Sensitivity Minimization by Strongly Stabilizing Controllers for a Class of Unstable Time-Delay Systems

Weighted sensitivity minimization is studied within the framework of strongly stabilizing (stable) H
^infin
controller design for a class of infinite dimensional systems. This problem has been solved by Ganesh and Pearson, for finite dimensional plants using Nevanlinna-Pick interpolation. We extend their technique to a class of unstable time delay systems. Moreover, we illustrate suboptimal solutions, and their robust implementation.