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  Citation Number 1
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Development of a mathematical apparatus for determining operator images of the desired quantized transition functions of finite duration
2016
Journal:  
Eastern-European Journal of Enterprise Technologies
Author:  
Abstract:

An important part of modern methods of synthesizing automatic control systems is selection of a characteristic polynomial that can provide the desired dynamics. However, standard polynomials allow only rough setting of the desired dynamic properties of a system. A more convenient and clear alternative of imparting desired properties to the system in static and dynamic modes is to use not the standard characteristic polynomials but the desired transfer function that is not selected from a list of standard forms but is set solely on the basis of technological requirements and technical implementation capacity of a particular type of equipment. The study suggests presenting the desired transition function of the automatic control system in a quantized form, i.e. as a set of operated coordinate values that change during a certain period that is relatively small in comparison with the duration of the transition process itself. A possibility of using quantized transition functions is represented as the sum of time-shifted Heaviside functions for the synthesis of regulators in open-loop control systems. A method has been developed to determine analytically the operator images of the desired quantized transition functions of finite duration by relying only on the values of the signal levels in the quantization time and the value of the quantization period. Author Biographies Oleksiy Sheremet, Dniprodzerzhynsk State Technical University 2 Dniprobudivska str., Dniprodzerzhynsk, Ukraine, 51918 PhD, Associate Professor Department of Electrical Engineering and Machinery

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Eastern-European Journal of Enterprise Technologies

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 4.764
Cite : 4.485
2023 Impact : 0.294
Eastern-European Journal of Enterprise Technologies