Separation of constant settling time area with D-composition method for controlled time delay systems

Abstract

D-decomposition method in the area of relative stability, developed from Loo [7] in order to separate constant time settling area in parametric space which ensures the system having predefined settling time.[4].This paper develops the methods 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 . Now it would be 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 settling time Ts of controlled system will have a priori defined value . Useful of this researches is that checking of obtained results can be made with MATLAB software package actually the simulation of dynamic behaviour will be done with this package at the end.