DOI 10.17586/0021-3454-2023-66-3-183-194
UDC 62-50
SELECTION OF A DISCRETE QUADRATIC QUALITY INDEX WHEN CALCULATING A DIGITAL TRACKING SYSTEM WITH A FINITE DECAY TIME OF A FREE PROCESS AT A GIVEN ASTATISM ORDER
Naval Polytechnic Institute of Military educational and scientific center of the Navy "Naval Academy named after Admiral of the Fleet of the Soviet Union N.G. Kuznetsov", Faculty of Control Systems Automation;
A. I. Korshunov
Popov Navy Institute of Radioelectronics, Department of Radioelectronics, St. Petersburg; Professor
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Abstract. The influence of the choice of a discrete quadratic quality index in calculation of a digital servo system on the character of its transient response is considered. It is shown that when choosing a quality indicator in the form of the sum of squares of the first difference of the discrete transient response, the overshoot turns out to be the smallest. A necessary and sufficient condition for eliminating hidden oscillations is proved, which requires that “all zeros” of the numerator of the discrete transfer function of the continuous part be included in the numerator of the desired transfer function. It is established that in order to improve the quality of the transient process, it is necessary to reduce the sampling period while maintaining the time of the transient process.
Keywords: transient characteristic, discrete quadratic quality index, final time of free process attenuation, preset order of astatism
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