Parametric approach to the decoupling of linear distributed-parameter systems

Abstract

In this study the input–output decoupling of linear distributed-parameter systems with distributed control and distributed measurement is considered. The decoupling problem is formulated as an eigenstructure assignment problem for distributed-parameter systems, which is solved using the parametric approach. The resulting static state feedback controller exponentially stabilises the closed-loop system and decouples the reference transfer behaviour with respect to the first p dominant closed-loop modal states. The residual dynamics are taken into account by compensating further dominant eigenvalues with transmission zeros, so that they do not influence the reference transfer behaviour. A heat conductor is used to demonstrate the design procedure which is also compared with an early lumping approach.