant raw materials and establish the regularities of its change depending of the mode parameters of the process was stated. Tim intensive renewal of the contact surface of phases in vibroextractors was achieved due to the mode parameters of the process (frequency and anqjlitude of vibrations of the vibrotransporting system). The established functional dependence of saturation of the extract by extractive substances with time on the volume mass-transfer coefficient will enable us to determine the minimum time for which the system achieves die equilibrium state of not only extraction processes, but also of the processes that are accompanied by mass exchange in apparatuses with mixing devices. The conclusions and results of the mathematical modeling under the conditions of vibroextraction agree with the results of die experiments.