Optimal attitude estimation and filtering without using local coordinates part I: Uncontrolled and deterministic attitude dynamics

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 5734-5739

  Sanyal, Amit K ^a  

^a Arizona State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR VELOCITY; CONSTRAINT THEORY; EULER EQUATIONS; MEASUREMENT ERRORS; OPTIMIZATION;

ESTIMATION ALGORITHMS; GEOMETRIC MECHANICS; KINEMATIC SINGULARITIES; QUATERNION REPRESENTATION;

PARAMETER ESTIMATION;

EID: 34047217558     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2006.1657639     Document Type: Conference Paper

References (20)

1. Bar-Itzhack, I. Y., and Oshman, Y. (1985). Attitude determination from vector observations: quaternion estimation. IEEE Transactions on Aerospace and Electronic Systems, 21(1), 128-136.
2. Barshan, B. and Durrant-Whyte, H. F. (1995). Inertial navigation systems for mobile robots. IEEE Transactions on Robotics and Automation, 11(3), 328-342.
3. Bloch, A. M., Baillieul, J., Crouch, P. E., and Marsden, J. E. (2003). Nonholonomic Mechanics and Control, Vol. 24 of Series in Interdisciplinary Applied Mathematics, Springer Verlag, New York.
4. Bloch, A. M., Crouch, P. E., and Sanyal, A. K. (2005). A variational problem on stiefel manifolds, submitted to Nonlinearity, preprint at http://math.la.asu.edu/~sanyal/research/research.html.
5. Crassidis, J. L., and Junkins, J. L. (2004). Optimal Estimation of Dynamic Systems, CRC Press, Boca Raton, FL.
6. Crassidis, J. L., and Markley, F. L. (1997). A minimum model error approach for attitude estimation. Journal of Guidance, Control and Dynamics, 20(6), 1241-1247.
7. Goldstein, H. (1980). Classical Mechanics, Second edition, Addison-Wesley, Boston, MA.
8. Greenwood, D. T. (1987). Classical Dynamics, Second edition, Prentice Hall, Englewood Cliffs, NJ.
9. Hairer, E., Lubich, C., and Wanner, G. (2002). Geometric Numerical Integration, Springer-Verlag, Berlin.
10. Lee, T., Leok, M., and McClamroch, N. H. (2005). "A Lie Group Variational Integrator for the Attitude Dynamics of a Rigid Body with Applications to the 3D Pendulum," Proceedings of the IEEE Conference on Control Applications, 962-967.
11. Marsden, J. E. and Ratiu, T. S. (1999). Introduction to Mechanics and Symmetry, Second edition, Springer-Verlag, New York.
12. Markley, F. L. (1989). Attitude determination and parameter estimation using vector observations: theory. Journal of the Astronautical Sciences, 37(1), 41-58.
13. Milnor, J. (1963). Morse Theory, Princeton University Press, Princteon, NJ.
14. Psiaki, M. L. (2000). Attitude-determination filtering via extended quaternion estimation. AIAA Journal of Guidance, Control, and Dynamics, 23(2), 206-214.
15. Rehbinder, H., and Hu, X. (2004). Drift-free attitude estimation for accelerated rigid bodies. Automatica, 40(4), 653-659.
16. Roumeliotis, S. I., Sukhatme, G. S., and Bekey, G. A. (1999). Smoother based 3D attitude estimation for mobile robot localization. In Proceedings of 1999 IEEE International Conference on Robotics and Automation, Vol. 3, Detroit, MI (pp. 1979-1986).
17. Shuster, M. D., and Oh, S. D. (1981). Three-axis attitude determination from vector observations. Journal of Guidance and Control, 4(1), 70-77
18. Shuster, M. D. (1990). Kalman filtering of spacecraft attitude and the QUEST model. Journal of the Astronautical Sciences, 38(3), 377-393.
19. Vaganay, J., Aldon, M. J., and Fournier, A. (1993). Mobile robot attitude estimation by fusion of inertial data. In Proceedings of the 1993 IEEE International Conference on Robotics and Automation, Vol. 1, Atlanta, GA, (pp. 277-282).
20. Wahba, G. (1965). A least squares estimate of satellite attitude. SIAM Review, 7(3), 409.