Controller Synthesis for Infinite Dimensional Systems based on a Passivity Approach

The author discusses a generalization of hyperstability to systems in Hilbert space and its application to finite-dimensional stabilizing compensator design. The basic idea is to characterize tolerable perturbations in terms of the passivity of the nominal closed-loop system. Controllers achieving the required closed-loop passivity property can then be designed using H/sub infinity /-optimization. In particular, the author presents a design procedure for stabilizing a finite-dimensional compensator for a given infinite-dimensional system.<>