DECOUPLING CONTROLLER-DESIGN FOR LINEAR-MULTIVARIABLE PLANTS

Abstract

We study decoupling controller design for linear time-invariant square MIMO plants under the unity-feedback configuration. For plants with no coincidences of unstable poles and zeros, we give a simplified necessary and sufficient condition for closed-loop stability. The simplified condition leads to a simple parametrization of the set of all achievable decoupled I/O maps and an algorithm which allows the design of decoupling controllers to achieve preassigned closed-loop poles.