Force to Rebalance Control of HRG and Suppression of Its Errors on the Basis of FPGA

A novel design of force to rebalance control for a hemispherical resonator gyro (HRG) based on FPGA is demonstrated in this paper. The proposed design takes advantage of the automatic gain control loop and phase lock loop configuration in the drive mode while making full use of the quadrature control loop and rebalance control loop in controlling the oscillating dynamics in the sense mode. First, the math model of HRG with inhomogeneous damping and frequency split is theoretically analyzed. In addition, the major drift mechanisms in the HRG are described and the methods that can suppress the gyro drift are mentioned. Based on the math model and drift mechanisms suppression method, four control loops are employed to realize the manipulation of the HRG by using a FPGA circuit. The reference-phase loop and amplitude control loop are used to maintain the vibration of primary mode at its natural frequency with constant amplitude. The frequency split is readily eliminated by the quadrature loop with a DC voltage feedback from the quadrature component of the node. The secondary mode response to the angle rate input is nullified by the rebalance control loop. In order to validate the effect of the digital control of HRG, experiments are carried out with a turntable. The experimental results show that the design is suitable for the control of HRG which has good linearity scale factor and bias stability.

[1]  Craig A. Rogers,et al.  THE INFLUENCE OF CONTROL SYSTEM DESIGN ON THE PERFORMANCE OF VIBRATORY GYROSCOPES , 2002 .

[2]  V. E. Dzhashitov,et al.  Mathematical models of the thermoelastic stress-strain state, temperature, and technological errors of a wave solid-state sensor of inertial informations of Inertial Information , 2010 .

[3]  Philip Wayne Loveday,et al.  Analysis and Compensation of Imperfection Effects in Piezoelectric Vibratory Gyroscopes , 1999 .

[4]  V. E. Dzhashitov,et al.  Mathematical Models of the Thermoelastic Stress-Strain State, Temperature, and Technological Errors of a Wave SolidState Sensor of Inertial Information , 2010 .

[5]  Colin H. J. Fox Vibrating cylinder rate gyro - Theory of operation and error analysis , 1988 .

[6]  G. M. Vinogradov,et al.  Strapdown inertial navigation system based on a hemispherical resonance gyro , 2010 .

[7]  Michael Y. Shatalov,et al.  Dynamics of rotating and vibrating thin hemispherical shell with mass and damping imperfections and parametrically driven by discrete electrodes , 2011 .

[8]  V. Ph. Zhuravlev,et al.  Effect of movability of the resonator center on the operation of a hemispherical resonator gyro , 2007 .

[9]  Yu. K. Zhbanov Amplitude control contour in a hemispherical resonator gyro with automatic compensation for difference in Q-factors , 2008 .

[10]  Sung Kyung Hong,et al.  Oscillation Control Algorithms for Resonant Sensors with Applications to Vibratory Gyroscopes , 2009, Sensors.

[11]  E. J. Loper,et al.  Projected performance of smaller hemispherical resonator gyros , 1986 .

[12]  P. Loveday,et al.  Modification of piezoelectric vibratory gyroscope resonator parameters by feedback control , 1998, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[13]  Lv Zhi-qing,et al.  Coriolis Vibratory Gyros , 2004 .

[14]  M. Shatalov,et al.  The influence of mass imperfections on the evolution of standing waves in slowly rotating spherical bodies , 2011 .

[15]  W. W. Stripling,et al.  Hemispherical resonator gyro: Principle, design, and performance , 1992 .

[16]  Anthony D. Matthews,et al.  Hemispherical resonator gyro for precision pointing applications , 1995, Defense, Security, and Sensing.

[17]  Sungsu Park Adaptive Control of a Vibratory Angle Measuring Gyroscope , 2010, Sensors.