Calculation of Robustly Stabilizing PI Controllers for Linear Time-Invariant Systems with Multiplicative Uncertainty

Abstract

The contribution is intended to present a method of computing robustly stabilizing PI controllers for linear time-invariant systems with unstructured multiplicative uncertainty. This graphical technique is based on the application of basic robust stability condition and plotting the robust stability border pairs of P-I parameters, which subsequently leads to the robust stability region. The illustrative example is presented to show the effectivity of this straightforward approach.