Modified Nevanlinna-Pick interpolation and feedback stabilization of linear plants with uncertainty in the gain factor

Abstract

This paper is a sequel to an earlier work in which we applied classical Novnnlinna-Pick interpolation to the stabilization of a single input-output plant, with uncertainly in the gain factor by means of an asymptotically stable control and feedback sensor. In this present work, we show that for the proper design we need a modification of the classical interpolation procedure, a point not clearly brought out in our previous paper.