Robust and non‐fragile PID controller design

Abstract

Abstract This paper provides a solution to the problem of robustly stabilizing a given interval plant family using P, PI and PID controllers. This solution is derived by combining some recent results on P, PI and PID stabilization of fixed plants with some standard results from the parametric robust control literature. The paper also develops a technique for designing PID controllers which are not only robust with respect to plant parameter perturbations but are also ‘non‐fragile’ in the space of the controller coefficients. Copyright © 2001 John Wiley & Sons, Ltd.