US 20030159510 A1 Abstract Quadrature error occurs in Corolis based vibrating rate sensors because of manufacturing flaws that permit the sensing element to oscillate either linearly along or angularly about an axis that is not orthogonal to the output axis. This creates an oscillation along or about the output axis that is a component of the sensing element's vibration acceleration. This output axis oscillation is in phase with the driven acceleration of the sensing element and is called quadrature error since it is ninety degrees out of phase with the angular rate induced Coriolis acceleration. Rather than applying forces that reorient the axis of the driven vibration to be orthogonal to the output axis to eliminate the output axis oscillation, the present invention applies sinusoidal forces to the sensing element by means of a quadrature servo to cancel the output oscillation. In order to avoid the phase uncertainty associated with electronic modulation, the quadrature servo feeds back a DC signal that is modulated mechanically by means of an interdigitated variable area electrostatic forcer.
Claims(42) 1. A method for nulling quadrature in an angular rate sensor, having a dithered proof mass, the steps of the method comprising:
applying vibration driving forces to vibrate the dithered proof mass; and applying a restoring force to the vibrating proof mass which is in phase with its dithered displacement. 2. The method of 3. The method of 4. The method of applying a bias voltage to the proof mass;
applying a plus or minus d.c. control voltage to electrodes adjacent to the proof mass; and
adjusting the d.c. control voltage to null the quadrature.
5. The method of 6. The method of 7. The method of 8. The method of applying a bias voltage to the proof mass;
applying a plus or minus d.c. control voltage to electrodes adjacent to the scalloped edge of the proof mass; and
adjusting the d.c. control voltage to null the quadrature.
9. The method of 10. The method of 11. The method of 12. An apparatus for nulling the quadrature in an angular rate sensor having a dither mass and a proof mass, the apparatus comprising:
the proof mass having a first and second end, the first end being connected to the dither mass and the second end having a scalloped edge; a source of bias voltage applied to the proof mass; and a source of d.c. control voltage applied to electrodes adjacent to the scalloped edge of the proof mass for providing a restoring force to the proof mass which is in phase with its dither displacement. 13. The apparatus of 14. The apparatus of 15. The apparatus of 16. The method of 17. An apparatus for nulling the quadrature in a coriolis angular rate sensor, comprising:
a dither mass flexurally mounted within a frame for vibrating; a proof mass mounted to said dither base by a flexure for oscillating at a predetermined frequency; a source of bias voltage applied to the proof mass; and a source of d.c. control voltage applied to electrodes adjacent to the proof mass for providing a restoring force to the oscillating proof mass which is in phase with its displacement. 18. The apparatus of 19. The apparatus of 20. The apparatus of 21. The apparatus of 22. A method for nulling quadrature in an angular rate sensor having a dither mass within an X-Y plane and a proof mass mounted within the dither mass for rotational movement about a Z axis of the X-Y plane, the steps of the method comprising:
applying vibration driving signals to the dither mass to vibrate the dither mass and the proof mass at a combined resonant frequency about the Z axis; and applying a restoring force to the proof mass which is in phase with its dithered displacement. 23. The method of 24. The method of 25. The method of applying a bias voltage to the proof mass;
applying a plus or minus control voltage to electrodes adjacent to the proof mass; and
adjusting the control voltage to null the quadrature.
26. The method of 27. The method of 28. The method of 29. The method of applying a bias voltage to the proof mass;
applying a plus or minus d.c. control voltage to electrodes adjacent to the scalloped edge of the proof mass; and
adjusting the d.c. control voltage to null the quadrature.
30. The method of 31. The method of 32. The method of 33. An apparatus for nulling the quadrature in an angular rate sensor having a dither mass and a proof mass, the apparatus comprising:
a dither mass mounted for motion in an X-Y plane; the proof mass mounted within the dither mass for rotational movement about a Z axis of the X-Y plane; a source of bias voltage applied to the proof mass; and a source of d.c. control voltage applied to electrodes adjacent to the edge of the proof mass for providing a restoring force to the proof mass which is in phase with its dither displacement. 34. The apparatus of 35. The apparatus of 36. The apparatus of 37. The method of 38. An apparatus for nulling the quadrature in a coriolis angular rate sensor, comprising:
a dither mass flexurally mounted within a frame for vibrating in an X-Y plane; a proof mass mounted within said dither base for oscillating about a Z axis of the X-Y plane; a source of bias voltage applied to the proof mass; and a source of d.c. control voltage applied to electrodes adjacent to the proof mass for providing a restoring force to the oscillating proof mass which is in phase with its displacement. 39. The apparatus of 40. The apparatus of 41. The apparatus of 42. The apparatus of Description [0001] 1. Field of the Invention [0002] The present invention relates to an inertial instrument and more specifically pertains to vibrating accelerometers used as multi-sensors for measuring linear acceleration and rate of rotation of a moving body. [0003] 2. Description of Prior Art [0004] Gyroscopes are well known for use as angular velocity and acceleration sensors for sensing angular velocity and acceleration which information is necessary for determining location, direction, position and velocity of a moving vehicle. [0005] The present invention utilizes two masses in tandem, a dither mass and a proof mass, or pendulum. Each mass has only a single degree of freedom. It is desired to have the dither mass move along an axis that is parallel to the plane of the housing. The driving forces on the dither mass causing its vibration do not act directly on the pendulum. These forces, however cause the dither mass to move out of the plane of the housing due to dither beam misalignments. This out-of-plane motion generates error signals which are in quadrature with the signals generated by rate inputs. Therefore, a high degree of phase discrimination is required to separate the rate signal from the quadrature signal. This invention uses a new quadrature nulling technique which eliminates the requirement for accurate phase and relaxes control of the dither beam alignment tolerances which generate out of plane motion. The present invention applies vibration driving signals to the dither mass to vibrate the dither mass and the proof mass at a combined resonant frequency, and applies a restoring force to the proof mass which is in phase with its dithered displacement. In an alternate embodiment, vibration driving signals are applied to the dither mass to vibrate the dither mass and proof mass which are in an X-Y plane at a combined resonant frequency about the Z axis of the X-Y plane. A restoring torque is applied to the proof mass which is in phase with its dithered displacement. [0006] The exact nature of this invention as well as its objects and advantages will become readily apparent from consideration of the following specification in relation to the accompanying drawings in which like reference numerals designate like parts throughout the figures thereof and wherein: [0007]FIG. 1 is a top plane view of the driven and sensing element of an accelerometer according to the present invention; [0008]FIG. 2 is a cross-section of the quadrature nulling projection on the end of the pendulum of FIG. 4; [0009]FIG. 3 is a diagrammatic illustration of the functional relationship of portions of the accelerometer of FIG. 1 and FIG. 4; [0010]FIG. 4 is a diagrammatic illustration of the pendulum and dither mass or vibrating structure of the present invention; [0011]FIG. 5 is a top plan view of an alternate configuration for the proof mass and dither mass of the present invention; [0012]FIG. 6 is a partial broken-away perspective of the configuration of FIG. 5 showing the relationship between the disc-shaped proof mass and the ring-shaped dither mass. [0013]FIG. 7 is a partial perspective showing the relationship between the proof mass of FIG. 5 with its top cover and the quadrature nulling electrodes; [0014]FIG. 8 is a top plan view of the disc-shaped proof mass with multiple teeth formed by etching grooves around its circumference; [0015]FIG. 9 is a left side plan view showing the edge of the disc-shaped proof mass between its top and bottom covers, each cover containing quadrature nulling electrodes; and [0016]FIG. 10 is a right side plan view showing the edge of the disc-shaped proof mass between its top and bottom covers, each cover containing quadrature nulling electrodes. [0017] The accelerometer gyro disclosed in an application for Micromachined Silicon Gyro Using Tuned-Accelerometer having U.S. patent application Ser. No. 09/778,434 filed on Feb. 7, 2001 and assigned to the same assignee as the present application illustrates a micromachined accelerometer-gyro having a pendulous mass or proof mass suspended within a dither mass that provides improved performance as the result of a considerable decrease in manufacturing flaws that affects performance of the accelerometer gyro. [0018] The present invention goes beyond structural improvement of the proof mass and dither base assembly and the manufacture thereof by providing a means for nulling the error created from manufacturing tolerances and electronic phase uncertainty. Referring to FIG. 4, a conceptual schematic of the structure of the pendulum or proof mass [0019] If this displacement along the Y axis is differentiated twice, this acceleration is known as quadrature error. Quadrature error and Coriolis acceleration are very similar in that both are sinusoidal signals centered at the frequency of oscillation. However, quadrature error can be distinguished from Coriolis acceleration by the phase relative to the driven oscillation. [0020] A prior art approach to solving the problem presented by quadrature error is discussed in an article entitled [0021]FIG. 4 illustrates in schematic form the structure of the dither mass or vibrating structure and the proof mass or pendulum structure of the present invention. In normal operation, the dither mass [0022] As will be noted, the pendulum [0023] As shown in FIG. 1, the angular rate sensor according to the present invention is constructed to have a pendulum or sensing element [0024] The mechanical misalignment illustrated graphically in FIG. 4, along with phase error of the dither reference signal are the major source of bias instability, non-repeatability and temperature sensitivity of tuned Coriolis angular rate sensors. The present invention provides a method to servo the quadrature error signal to null. Since the servo signal is d.c., there is no resulting phase sensitivity. The result is improved bias stability, repeatability and reduced temperature sensitivity, in addition to relaxing the tolerance requirements on etching the dither beams and the tolerance requirements on the system digital electronics phase stability. The present invention is contrary to the traditional manner of controlling bias error. The traditional approach was to attempt exceptionally close tolerances on the etching of the dither beams and attempt to achieve exceptionally close system tolerances on the digital electronics phase stability circuitry. [0025] The concept of the invention is to introduce a torque to the sensing element or pendulum [0026]FIG. 2 is a diagram of a quadrature nulling forcer as envisioned by the present invention. FIG. 2 is a cross-section of the present invention taken through the region containing the top electrodes [0027] The top electrodes [0028] In operation, the quadrature nulling forcer exerts a force as depicted in the graph of FIG. 3. Assuming that the quadrature acceleration is in phase with displacement of the sensing element (pendulum [0029] In operation, a closed loop servo system (not shown), of a type well known in the art is utilized to adjust the control voltages v on the upper electrodes and lower electrodes to null the quadrature portion of the sensing element pickoff. Because this control voltage is d.c., there is no phase instability. Referring to FIG. 4, this means that the quadrature control [0030] This quadrature error nulling method is possible because the two masses in operation in the present rate sensor structure are in tandem, with each mass having only a single degree of freedom. In other words, the dither mass [0031] An alternate preferred embodiment of the present invention is shown in FIGS. [0032] Referring first to FIGS. 5 and 6, which shows the general relationship between the disc-like proof mass [0033] The ring-like dither mass [0034]FIG. 6 is a three-dimensional partially broken away perspective showing the relationship of the proof mass [0035] Shown partially broken away is the bottom cover [0036] Also located in the bottom cover [0037] The quadrature nulling electrodes [0038] In operation, while the ring-like dither mass [0039] Because of manufacturing tolerances, the Z dither axis [0040]FIGS. 8, 9, and [0041]FIGS. 8, 9, and [0042] As the dither mass moves from this null position in a positive direction causing the proof mass [0043] When the dither mass goes into a negative direction causing proof mass [0044] These oscillating forces, F [0045] The cancellation of the torque generated about the torsion bar Y axis Referenced by
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