A mathematical model for the steering control of an automobile is described
. The structure of the model derives from linear optimal discrete time prev
iew control theory but it is non-linear. Its parameter values are obtained
by heuristic methods, using insight gained from the linear optimal control
theory. The driver model is joined to a vehicle dynamics model and the path
tracking performance is demonstrated, using moderate manoeuvring and racin
g speeds. The model is shown to be capable of excellent path following and
to be robust against changes in the vehicle dynamics. Application to the si
mulation of manoeuvres specified by an ideal vehicle path and further devel
opment of the model to formalise the derivation of its parameter values and
to put it to other uses are discussed.