“…The equations of this model can be expressed as where m is the mass of the vehicle, u is the longitudinal velocity, v is the lateral velocity, F xij are the longitudinal forces at each wheel, F yij are the lateral forces at each wheel (where the subscript ij represents different wheels with fl representing the front left wheel, fr representing the front right wheel, rl representing the rear left wheel and rr representing the rear right wheel), r is the vehicle yaw rate, I z is the inertia moment about the vertical axis, B f is the track width of the front axle, B r is the track width of the rear axle, a is the distance from the front axle to the centre of gravity of the vehicle, b is the distance from the rear axle to the centre of gravity of the vehicle and d is the steered tyre angle, which is the average value for the two front wheels. In general, d can be expressed as u/i ts , where u is the steering-wheel angle and i ts is steering transmission ratio, which usually remains a constant value when the steering angle 35 is less than 300°(the details of a gear with a variable ratio can be found in the papers by Alexandru et al 36,37 but are not considered here).…”