Design of Astatic Digital Systems with Application of Standard Normalized Transfer Functions
https://doi.org/10.17587/mau.20.16-33
Abstract
Control systems with the increased astatic order provide higher accuracy and consequently their application is expedient at the solution of many control problems. In particular, it concerns to digital systems which have higher adaptability to manufacture and reliability. However the task of the digital systems design is a little bit more difficult in comparison with a similar task in a continuous case. Article is devoted to the solution of a design problem of the discrete automatic systems, which realization is carried out on the basis of a control principle on output and impacts. Standard normalized transfer functions (SNTF) are convenient means for the problem solution of the control systems design with the required direct quality indices. The method of the desirable transfer functions formation for the digital control systems on basis of the continuous systems SNTF is suggested in article. This method follows from the theorem proved in this article and consists in carrying out of the z-transformation suitable tabulated SNTF of the continuous system and some updating of the received function. The formation method of the desirable transfer functions of the digital systems with the second order astatic, constant overshot and final duration of transients is suggested in article also. The control systems with such properties of transients have the increased order; therefore microcontrollers with high speed are required for their realization. Efficiency of the suggested methods is illustrated by numerical examples.
About the Author
A. R. Gaiduk
Southern Federal University; Kislovodsk Humanitarian-Technical Institute.
Russian Federation
D. Sc., Professor; Head of Department.
Russian Federation
D. Sc., Professor; Head of Department.
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Review
For citations:
Gaiduk A.R. Design of Astatic Digital Systems with Application of Standard Normalized Transfer Functions. Mekhatronika, Avtomatizatsiya, Upravlenie. 2019;20(1):16-28. (In Russ.) https://doi.org/10.17587/mau.20.16-33
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