A NEW CONCEPT ON PI DESIGN FOR TIME DELAY SYSTEMS: WEIGHTED GEOMETRICAL CENTER

Abstract

In this paper, a new concept on PI design for time delay systems is intro- duced. The concept is weighted geometrical center of the stabilizing controller parameters region. Calculating of the stabilizing control parameters region is based on plotting the stability boundary locus in the (kp;ki) plane and then computing stabilizing values of the parameters of a PI controller. The weighted geometrical center point of this region is computed by using coordinates of the boundary points. In the simulations, stabilizing controllers in a trial circular area centered at the weighted geometrical center point are studied. Simulation results show that the weighted geometrical center point is a special point in terms of compromising on the transient state characteristics. Keywords: PI controller, Design method, Weighted geometrical center