STABILIZATION, PARAMETERIZATION, AND DECOUPLING CONTROLLER-DESIGN FOR LINEAR-MULTIVARIABLE SYSTEMS

Abstract

We study linear multivariable systems under the unity-feedback configuration. For nonsquare plants with no coincidences of unstable poles and zeros, we prove a simplified condition for closed-loop stability. The simplification leads to a simple description of the set of all achievable I / O maps and a simple parameterization of all controllers achieving the same I / O map. The results are used to describe the set of all achievable decoupled I / O maps and prove a necessary and sufficient condition for the existence of stable decoupling controllers.