Kalman-filter-based orientation determination using inertial/magnetic sensors: Observability analysis and performance evaluation

Sensors

Volumn 11, Issue 10, 2011, Pages 9182-9206

  Sabatini, Angelo Maria ^a  

^a SCUOLA SUPERIORE SANT ANNA   (Italy)

Author keywords

Ambulatory human motion tracking; Extended kalman filter; Inertial measurement unit; Lie derivatives; Observability of nonlinear systems; Orientation determination

Indexed keywords

ALGORITHM; ARTICLE; COMPUTER SIMULATION; EVALUATION; HUMAN; INSTRUMENTATION; MAGNETISM; METHODOLOGY; MONTE CARLO METHOD; ORIENTATION; TIME;

ALGORITHMS; COMPUTER SIMULATION; EVALUATION STUDIES AS TOPIC; HUMANS; MAGNETICS; MONTE CARLO METHOD; ORIENTATION; TIME FACTORS;

EID: 80055009312     PISSN: 14248220     EISSN: None     Source Type: Journal    
DOI: 10.3390/s111009182     Document Type: Article

References (33)

1. Welch, G.F.; Foxlin, E. Motion tracking: No silver bullet, but a respectable arsenal. IEEE Comput. Graph. Appl. 2002, 22, 24-38.
2. Sabatini, A.M. Quaternion-based extended Kalman filter for determining orientation by inertial and magnetic sensing. IEEE Trans. Biomed. Eng. 2006, 53, 1346-1356.
3. Yun, X.; Bachmann, E.R.; McGhee, R.B. A simplified quaternion-based algorithm for orientation estimation from earth gravity and magnetic field measurements. IEEE Trans. Instrum. Meas. 2008, 57, 638-650.
4. Lee, J.K.; Park, E.J. A Fast quaternion-based orientation optimizer via virtual rotation for human motion tracking. IEEE Trans. Biomed. Eng. 2009, 56, 1574-1582.
5. Veltink, P.H.; Bussmann, H.B.J.; de Vries, W.H.K.; Martens, W.L.J.; van Lummel, R.C. Detection of static and dynamic activities using uniaxial accelerometers. IEEE Trans. Rehabil. Eng. 1996, 4, 375-385.
6. Bachmann, E.R.; Yun, X.; Peterson, C.W. An investigation of the effects of magnetic variations on inertial/magnetic orientation sensors. In Proceedings of IEEE International Conference on Robotics and Automation (ICRA '04), New Orleans, LA, USA, 26 April-1 May 2004; pp. 1115-1122.
7. de Vries, W.H.K.; Veeger, H.E.J.; Baten, C.T.M.; van der Helm, F.C.T. Magnetic distortion in motion labs, implications for validating inertial magnetic sensors. Gait Posture 2009, 29, 535-541.
8. Sabatini, A.M. Estimating three-dimensional orientation of human body parts by inertial/magnetic sensing. Sensors 2011, 11, 1489-1525.
9. Gallagher, A.; Matsuoka, Y.; Wei-Tech, A. An efficient real-time human posture tracking algorithm using low-cost inertial and magnetic sensors. In Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2004), Sendai, Japan, 28 September-2 October 2004; pp. 2967-2972.
10. Wahba, G. A least-square estimate of spacecraft attitude. SIAM Rev. 1965, 7, 409.
11. Gebre-Egziabher, D.; Elkaim, G.H.; Powell, J.D.; Parkinson, B.W. A gyro-free quaternion-based attitude determination system suitable for implementation using low cost sensors. In Proceedings of IEEE Position Location and Navigation Symposium (PLANS '00), San Diego, CA, USA, 13-16 March 2000; pp. 185-192.
12. Markley, F.L. Attitude determination and parameter estimation using vector observations: Theory. J. Astronaut. Sci. 1989, 37, 41-58.
13. Welch, G.F. The use of the Kalman filter for human motion tracking in virtual reality. Presence 2009, 18, 72-91.
14. Brown, R.G.; Hwang, P.Y.C. Introduction to Random Signals and Applied Kalman Filtering; John Wiley & Sons: New York, NY, USA, 1997.
15. Foxlin, E. Inertial head-tracker sensor fusion by a complementary separate-bias Kalman filter. In Proceedings of IEEE Virtual Reality Annual International Symposium, Santa Clara, CA, USA, 30 March-3 April 1996; pp. 185-194.
16. Luinge, H.J.; Veltink, P.H. Inclination measurement of human movement using a 3-D accelerometer with autocalibration. IEEE Trans. Neur. Syst. Rehabil. Eng. 2004, 12, 112-121.
17. Roetenberg, D.; Luinge, H.J.; Baten, C.T.M.; Veltink, P.H. Compensation of magnetic disturbances improves inertial and magnetic sensing of human body segment orientation. IEEE Trans. Neur. Syst. Rehabil. Eng. 2005, 13, 395-405.
18. Yun, X.; Bachmann, E.R. Design, implementation, and experimental results of a quaternion-based Kalman filter for human body motion tracking. IEEE Trans. Robot. 2006, 22, 1216-1227.
19. Lefferts, E.J.; Markley, F.L.; Shuster, M.D. Kalman filtering for spacecraft attitude estimation. J. Guid. 1982, 5, 417-429.
20. Harada, T.; Mori, T.; Sato, T. Development of a tiny orientation estimation device to operate under motion and magnetic disturbance. Int. J. Rob. Res. 2007, 26, 547-559.
21. Tomé, P.; Yalak, O. Improvement of orientation estimation in pedestrian navigation by compensation of magnetic disturbances. J. Navig. 2008, 55, 179-190.
22. Foxlin, E.; Harrington, M.; Altshuler, Y. Miniature 6-DOF inertial system for tracking HMDs. SPIE Proc. 1998, 3362, 214-228.
23. Mirzaei, F.M.; Roumeliotis, S.I. A Kalman-filter-based algorithm for IMU-camera calibration: Observability analysis and performance evaluation. IEEE Trans. Robot. 2008, 24, 1143-1156.
24. Shuster, M.D. A survey of attitude representations. J. Astronaut. Sci. 1993, 41, 439-517.
25. Isidori, A. Nonlinear Control Systems; Springer Verlag: London, UK, 1995.
26. Ferraris, F.; Grimaldi, U.; Parvis, M. Procedure for effortless in-field calibration of three-axis rate gyros and accelerometers. Sens. Mater. 1995, 7, 311-330.
27. Gebre-Egziabher, D.; Elkaim, G.H.; Powell, J.D.; Parkinson, B.W. A non-linear, two-step estimation algorithm for calibrating solid-state strapdown magnetometers. In Proceedings of 8th International Conference on Navigation Systems, St. Petersburg, Russia, 28-30 May 2001.
28. Crassidis, J.L.; Markley, F.L. Unscented filtering for spacecraft attitude estimation. J. Guid. Contr. Dynam. 2003, 26, 536-542.
29. Sabatini, A.M. Quaternion-based strap-down integration method for applications of inertial sensing to gait analysis. Med. Biol. Eng. Comput. 2005, 43, 94-101.
30. Maybeck, P.S. Stochastic Models, Estimation and Control, Academic Press: New York, NY, USA, 1982.
31. Markley, F.L. Attitude error representations for Kalman filtering. J. Guid. Contr. Dynam. 2003, 26, 311-317.
32. Choukroun, D.; Bar-Itzhack, I.Y.; Oshman, Y. Novel quaternion Kalman filter. IEEE Trans. Aerosp. Electron. Syst. 2006, 41, 174-190.
33. Shuster, M.D.; Oh, S. Three-axis attitude determination from vector observations. J. Guid. Contr. 1981, 4, 70-77.