A digital signal processing-based control system for a micro-electromechanical systems vibrating gyroscope with parametric amplification and force rebalance control

This article reports a digital signal processing-based digital implementation of a micro-ring gyroscope control system that can be programmed to operate in open loop with parametric amplification or closed loop with force rebalance control according to bandwidth and dynamic range requirements. Parametric amplification is directly applied to the secondary mode and amplifies the Coriolis response by an order of magnitude. In order to improve the dynamic range and bandwidth performance of the gyroscope, force rebalance control loops are designed for the vibrations both in-phase and in quadrature with the Coriolis response. Experimental results show parametric amplification of the Coriolis response by a factor of 11 and correspond to an improvement in the signal-to-noise ratio by a factor of 9.5. The effectiveness of the force rebalance control is shown experimentally, and both the measurement bandwidth and the dynamic range have increased beyond the test capability of the rate table.

[1]  Zhongxu Hu,et al.  An experimental study of high gain parametric amplification in MEMS , 2010 .

[2]  Farrokh Ayazi,et al.  Micromachined inertial sensors , 1998, Proc. IEEE.

[3]  R.T. M'Closkey,et al.  Analysis of a microsensor automatic gain control loop , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[4]  Zhongxu Hu,et al.  A parametrically amplified MEMS rate gyroscope , 2011 .

[5]  Taesam Kang,et al.  Controller Design of a MEMS Gyro-Accelerometer with a Single Proof Mass , 2008 .

[6]  Lili Dong,et al.  A disturbance rejection-based control system design for Z-axis vibratory rate gyroscopes , 2008 .

[7]  R. M'Closkey,et al.  Modeling, identification, and control of micro-sensor prototypes , 2004, Proceedings of the 2004 American Control Conference.

[8]  Vladislav Apostolyuk Theory and Design of Micromechanical Vibratory Gyroscopes , 2006 .

[9]  Edmond Cretu,et al.  Parametric resonance: Amplification and damping in MEMS gyroscopes , 2012 .

[10]  T. Gabrielson Mechanical-thermal noise in micromachined acoustic and vibration sensors , 1993 .

[11]  Frank L. Lewis,et al.  Open-loop versus closed-loop control of MEMS devices: choices and issues , 2005 .

[12]  R. Oboe,et al.  Control of a Z-axis MEMS vibrational gyroscope , 2004, The 8th IEEE International Workshop on Advanced Motion Control, 2004. AMC '04..

[13]  T. Kippenberg,et al.  Parametric normal-mode splitting in cavity optomechanics. , 2008, Physical review letters.

[14]  Jeffrey A. Neasham,et al.  Experimental investigation of parametric and externally forced motion in resonant MEMS sensors , 2008 .

[15]  Arvind Raman,et al.  Theoretical basis of parametric-resonance-based atomic force microscopy , 2009 .

[16]  Barry Gallacher,et al.  Principles of a three-axis vibrating gyroscope , 2001 .

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

[18]  Barry Gallacher,et al.  A control scheme for a MEMS electrostatic resonant gyroscope excited using combined parametric excitation and harmonic forcing , 2006 .

[19]  D. Rugar,et al.  Mechanical parametric amplification and thermomechanical noise squeezing. , 1991, Physical review letters.

[20]  Sangkyung Sung,et al.  Design and performance test of a MEMS vibratory gyroscope with a novel AGC force rebalance control , 2007 .

[21]  J. Hedley,et al.  Electrostatic correction of structural imperfections present in a microring gyroscope , 2005, Journal of Microelectromechanical Systems.