Tuning method of automatic controllers to object models with second order advance-delay and dead time

Abstract

This article explores the application of mathematical models in the design and analysis of automatic control system. By integrating mathematical concepts such as linear algebra, mathematical analysis, the performance and reliability of automatic control systems can be optimized. In the paper, an efficient procedure has been developed for tuning the standardized P, PI, PD, and PID control algorithms to mathematical models of second-order advance-delay with dead time control objects with known parameters, using the maximal stability degree method with iterations. The advantages of the maximum stability degree method with reduced calculations and minimal time are highlighted.

Keywords

• mathematical model
• advance-delay control object
• transfer function
• automatic system
• tuning methods
• differential equation