Controller with time-delay to stabilize first-order processes with dead-time

Abstract

This paper focuses on the stability analysis of analytic functions with two transcendental terms to obtain parameters that guarantee an exponential decay rate \sigma in the response of the linear time-invariant system associated to the analytic function. A consequence of this analysis, exact analytic equations to tune all the gains of a controller with time-delay action called as Proportional Integral Retarded (PIR) control law and determine \sigma-stabilize in first-order processes with dead-time are presented. To illustrate the effectiveness of the theoretical results proposed here, an application on a Quanser thermal platform is given. Furthermore, a comparison with a classic PID control law is delivered.