Abstract In the recent years several papers have been presented, which analyse predictive control approaches as non-parametric algorithms. A parametric description of predictive control would be helpful for comparisons with classical control-algorithms and for analysing its suitability for adaptive control. In this contribution a parametric input-output description of Generalized Predictive Control is presented. It yields a set of transfer-functions, consisting of a closed-loop controller and a predictive feedforward set-point-filter. Simulations will show the relationship to Deadbeat-Control. This and other properties will be proved. A similar procedure with respect to other predictive control-algorithms is suggested.
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