PUBLICATIONS - International Conferences

Fast Calculation of Stabilizing PID Controllers for Uncertain Parameter Systems

N Munro and M T Söylemez 

This paper introduceses a new and very fast way of calculating the limiting values of the proportional, integral, and derivative action terms of the set of stabilizing PID controllers for a given SISO system.  An extension of this method to systems with an interval uncertainty structure is presented that allows the characterization of stabilizing PID controllers for such systems, and offers several important advantages over the recent results of Ho et al (1998).  Our computational experiments show that our approach is several orders of magnitude faster than previously published results that we are aware of, being almost instantaneous on a 200MHz PC, and could therefore be of interest to the robust control community.

A summary of previous work in this area is given, and the new approach is illustrated by examples.