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About modeling hysteresis characteristics in problems of nonlinear control system synthesis

Abstract

About modeling hysteresis characteristics in problems of nonlinear control system synthesis

Grechkin N.L., Vataeva E.Yu.

Incoming article date: 17.11.2025

An algorithm for modeling smooth hysteresis nonlinearities is proposed, taking into account the slope coefficient k and the saturation level c. The developed model provides accuracy and ease of adjustment while maintaining intuitive physical parameters of the hysteresis loop, which makes it effective for practical application in the tasks of analysis and synthesis of nonlinear control systems.

Keywords: unambiguous nonlinearities, hysteresis, automatic control systems, backlash with saturation, ambiguous nonlinearities, algorithm, modeling of automatic control systems, relay, static characteristic, approximation