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Sensors 2012, 12(5), 5310-5327; doi:10.3390/s120505310

Angular Motion Estimation Using Dynamic Models in a Gyro-Free Inertial Measurement Unit

1,* , 2
1 Center for Sensor Systems (ZESS), University of Siegen, Paul Bonatz-Str. 9-11, 57068 Siegen, Germany 2 iMAR GmbH, St. Ingbert, Germany
* Author to whom correspondence should be addressed.
Received: 27 February 2012 / Revised: 27 March 2012 / Accepted: 23 April 2012 / Published: 26 April 2012
(This article belongs to the Section Physical Sensors)
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In this paper, we summarize the results of using dynamic models borrowed from tracking theory in describing the time evolution of the state vector to have an estimate of the angular motion in a gyro-free inertial measurement unit (GF-IMU). The GF-IMU is a special type inertial measurement unit (IMU) that uses only a set of accelerometers in inferring the angular motion. Using distributed accelerometers, we get an angular information vector (AIV) composed of angular acceleration and quadratic angular velocity terms. We use a Kalman filter approach to estimate the angular velocity vector since it is not expressed explicitly within the AIV. The bias parameters inherent in the accelerometers measurements’ produce a biased AIV and hence the AIV bias parameters are estimated within an augmented state vector. Using dynamic models, the appended bias parameters of the AIV become observable and hence we can have unbiased angular motion estimate. Moreover, a good model is required to extract the maximum amount of information from the observation. Observability analysis is done to determine the conditions for having an observable state space model. For higher grades of accelerometers and under relatively higher sampling frequency, the error of accelerometer measurements is dominated by the noise error. Consequently, simulations are conducted on two models, one has bias parameters appended in the state space model and the other is a reduced model without bias parameters.
Keywords: angular motion estimation; GF-IMU; dynamic models angular motion estimation; GF-IMU; dynamic models
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Edwan, E.; Knedlik, S.; Loffeld, O. Angular Motion Estimation Using Dynamic Models in a Gyro-Free Inertial Measurement Unit. Sensors 2012, 12, 5310-5327.

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