The common parameter estimation basis of adaptive filtering, identification, and control

This paper elucidates the common parameter estimation basis of adaptive filtering, identification, and control. This is achieved by converting the direct input-output form of the discrete adaptive infinite impulse response filtering, adaptive output error identification, and model reference adaptive control problems to a single state-variable form stable error model. This interconnection encourages further cross-fertilization of problems and solutions among these frequently disjointly pursued applications of adaptive parameter estimation.