Optimization of nonlinear pulse systems of automatic control with astatic objects

Authors

  • O. Sinyavsky National University of Life and Environmental Sciences of Ukraine image/svg+xml
  • V. Kisten Nizhyn Agricultural College , ВП НУБіП України «Ніжинський агротехнічний коледж»
  • N. Solomko Nizhyn Agricultural College , ВП НУБіП України «Ніжинський агротехнічний коледж»

DOI:

https://doi.org/10.31548/energiya2021.01.061

Abstract

Abstract. Currently, nonlinear pulse automatic control systems have become widespread, so there is a need to develop methods for their study.

Pulse regulators are created on the basis of positional with the addition of pulse breakers. They can be represented as a non-linear element, a simple impulse element and a forming circle connected in series.

The aim of the study was to determine the optimal parameters for setting up a relay-pulse controller for an astatic object with a delay.

When determining the parameters of adjustment of the relay-pulse regulator for the quality indicator in the optimization of the automatic control system was taken as the total square deviation. Applying this criterion, the pulse duration of the regulator was determined.

The time quantization interval is determined from the condition of ensuring the absolute stability of the automatic control system.

Analytical dependences were obtained to determine the pulse duration and time quantization interval, which make it possible to determine the debugging parameters of the relay-pulse controller for a first-order astatic object with a delay. This ensures a minimum control error, and the control system is stable.

Key words: nonlinear pulse automatic control system, relay-pulse regulator, pulse duration, time quantization interval, stability of automatic control system

References

Sinyavsky, O. Yu., Savchenko, V. V. (2017). Avtomatychne keruvannia pryhotuvanniam zhyvylnoho rozchynu v hidroponnykh teplytsiakh [Automatic control of nutrient solution preparation in hydroponic greenhouses]. Enerhetyka i avtomatyka, 1, 16-27.

Sinyavsky, O. Yu, Savchenko, V. V. (2016). Avtomatychne keruvania mineralnym zhyvlenniam roslyn u hidroponnykh teplytsiakh [Automatic control for mineral nutrition of plants in hydroponic greenhouses]. Kyiv: KOMPRYNT, 249 .

Dubrovnyy, V. A., Zabokritskiy, E. I., Tregub, V. G. (1981). Spravochnik po naladke avtomaticheskikh sistem kontrolya i regulirovaniya [Handbook for setting up automatic control and regulation systems]. K.: Naukova dumka, 940.

Tsypkin, Ya. Z., Popkov, Yu. S. (1973). Teoriya nelineynykh impul'snykh sistem [Theory of nonlinear impulse systems]. Moskow: Nauka, 416.

Ivashchenko, N. N. (1978). Avtomaticheskoye regulirovaniye [Automatic regulation]. M.: Mashinostroyeniye, 736.

Published

2021-04-27

Issue

Section

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