The influence of finite word length representation of the delta predictive controller design for automotive powertrain systems

The automotive systems contain fast processes that implies fast sampling rate. Moreover, the existing digital hardware contains processing registers that have finite precision and therefore, the representation can be restricted to a finite number of bits. Predictive control strategy in discrete δ domain, State Space δ Generalised Predictive Control, in particular, referred as SS δ GPC algorithm, can bring significant improvements in terms of choosing a small sampling period combined with finite word length representation. The aim of this paper is to emphasize the advantages of the SS δ GPC algorithm, compared to the classical GPC strategy for different word length representation.