N.L. Grechkin1, E.Yu. Vataeva2, V.F. Shishlakov3

1-3 St. Petersburg State University of Aerospace Instrument Engineering (St. Petersburg, Russia)

1 space.suai@bk.ru; 2 elizavetavataeva@mail.ru; 3 svfmail@yandex.ru

The problem. The problem of synthesizing nonlinear automatic control systems is a fundamental problem in the theory of automatic control, which has attracted the attention of many researchers for many decades. Due to the complexity of the analysis and synthesis of such systems, from the point of view of unified mathematical and methodological approaches, many classical problems of the theory of automatic control remain unsolved. The task of synthesizing nonlinear automatic control systems is acquiring particular relevance in connection with the active complication of automatic systems being introduced into various branches of science and technology. From the above it follows that the development of a software package that makes it possible to synthesize high-quality and reliable control systems for technical objects and devices in the presence of nonlinear static and dynamic characteristics is very relevant. The paper discusses the algorithm of the module for determining the switching points required when solving the problem
of synthesizing controllers for various automatic control systems based on a modification of one of the methods of mathematical physics - the generalized Galerkin method, and some ambiguous nonlinear characteristics.

Target. Present an algorithm for a module that allows you to determine the switching points of some ambiguous nonlinear characteristics, which is part of a software package that implements the solution to the problem of synthesizing control operators for nonlinear automatic control systems.

Results. An algorithm is proposed for a module for calculating switching points of ambiguous nonlinear characteristics using the example of a two-position relay in hysteresis. Simulation results are presented, which confirms the performance of the algorithm under consideration.

Practical significance. The developed module is part of a software complex built according to a block-modular type, which implements the solution to the problem of synthesizing controllers for automatic control systems in the presence of nonlinear static and dynamic characteristics.

The paper was prepared with the financial support of the Ministry of Science and Higher Education of the Russian Federation, grant agreement No. FSRF-2023-0003, “Fundamental principles of building of noise-immune systems for space and satellite communications, relative navigation, technical vision and aerospace monitoring”.

Grechkin N.L., Vataeva E.Yu., Shishlakov V.F. Algorithm for calculating nonlinearity switching points “two-position relay with hys-teresis”. Radiotekhnika. 2024. V. 88. № 8. P. 26−34. DOI: https://doi.org/10.18127/j00338486-202408-03 (In Russian)

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