ALGORITHM FOR SYNTHESIZING THE Y SYSTEMMANAGING A TWO-MASS ELASTIC DYNAMIC OBJECT
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Abstract
The paper deals with the creation of a control system for a dynamic object with an elastic property, described by a system of second-order differential equations, which is further transformed into two polynomial equations in matrix form. To solve the problem of synthesizing a control system , a two-matrix polynomial with unknown parametersis introduced into the system of equations, which is the transfer function of the controller, whose order is equal to two, giving the system the properties of astaticismi. To solve this problem, the matrix polynomial equation is transformed into a matrix linear equation with real coefficients. The proposed method of controller synthesis allows to ensure the stability of the system, while it gives the properties of astatism, the duration of transitionof one process is determined by the location and poles of the system and the desired quality indicators. The results of the simulation showed that the synthesized control system meets the requirements of the object.
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