Robust Stabilizing PID Controllers for Multiple Time Delay Systems with Parametric Uncertainty

Abstract

This paper presents a methodology to compute all stabilizing robust PI and PID controllers for multiple time delay systems with parametric uncertainty structure. The method is based on the computation of the stability regions in a parameter space of the PI and PID controllers. Analytical expressions are derived to construct the boundaries of the stability region. All values of the controller parameters in the proposed stability region guarantee the robust stability of multiple time delay systems. A case study illustrates the effectiveness of the proposed method.