When is a parameterized controller suitable for adaptive control ?

Abstract : In this paper we investigate when a parameterized controller, designed for a plant depending on unknown parameters, admits a realization which is independent of these parameters. It is argued that adaptation is unnecessary for this class of parameterized controllers. We prove that standard model reference controllers (state and output-feedback) for linear time invariant systems with a suitably chosen filter at the plant input admit a parameter independent realization.