E. Tasdemir, L. Kurz, and T. G. Noll, Efficient computation of the position, velocity and time estimation algorithm on a GNSS processor using interpolation, Satellite Navigation Technologies and European Workshop on Gnss Signals and Signal Processing IEEE, pp.1-7, 2012.

Z. Zhou, Y. Li, J. Zhang, and C. Rizos, Integrated navigation system for a low-cost quadrotor aerial vehicle in the presence of rotors influences, Journal of Surveying Engineering, vol.143, issue.1, 2017.

K. R. Britting, Inertial navigation system analysis, Avionics, 1971.

E. M. Hemerly, B. C. Maciel, A. D. Milhan, and V. R. Schad, Attitude and heading reference system with acceleration compensation, Aircraft Engineering and Aerospace Technology, vol.84, issue.2, pp.87-93, 2012.

Y. Wang, N. Li, X. Chen, and M. Liu, Design and implementation of an AHRS based on MEMS sensors and complementary filtering, Advances in Mechanical Engineering, pp.1-11, 2014.

P. Batista, C. Silvestre, P. Oliveira, and C. Cardeira, Low-cost Attitude and Heading Reference System: Filter design and experimental evaluation, IEEE International Conference on Robotics and Automation, pp.2624-2629, 2010.

Z. Zhou, J. Wu, J. Wang, and H. Fourati, Optimal Recursive and Sub-Optimal Linear Solutions to Attitude Determination from Vector Observations for GNSS/Accelerometer/Magnetometer Orientation Measurement, Remote sensing, vol.10, issue.3, p.377, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01722260

Y. S. Suh, Orientation estimation using a quaternion-based indirect kalman filter with adaptive estimation of external acceleration, IEEE Transactions on Instrumentation and Measurement, vol.59, issue.12, pp.3296-3305, 2010.

J. Thienel and R. M. Sanner, A coupled nonlinear spacecraft attitude controller/observer with an unknown constant gyro bias, Decision and Control, vol.4, pp.3441-3446, 2001.

J. Wu, Z. Zhou, J. Chen, H. Fourati, and R. Li, Fast Complementary Filter for Attitude Estimation Using Low-Cost MARG Sensors, IEEE Sensors Journal, vol.16, issue.18, pp.6997-7007, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01368473

L. Wang, L. Fu, and X. Hu, A nonlinear complementary filter approach for MAV 3D-attitude estimation with low-cost MARG/ADS. Position, Location and Navigation Symposium IEEE, pp.42-47, 2016.

S. Merhav, Aerospace Sensor Systems and Applications, vol.9, 1998.

Z. Zhou, Y. Li, J. Liu, and G. Li, Equality constrained robust measurement fusion for adaptive Kalman filter based heterogeneous multi-sensor navigation, IEEE Transactions on Aerospace and Electronic Systems, vol.49, issue.4, pp.2146-2157, 2013.

R. Kandepu, B. Foss, and L. Imsland, Applying the unscented Kalman filter for nonlinear state estimation, Journal of Process Control, vol.18, pp.753-768, 2008.

J. L. Marins, X. Yun, E. R. Bachmann, and R. B. Mcghee, An extended Kalman filter for quaternion-based orientation estimation using MARG sensors, International Conference on Intelligent Robots and Systems, vol.4, 2001.
DOI : 10.1109/iros.2001.976367
URL : https://calhoun.nps.edu/bitstream/10945/41567/1/IROS2001.pdf

Z. Zhou, J. Wu, Y. Li, C. Fu, and H. Fourati, Critical issues on Kalman filter with colored and correlated system, Asian Journal of Control, vol.20, issue.1, pp.1-15, 2018.
DOI : 10.1002/asjc.1545
URL : https://hal.archives-ouvertes.fr/hal-01496860

Y. Tian, W. He, and J. Tan, An adaptive-gain complementary filter for real-time human motion tracking with MARG sensors in free-living environments, IEEE Transactions on Neural Systems and Rehabilitation Engineering, pp.254-264, 2013.
DOI : 10.1109/tnsre.2012.2205706

F. Liu, J. Li, H. Wang, and C. Liu, An improved quaternion GaussC Newton algorithm for attitude determination using magnetometer and accelerometer, China J. Aeronautics, vol.27, issue.4, pp.986-993, 2014.
DOI : 10.1016/j.cja.2014.03.005
URL : https://doi.org/10.1016/j.cja.2014.03.005

G. Wahba, A Least Squares Estimate of Satellite Attitude, J]. Siam Review, vol.7, issue.3, pp.409-409, 1965.
DOI : 10.1137/1007077

D. Roetenberg, H. J. Luinge, C. T. Baten, and P. Veltink, Compensation of magnetic disturbances improves inertial and magnetic sensing of human body segment orientation, IEEE Transactions on Neural Systems and Rehabilitation Engineering A Publication of the IEEE Engineering in Medicine and Biology Society, vol.13, issue.3, p.395, 2005.
DOI : 10.1109/tnsre.2005.847353
URL : http://www.eecs.harvard.edu/~konrad/projects/thesis/relatedWork/spaulding/CompensationOfMagneticDisturbancesImprovesInertialAndMagnetic.pdf

C. Zhao, Design of an Angular-Rate Compensation Based Strap-down Antenna Stabilization System. Electronics Optics and Control, 2010.

S. Mike, Building a virtual gyro, 2013.

D. Choukroun, I. Y. Bar-itzhack, and Y. Oshman, Novel quaternion kalman filter, Aerospace and Electronic Systems IEEE Transactions on, vol.42, pp.174-190, 2002.
DOI : 10.1109/taes.2006.1603413
URL : https://cloudfront.escholarship.org/dist/prd/content/qt16m98742/qt16m98742.pdf

F. L. Markley, Attitude determination from vector observations: A fast optimal matrix algorithm, J. Astron. Sci, vol.41, issue.2, pp.261-280, 1993.

M. D. Shuster and S. Oh, Three-axis attitude determination from vector observations, J Guidance Control Dynam, vol.4, issue.1, pp.70-77, 1981.

J. Vasconcelos, R. Cunha, C. Silvestre, and P. Oliveira, Stability of a nonlinear attitude observer on SO(3) with nonideal angular velocity measurements, Control Conference. IEEE, pp.2769-2774, 2009.
DOI : 10.23919/ecc.2009.7074826

J. Wu, Z. Zhou, B. Gao, R. Li, Y. Cheng et al., Fast Linear Quaternion Attitude Estimator Using Vector Observations, IEEE Transactions on Automation Science and Engineering, vol.15, issue.1, pp.307-319, 2018.
DOI : 10.1109/tase.2017.2699221
URL : https://hal.archives-ouvertes.fr/hal-01513263

M. J. Caruso, Applications of magnetic sensors for low cost compass systems. Position Location and Navigation Symposium, pp.177-184, 2002.
DOI : 10.1109/plans.2000.838300

G. Welch and G. Bishop, An Introduction to the Kalman Filter, 2001.

J. F. Vasconcelos, R. Cunha, and C. Silvestre, A nonlinear position and attitude observer on SE(3) using landmark measurements, Systems and Control Letters, vol.59, issue.3, pp.155-166, 2010.
DOI : 10.1016/j.sysconle.2009.11.008

H. Fourati, L. A. Manamanni, and Y. Handrich, A nonlinear ?ltering approach for the attitude and dynamic body acceleration estimation based on inertial and magnetic sensors: Bio-logging application, IEEE Sensors Journal, vol.11, issue.1, pp.233-244, 2011.
DOI : 10.1109/jsen.2010.2053353
URL : http://hal.inria.fr/docs/00/62/41/42/PDF/Papier_IEEE_Sensors_Journal.pdf

H. Fourati, N. Manamanni, L. A. Handrich, and Y. , Complementary observer for body segments motion capturing by inertial and magnetic sensors, IEEE/ASME Trans. Mechatronics, vol.19, issue.1, pp.149-157, 2014.
DOI : 10.1109/tmech.2012.2225151
URL : https://hal.archives-ouvertes.fr/hal-00690145

S. Park and S. K. Hong, Angular rate estimation using a distributed set of accelerometers, Sensors, vol.11, issue.11, pp.10444-10457, 2011.
DOI : 10.3390/s111110444
URL : https://www.mdpi.com/1424-8220/11/11/10444/pdf

C. Liu, S. Yu, S. Zhang, X. Yuan, and S. Liu, An effective unscented Kalman filter for state estimation of a gyro-free inertial measurement unit. Position, Location and Navigation Symposium-PLANS, pp.230-235, 2014.
DOI : 10.1109/plans.2014.6851380