About the Possibility of Researching the Optimal Automatic Control System on a Physical Model of a Thermal Object

Abstract

The article presents laboratory bench for research of the optimal and quasi-optimal automatic control system in the contest of its operation speed. Laboratory bench consists of thermal unit and software and hardware suite which includes VIPA System 200 V and HMI/SCADA logic controller and Zenon Supervisor 7.0 system. Thermal unit is described by differential equation of second order pursuing the control channel “amperage in electric heating unit power converter – air temperature inside thermal unit Differential equation coefficients depend on screen position and rotation frequency of centrifugal blower. The methodology of synthesis and results of calculation of optimal relay hypothesis for thermal unit control through the chosen channel has been approached. The results of experiment in transition of thermal unit from various initial states to final states have been demonstrated. The possibility of implementing optimal control system in respect of its operation speed in real time scale by means of software development by including algorithms for transcendence set of simultaneous equations into it or by means of development of predicative model of thermal unit has been shown.The conditions for application of quasi-optimal relay control hypothesis in respect of its operation speed have been specified. Methodology of synthesis and results of calculation of the length of the first control interval depending on the predetermined value of readjustment has been presented. The results of modeling of quasi-optimal automatic control system in respect of its operation speed in Simulink of Matlab app have been demonstrated. Functional relation of the length of the first control interval depending on the predetermined value of readjustment for implementing of quasi-optimal automatic control system in real time scale with application of basic operational units of programmed logic controller has been established.