This paper investigates the design of a self-oscillation loop for the gyroscope system. The dynamic equations describing this system are analyzed using the method of averaging, and a criterion for selecting the circuit parameters is established based on the analysis. The validity of the criterion and the effectiveness of the control scheme are verified by the experimental results obtained from the control parameters that satisfy or violate the stability criterion. The performance of the self-oscillation loop with a z-axis gyroscope is also evaluated in light of the experimental results. The self-oscillation loop based on the auto gain control scheme effectively tracks the resonance frequency of a z-axis gyroscope. This frequency corresponds to a standard Allan variance of 0.04 Hz in 8 min at natural frequency. The output signal-to-noise ratio (SNR) is about 90 dB, and the vibratory velocity amplitude shows a deviation of 0.5% in 8 min.

References

References
1.
Park
,
S.
, and
Horowitz
,
R.
, 2003, “
Adaptive Control for the Conventional Mode of Operation of MEMS Gyroscopes
,”
J. Microelectromech. Syst.
,
12
(
1
), pp.
101
108
.
2.
Batur
,
C.
,
Sreeramreddy
,
T.
, and
Khasawneh
,
Q.
, 2006, “
Sliding Mode Control of a Simulated MEMS Gyroscope
,”
ISA Trans.
,
45
(
1
), pp.
99
108
.
3.
Fei
,
J.
, and
Batur
,
C.
, 2009, “
Robust Adaptive Control for a MEMS Vibratory Gyroscope
,”
Int. J. Adv. Manuf. Technol.
,
42
, pp.
293
300
.
4.
Zheng
,
Q.
,
Dong
,
L.
, and
Gao
,
Z.
, 2007, “
Control and Rotation Rate Estimation of Vibrational MEMS Gyroscopes
,” Proceedings of the 16th IEEE International Conference on Control Applications Part of IEEE Multi-Conference on Systems and Control, Singapore, pp.
125
130
.
5.
Park
,
S.
,
Horowitz
,
R.
, and
Tan
,
C.-W.
, 2008, “
Dynamics and Control of a MEMS Angle Measuring Gyroscope
,”
Sens. Actuators, A
,
144
, pp.
56
63
.
6.
Sung
,
W. T.
,
Song
,
J. W.
,
Lee
,
J. G.
, and
Kang
,
T.
, 2005, “
PD Controller Design of Micro Gyroscope and Its Performance Test
,”
J. Korean Soc. Aeronaut. Space Sci.
,
33
, pp.
47
56
.
7.
Chen
,
Y.-C.
,
M’Closkey
,
R. T.
,
Tuan
,
A. I.
, and
Blaes
,
B.
, 2005, “
A Control and Signal Processing Integrated Circuit for the JPL-Boeing Micro-Machined Gyroscopes
,”
IEEE Trans. Control Syst. Technol.
,
13
(
2
), pp.
286
300
.
8.
Dong
,
Y.
, and
Kraft
,
M.
, 2007, “
Micromachined Vibratory Gyroscopes Controlled by a High-Order Bandpass Sigma-Delta Modulator
,”
IEEE Sens. J.
,
7
(
1
), pp.
59
69
.
9.
Sung
,
W.-T.
,
Kang
,
T.
, and
Lee
,
J. G.
, 2008, “
Controller Design of a MEMS Gyro-Accelerometer With a Single Proof Mass
,”
Int. J. Control Autom. Syst.
,
6
(
6
), pp.
873
883
, http://www.ijcas.com/admin/paper/files/IJCAS_v6_n6_pp.873-883.pdf.
10.
M’Closkey
,
R. T.
,
Vakakis
,
A.
, and
Gutierrez
,
R.
, 2001, “
Mode Localization Induced by a Nonlinear Control Loop
,”
Nonlinear Dyn.
,
25
, pp.
221
236
.
11.
Sung
,
W.-T.
,
Sung
,
S.
, and
Lee
,
J. G.
,
et al.
, 2007, “
Design and Performance Test of a MEMS Vibratory Gyroscope With a Novel AGC Force Rebalance Control
,”
J. Micromech. Microeng.
,
17
, pp.
1939
1948
.
12.
Zhan-Fei
,
W.
,
Wen-Gao
,
L.
,
Feng
,
L. I.
, and
Zhi-Hong
,
L.
, 2008, “
Theoretical Analysis and Numerical Simulation of Closed Loop Self Oscillation System for MEMS Vibratory Gyroscopes
,”
Chin. J. Sens. Actuators
,
21
(
8
), pp.
1337
1342
.
13.
Sun
,
X.
,
Horowitz
,
R.
, and
Komvopoulos
,
K.
, 2002, “
Stability and Resolution Analysis of a Phase-Locked Loop Natural Frequency Tracking System for MEMS Fatigue Testing
,”
ASME J. Dyn. Syst., Meas., Control
,
12
, pp.
599
605
.
14.
Zhou
,
H.
,
Tang
,
H.-L.
,
Su
,
W.
, and
Liu
,
X.
, 2010, “
Robust Design of a MEMS Gyroscope Considering the Worst-case Tolerance
,” Proceedings of the 2010 5th IEEE International Conference on Nano/Micro Engineered and Molecular Systems, Xiamen, China, pp.
1009
1013
.
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