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An extended Kalman filter for quaternion-based orientation estimation using MARG sensors

Marins, J.L., Xiaoping Yun, Bachmann, E.R., McGhee, R.B., Zyda, M.J.·2002·Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180)

Abstract

Presents an extended Kalman filter for real-time estimation of rigid body orientation using the newly developed MARG (magnetic, angular rate, and gravity) sensors. Each MARG sensor contains a three-axis magnetometer, a three-axis angular rate sensor, and a three-axis accelerometer. The filter represents rotations using quaternions rather than Euler angles, which eliminates the long-standing problem of singularities associated with attitude estimation. A process model for rigid body angular motions and angular rate measurements is defined. The process model converts angular rates into quaternion rates, which are integrated to obtain quaternions. The Gauss-Newton iteration algorithm is utilized to find the best quaternion that relates the measured accelerations and earth magnetic field in the body coordinate frame to calculated values in the earth coordinate frame. The best quaternion is used as part of the measurements for the Kalman filter. As a result of this approach, the measurement equations of the Kalman filter become linear, and the computational requirements are significantly reduced, making it possible to estimate orientation in real time. Extensive testing of the filter with synthetic data and actual sensor data proved it to be satisfactory. Test cases included the presence of large initial errors as well as high noise levels. In all cases the filter was able to converge and accurately track rotational motions.

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Metadata

Authors
Marins, J. L., Yun, X., Bachmann, E. R., McGhee, R. B., & Zyda, M. J.
Venue
Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180)
Publisher
IEEE
Published
2002-11-13
Volume
4
Pages
2003-2011
OpenAlex
W2122093596
Cited by
499
References
8
FWCI
12.55
Type
conference paper
Language
en
Open access
closed

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CoChat. (2026). Citation check: An extended Kalman filter for quaternion-based orientation estimation using MARG sensors. https://app.cochat.ai/papers/10.1109/iros.2001.976367
The paper
Marins, J. L., Yun, X., Bachmann, E. R., McGhee, R. B., & Zyda, M. J. (2002). An extended Kalman filter for quaternion-based orientation estimation using MARG sensors. Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180). https://doi.org/10.1109/iros.2001.976367

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