A method for determining a tilt angle of a vehicle includes measuring
accelerations of a vehicle in directions along a longitudinal axis, a
transverse axis, and a vertical axis of the vehicle. A current tilt angle
of the vehicle is calculated as a function of the measured accelerations.
A magnitude-compensated tilt angle is calculated as a function of the
current tilt angle, of a preceding tilt angle, and of the magnitude of
the vector sum of the measured accelerations. A gyroscopically stabilized
magnitude-compensated tilt angle is calculated as a function of the
current tilt angle, of a preceding tilt angle, of the magnitude of the
vector sum of the measured accelerations, and of a change in the tilt
angle over a given time period calculated from angular rate data provided
by a gyroscope.