The Method for Extracting Region of Absolute Stability-Loop - Controlled Time Delay Systems

Abstract

This paper presents D-decomposition method in the area of absolute stability, developed from Neimark in order to extract region of absolute stability in two-parameters plane for special class of time – delay system.. It means that the open loop transfer function has specific expression with linearly connected open loop gain K=1/α,where α is one variable parameter and the second one is time delay constant τ which is connect with is in non-linear function in open loop transfer function.Now we develop the method for synthesis and analysis of controlled-loop system with proportional regulator for circulating reservoir for mixing liquids and presents and investigates the further expansion of last obtained results .With this method it is possible to separate the region in three-dimensional space( frequency ω (Hz), gain K=1/α and time delay constant (τ), so that adjustable parameters guarantee absolute stability of synthesized automatic control system.