System and method for gyro rate computation for a Coriolis Vibrating Gyroscope
In accordance with one or more aspects of the present disclosure, a method including supplying a first voltage input to a Coriolis vibratory gyroscope at a first bias voltage; supplying a second voltage input to the Coriolis vibratory gyroscope at a second bias voltage, the second bias voltage being different than the first bias voltage; detecting a difference in responses of the Coriolis vibratory gyroscope due to the first bias voltage and the second bias voltage; and determining a gyro rate of the Coriolis vibratory gyroscope as a function of the difference in responses and a correction term.
1. A method comprising:
supplying a first voltage input to a Coriolis vibratory gyroscope at a first bias voltage;
supplying a second voltage input to the Coriolis vibratory gyroscope at a second bias voltage, the second bias voltage being different than the first bias voltage;
detecting a difference in responses of the Coriolis vibratory gyroscope to the first bias voltage and the second bias voltage; and
determining a gyro rate of the Coriolis vibratory gyroscope as a function of the difference in responses and a correction term.
2. The method of claim 1 , wherein the Coriolis vibratory gyroscope outputs a first response in response to the first bias voltage and a second response in response to the second bias voltage and the correction term represents a sum of the time-dependent instrument bias in the first response and the second response.
3. The method of claim 1 , wherein the gyro rate of the Coriolis vibratory gyroscope is determined independent of a scale factor of the Coriolis vibratory gyroscope.
4. The method of claim 1 , wherein the correction term is a predetermined constant value based on an initial voltage output and initial input rate of the Coriolis vibratory gyroscope at the first bias voltage and the second bias voltage.
5. The method of claim 1 , wherein a change in voltage output of the Coriolis vibratory gyroscope from a first response at the first bias voltage to a second response at the second bias voltage provides a first scale factor corresponding to the first response and a second scale factor corresponding to the second response for a common voltage input to the Coriolis vibratory gyroscope.
6. The method of claim 5 , wherein the gyro rate (Ω) is determined from the equation
Ω
=
(
V
0
-
V
0
′
-
C
)
1
S
0
-
1
S
0
′
where S 0 is the first scale factor and S 0 ′ is the second scale factor with (1/S 0 )−(1/S 0 ′) being the difference in responses of the Coriolis vibratory gyroscope to the first bias voltage and the second bias voltage, V 0 is the first response at the first bias voltage, V 0 ′ is the second response at the second bias voltage, and C is the correction term.
7. The method of claim 6 , wherein the difference in responses of the Coriolis vibratory gyroscope to the first bias voltage and the second bias voltage is constant.
8. The method of claim 5 , further comprising continuing to determine the gyro rate of the Coriolis vibratory gyroscope, as the function of the difference in responses and the correction term, independent of calibration of the first scale factor and calibration of the second scale factor where the time dependent instrument bias causes the first scale factor and the second scale factor to shift equally.
9. The method of claim 1 , further comprising navigating a vehicle from a first location to a second location with the Coriolis vibratory gyroscope.
10. A system comprising:
a Coriolis vibratory gyroscope;
a voltage input supply configured to
supply a first voltage input to the Coriolis vibratory gyroscope at a first bias voltage, and
supply a second voltage input to the Coriolis vibratory gyroscope at a second bias voltage, the second bias voltage being different than the first bias voltage; and
a controller configured to detect a difference in responses of the Coriolis vibratory gyroscope to the first bias voltage and the second bias voltage, and determine a gyro rate of the Coriolis vibratory gyroscope as a function of the difference in responses and a correction term.
11. The system of claim 10 , wherein the Coriolis vibratory gyroscope outputs a first response in response to the first bias voltage and a second response in response to the second bias voltage and the correction term represents a sum of the time dependent instrument bias in the first response and the second response.
12. The system of claim 10 , wherein the controller is configured to determine the gyro rate of the Coriolis vibratory gyroscope independent of a scale factor of the Coriolis vibratory gyroscope.
13. The system of claim 10 , wherein the correction term is a predetermined constant value based on an initial voltage output and initial input rate of the Coriolis vibratory gyroscope at the first bias voltage and the second bias voltage.
14. The system of claim 10 , wherein a change in voltage output of the Coriolis vibratory gyroscope from a first response at the first bias voltage to a second response at the second bias voltage provides a first scale factor corresponding to the first response and a second scale factor corresponding to the second response for a common voltage input to the Coriolis vibratory gyroscope.
15. The system of claim 14 , wherein the gyro rate (Ω) is determined from the equation
Ω
=
(
V
0
-
V
0
′
-
C
)
1
S
0
-
1
S
0
′
where S 0 is the first scale factor and S 0 ′ is the second scale factor with (1/S 0 )−(1/S 0 ′) being the difference in responses of the Coriolis vibratory gyroscope to the first bias voltage and the second bias voltage, V 0 is the first response at the first bias voltage, V 0 ′ is the second response at the second bias voltage, and C is the correction term.
16. The system of claim 15 , wherein the difference in responses of the Coriolis vibratory gyroscope to the first bias voltage and the second bias voltage is constant.
17. The system of claim 14 , wherein the controller is configured to continue to determine the gyro rate of the Coriolis vibratory gyroscope, as the function of the difference in responses and the correction term, independent of calibration of the first scale factor and calibration of the second scale factor where the time dependent instrument bias causes the first scale factor and the second scale factor to shift equally.
18. The system of claim 10 , wherein the controller is configured to navigate a vehicle from a first location to a second location with the Coriolis vibratory gyroscope.
19. A method comprising:
determining scale factors for a first voltage input at a first bias voltage and a second voltage input at a second bias voltage for a Coriolis vibratory gyroscope;
providing the first voltage input to the Coriolis vibratory gyroscope at the first bias voltage and detecting a first response of the Coriolis vibratory gyroscope;
providing the second voltage input to the Coriolis vibratory gyroscope at the second bias voltage and detecting a second response of the Coriolis vibratory gyroscope; and
using a difference of the first response and the second response, the scale factors for the first voltage input and the second voltage input and a gyro rate of the Coriolis vibratory gyroscope to determine a correction term representing a function of a difference of the time dependent instrument bias in the first response and the second response.
20. The method of claim 19 , wherein the correction term (C) is determined from the equation
Ω
=
(
V
0
-
V
0
′
-
C
)
1
S
0
-
1
S
0
′
where S 0 is a first scale factor corresponding to the first response and S 0 ′ is a second scale factor corresponding to the second response with (1/S 0 )−(1/S 0 ′) being the difference in responses of the Coriolis vibratory gyroscope to the first bias voltage and the second bias voltage, V 0 is the first response at the first bias voltage, V 0 ′ is the second response at the second bias voltage, and C is the correction term.