An Integrated MEMS Gyroscope Array with Higher Accuracy Output

In this paper, an integrated MEMS gyroscope array method composed of two levels of optimal filtering was designed to improve the accuracy of gyroscopes. In the first-level filtering, several identical gyroscopes were combined through Kalman filtering into a single effective device, whose performance could surpass that of any individual sensor. The key of the performance improving lies in the optimal estimation of the random noise sources such as rate random walk and angular random walk for compensating the measurement values. Especially, the cross correlation between the noises from different gyroscopes of the same type was used to establish the system noise covariance matrix and the measurement noise covariance matrix for Kalman filtering to improve the performance further. Secondly, an integrated Kalman filter with six states was designed to further improve the accuracy with the aid of external sensors such as magnetometers and accelerometers in attitude determination. Experiments showed that three gyroscopes with a bias drift of 35 degree per hour could be combined into a virtual gyroscope with a drift of 1.07 degree per hour through the first-level filter, and the bias drift was reduced to 0.53 degree per hour after the second-level filtering. It proved that the proposed integrated MEMS gyroscope array is capable of improving the accuracy of the MEMS gyroscopes, which provides the possibility of using these low cost MEMS sensors in high-accuracy application areas.

[1]  G. Schmidt,et al.  Inertial sensor technology trends , 2001 .

[2]  Quang M. Lam,et al.  Enhancing MEMS sensors accuracy via random noise characterization and calibration , 2004, SPIE Defense + Commercial Sensing.

[3]  Quang M. Lam,et al.  Gyro Modeling and Estimation of Its Random Noise Sources , 2003 .

[4]  R.C. Hayward,et al.  Design of multi-sensor attitude determination systems , 2004, IEEE Transactions on Aerospace and Electronic Systems.

[5]  D. Gebre-Egziabher,et al.  A gyro-free quaternion-based attitude determination system suitable for implementation using low cost sensors , 2000, IEEE 2000. Position Location and Navigation Symposium (Cat. No.00CH37062).

[6]  J. Levine,et al.  Smart clock: a new time , 1992, [1992] Conference Record IEEE Instrumentation and Measurement Technology Conference.

[7]  Wilmar Hernandez,et al.  Robust Multivariable Estimation of the Relevant Information Coming from a Wheel Speed Sensor and an Accelerometer Embedded in a Car under Performance Tests , 2005, Sensors (Basel, Switzerland).

[8]  Q. Zhou,et al.  Application of MIMU/magnetometer integrated system on the attitude determination of micro satellite , 2004, 2004 International Conference on Intelligent Mechatronics and Automation, 2004. Proceedings..

[9]  A. Kourepenis,et al.  Error sources in in-plane silicon tuning-fork MEMS gyroscopes , 2006, Journal of Microelectromechanical Systems.

[10]  Mohinder S. Grewal,et al.  Kalman Filtering: Theory and Practice Using MATLAB , 2001 .

[11]  D. Cardarelli An integrated MEMS inertial measurement unit , 2002, 2002 IEEE Position Location and Navigation Symposium (IEEE Cat. No.02CH37284).

[12]  Naser El-Sheimy,et al.  Inertial Sensors Errors Modeling Using Allan Variance , 2003 .

[13]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[14]  Michael J. Caruso,et al.  Applications of Magnetoresistive Sensors in Navigation Systems , 1997 .

[15]  Quang Lam,et al.  Analysis and Design of a Fifteen State Stellar Inertial Attitude Determination System , 2003 .

[16]  Joonyeop Lee,et al.  A gyroscope array with linked-beam structure , 2001, Technical Digest. MEMS 2001. 14th IEEE International Conference on Micro Electro Mechanical Systems (Cat. No.01CH37090).