Оптимізація нелінійних імпульсних систем автоматичного регулювання з астатичними об’єктами

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.