Predictive control strategy in δ domain for damping oscillations in a driveline system

The systems from automotive industry contain fast processes that require fast sampling rate. Moreover, the existing digital hardware contains processing registers that have finite precision and the representation can be restricted to a finite number of bits. Thus, the controller must be implemented on these limited word length control units in the context of fast sampling rate. The drawback of the classical discrete time representation appears at high sampling frequency when discrete z- representation of the model can cause instability. This disadvantage is even stronger as the number of bits used for finite word length implementation is smaller. In this paper, a predictive controller designed in discrete time δ domain is proposed and it is successfully applied for a driveline system, considering different word length representation.