Authors
Kolesnikova S.
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Degree
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Dr of Technique, Associate Professor, Saint-Petersburg State University of Aerospaсe Instrumentation |
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E-mail
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skolesnikova@yandex.ru |
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Location
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Saint-Petersburg |
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Articles
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Synthesis of a stochastic regulator on manifolds for nonlinear discrete objectThe article presents a theoretical result in the form of a new synthesis algorithm of a control system
for a two-dimensional object whose mathematical model is a system of second-order nonlinear difference
equations. Two types of control systems for such an object are presented for the cases of its functioning
both in deterministic conditions and in stochastic conditions. The theoretical basis of the algorithm
for controlling the synthesis of a two-dimensional discrete stochastic object is the analytical design
method for aggregated regulators. The application of this method for synthesis control of the abovementioned
object was implemented as a two-stage procedure. At the first stage, the structure of the control
system is formed on the basis of predefined target macro variables, the form of which determines the
description of target manifolds. The second stage poses the task of robust control of the object’s output
to a given manifold with a minimum variance for the output macro variable. The paper provides the results
of numerical modeling with quality assessment of transient processes, confirming the consistency
of the received control system of the economic object and positive properties in comparison to classical
control. The algorithm for control system design and the implemented corresponding control algorithm
to the problem solution for stabilizing of the stochastic object can be useful for any nonlinear systems.
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