Method to determine the roll angle of a motorcycle

1. A method to determine a roll angle (λ E ) of a vehicle, comprising:

determining, by a processor of the vehicle, a first roll angle variable (λ 1 ) from an acquired rolling rate {dot over (λ)} m ({dot over (λ)} M ) of the vehicle using a first method;

determining, by the processor of the vehicle, a second roll angle variable (λ 2 ) from one or more further vehicle movement dynamics characteristic variables using a second method;

calculating, by a processor of the vehicle, the roll angle (λ E ) as a combination of at least the first roll angle variable (λ 1 ) and the second roll angle variable (λ 2 ) by:

calculating a first combination, by combining the first roll angle variable of the first method high-passed filtered with a first cutoff frequency and the second roll angle variable of the second method low-passed filtered with the first cutoff frequency,

calculating a second combination, by combining the first roll angle variable of the first method high-passed Filtered with a second cutoff frequency and the second roll angle variable of the second method low-passed filtered with the second cutoff frequency, and

calculating a third combination as the roll angle (λ E ) by combining the result of the first combination low-passed filtered with a third cutoff frequency and the result of the second combination high-passed filtered with the third cutoff frequency,

wherein the first, the second and the third cutoff-frequencies are different; and

controlling, by the processor of the vehicle, an operation of the vehicle using the roll angle (λ E ).

2. The method according to claim 1 , wherein the combination comprises multiple levels, wherein each level comprises at least one filtering step and at least one combination step.

3. The method according to claim 1 , wherein the first roll angle variable (λ 1 ) has different characteristics than the second roll angle variable (λ 2 ).

4. The method according to claim 1 , wherein the second roll angle variable (λ 2 ) is determined from:

a yaw rate of the vehicle and a vehicle velocity; and/or

a lateral acceleration and vertical acceleration of the vehicle.

5. The method according claim 1 , further comprising eliminating, based on inertial measurement, cross effects occurring between angular rates due to inclinations of a measurement system, wherein the cross effects are erroneous angular rates.

6. The method according to claim 1 , wherein one of the roll angle variable determination methods applies a resettable integrator in combination with a resettable high-pass filter to eliminate roll-rate offset effects.

7. The method according to claim 6 , wherein the first method applies an integrator for determining the first roll angle variable (λ 1 ), wherein the integrator and direct subsequent high-pass filters are reset when the output of the integrator reaches a predefined threshold.

8. The method according to claim 1 , wherein the processor uses a compensation method to increase a precision of the calculation of the first roll angle variable (λ 1 ) and the second roll angle variable (λ 2 ) based on a vertical centrifugal acceleration.

9. The method according to claim 1 , wherein the processor uses a compensation method to increase a precision of the calculation of the first roll angle variable (λ 1 ) and the second roll angle variable (λ 2 ) based on lateral acceleration and roll rate.

10. The method according to claim 1 , wherein

the first roll angle variable is for rapidly changing roll angle values, and

the second roll angle variable is for steady roll angle values, wherein the combination takes place in a frequency domain.

11. The method according to claim 1 , wherein an amplitude of high frequencies of the roll angle variable of the first method is weighted higher than an amplitude of high frequencies of the roll angle variable of the second method, wherein an amplitude of low frequencies of the roll angle variable of the second method is weighted higher than an amplitude of low frequencies of the roll angle variable of the first method, wherein an amplitude of mid frequencies are weighted similarly.

12. The method according to claim 1 wherein the third cutoff frequency lies between the first cutoff frequency and the second cutoff frequency.

13. A method to determine a roll angle (λ E ) of a vehicle, comprising:

determining, by a processor of the vehicle, a first roll angle variable (λ 1 ) from an acquired rolling rate ({dot over (λ)} M ) of the vehicle using a first method;

determining, by the processor of the vehicle, a second roll angle variable (λ 2 ) from one or more further vehicle movement dynamics characteristic variables using a second method;

calculating, by a processor of the vehicle, the roll angle (λ E ) as a combination of at least the first roll angle variable (λ 1 ) and the second roll angle variable (λ 2 ) and

controlling, by the processor of the vehicle, an operation of the vehicle using the roll angle (λ E ),

wherein the combination comprises multiple levels, wherein each level comprises at least one filtering step and at least one combination step, and

wherein the number of levels is x, wherein the y-st level comprises 2 x−y+1 filtering steps and 2 x−y combination steps, wherein the output of level y is the input of level y+1, and wherein in the y-st level 2 x−y cutoff frequencies are applied.

14. A device to determine a roll angle (λ E ) of a vehicle, comprising:

a processor of the vehicle configured to:

determine a first roll angle variable (λ 1 ) from an acquired rolling rate ({dot over (λ)} M ) of the vehicle using a first method;

determine a second roll angle variable (λ 2 ) from one or more further vehicle movement dynamics characteristic variables using a second method;

calculate the roll angle (λ E ) as a combination of at least the first roll angle variable (λ 1 ) and the second roll angle variable (λ 2 ) by:

calculating a first combination, by combining the first roll angle variable of the first method high-passed filtered with a first cutoff frequency and the second roll angle variable of the second method low-passed filtered with the first cutoff frequency,

calculating a second combination, by combining the first roll angle variable of the first method high-passed filtered with a second cutoff frequency and the second roll angle variable of the second method low-passed filtered with the second cutoff frequency, and

calculating a third combination as the roll angle (λ E ), by combining the result of the first combination low-passed filtered with a third cutoff frequency and the result of the second combination high-passed filtered with the third cutoff frequency,

wherein the first, the second and the third cutoff-frequencies are different; and

control an operation of the vehicle using the roll angle (λ E ).