Abstract. Principles of multi-stage control and methods for compensating for nonlinearities of static nonlinear elements of automatic control systems are studied. Due to the fact that in the case of complex nonlinear elements, compensation using only one of the known compensation methods does not always reduce the system error to the desired value, a new solution is proposed - a compensation method based on the principle of multi-stage control, which almost completely reduces the error to zero. Specific of tuning intelligent systems based on the theory of fuzzy sets to solve the problem of compensating for natural and artificial nonlinearities are described. The influence of various algorithms of fuzzy inference when implementing multi-stage fuzzy control technology to compensate for nonlinearities of various types, is analyzed.

Keywords: automatic control systems, software system, compensation for nonlinear elements, fuzzy logic, intelligent system, fuzzy logic controller, program complex, intelligent module

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