Three-Position Temperature Control of a Nonlinear Process Model with Time Delay

In this paper, nonlinear automatic control systems are analyzed. Although there is a division into linear and nonlinear systems, complex systems that contain linear and nonlinear control elements are dealt with here. For the analysis of both, analysis and synthesis methods have been developed that are used in design. Analytical, graphical and grapho-analytical methods are used to check the stability of the management system. The methods usually use elementary operations from management and mathematics that have been developed for these needs. One system was chosen for temperature regulation, where elements were chosen whose mathematical representation complicates the system to the extent that it is difficult to analyze it using elementary operations. This paper applies the descriptive function method that was developed for nonlinear systems. The goal will be achieved if, even in more complex algorithms for application, the result is obtained as efficiently as in simpler systems. For this, the apparatus of numerical mathematics will be used, for which a special calculation software has been developed.