Simulation the Transport and Dosing Device Behaviour Like object in Automatic Control System with Pre - defined Relative Stability

Abstract

Typical representatives of transport and dosing processes, where is presented transport delay are objects of type conveyor for coal, machinery for the production of plastic (extruders) and drugs and other devices where is carried out transport of solids and its dosage and storage . The task of these devices for transporting and dosing is the quantity of material to be retained in the bunker at a constant value (h = const) through transport belt from tank to bunker. In this paper we will develop system of automatic control for this purpose, which will have pre – defined relative stability (settling time and damping factor). Mathematical model of this control systems i.e. their open loop transfer functions belongs to the class of system for which required methods were first developed from Loo and Neimark. This paper presents and investigates the further expansion of last obtained results and applied those methods for synthesis automatic control system with proportional regulator for transport and dosing devices. This D-decomposition method in the area of relative stability separates constant settling time area in parametric plane which ensures the system having predefined settling time. We also will use another method that has a lot of specifics regarding to the needs of extraction the region in parametric plane which ensures the system having predefined damping factor. Now it would be possible to separate the regions in three-dimensional space- frequency ω (Hz), loop gain (K=1/α) and time delay constant (τ), where adjustable parameters guarantee settling time Ts and damping factor (ξ) 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, so the simulation of dynamic behavior of the system can define settling time Ts and damping factor ξ from the transient curve.