PID controller tuning for desired closed-loop responses for SI/SO systems

Abstract

Proportional, integral, and derivative (PID) parameters are obtained for general process models by approximating the feedback form of an IMC controller with a Maclaurin series in the Laplace variable. These PID parameters yield closed-loop responses that are closer to the desired responses than those obtained by PID controllers tuned by other methods. The improvement in closed-loop control performance becomes more prominent as the dead time of the process model increases. A new design method for two degree of freedom controllers is also proposed. Such controllers are essential for instable processes and provide significantly improved dynamic performance over single degree of freedom controllers for stable processes when the disturbances enter through the process.