Unscented filtering for equality-constrained nonlinear systems

Proceedings of the American Control Conference

Volumn , Issue , 2008, Pages 39-44

  Soares Teixeira, Bruno O ^a,b   Chandrasekar, Jaganath ^b   Borges Tôrres, Leonardo A ^a   Aguirre, Luis A ^a   Bernstein, Dennis S ^b  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; ESTIMATION; KALMAN FILTERS; KNOWLEDGE BASED SYSTEMS; NONLINEAR FILTERING; NONLINEAR SYSTEMS;

ATTITUDE ESTIMATION; CONSERVED QUANTITIES; CONSTRAINED NONLINEAR SYSTEMS; EQUALITY CONSTRAINTS; ESTIMATION PROBLEMS; FLOW MODELLING; MEASUREMENT DATA; PAPER ADDRESSES; PRIOR KNOWLEDGE; SUB-OPTIMAL ALGORITHMS; UNSCENTED KALMAN FILTER;

WAVE FILTERS;

EID: 52449114499     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4586463     Document Type: Conference Paper

References (23)

1. L. A. Aguirre, M. F. S. Barroso, R. R. Saldanha, and E. M. A. M. Mendes. Imposing steady-state performance on identified nonlinear polynomial models by means of constrained parameter estimation. IEE Proc. in Control Theory and Applications, 151(2):174-179, 2004.
2. L. A. Aguirre, B. O. S. Teixeira, and L. A. B. Tôrres. Using data-driven discrete-time models and the unscented Kalman filter to estimate unobserved variables of nonlinear systems. Physical Review E, 72(2):026226, 2005.
3. J. Chandrasekar, O. Barrero, A. J. Ridley, D. S. Bernstein, and D. De Moor. State estimation for linearized MHD flow. In Proceedings of the IEEE Conference on Decision and Control, pages 2584-2589, Paradise Island, The Bahamas, 2004.
4. J. L. Crassidis and F. L. Markley. Unscented Filtering for Spacecraft Attitude Estimation. AIAA Journal of Guidance, Control, and Dynamics, 26(4):536-542, July-August 2003.
5. F. E. Daum. Nonlinear filters: Beyond the Kalman filter. IEEE Aerospace and Electronics Systems Magazine, 20(8):57-69, 2005.
6. G. C. Goodwin, M. M. Seron, and J. A. de Doná. Constrained Control and Estimation: An Optimisation Approach. Springer, 2005.
7. S. Haykin, editor. Kalman Filtering and Neural Networks. Wiley Publishing, New York - NY, USA, 2001.
8. C. Hirsch. Numerical Computation of Internal and External Flows. John Wiley & Sons, 1990.
9. A. H. Jazwinski. Stochastic Processes and Filtering Theory. Academic Press, Inc., New York - NY, USA, 1970.
10. S. J. Julier and J. J. LaViola Jr.. On Kalman filtering with nonlinear equality constraints. IEEE Transactions on Signal Processing, 55(6), 2774-2784, 2007.
11. S. J. Julier and J. K. Uhlmann. Unscented filtering and nonlinear estimation. Proceedings of the IEEE, 92:401-422, 2004.
12. S. J. Julier, J. K. Uhlmann, and Hugh F. Durrant-Whyte. A new method for the nonlinear transformation of means and covariances in filters and estimators. IEEE Transactions on Automatic Control, 45(3):477-482, 2000.
13. T. Lee, M. Leok, N. H. McClamroch, and A. Sanyal. Global attitude estimation using single direction measurements. In Proceedings of the American Control Conference, New York City - NY, USA, pp. 3659-3664, 2007.
14. T. Lefebvre, H. Bruyninckx, and J. De Schutter. Kalman filters for nonlinear systems: A comparison of performance. International Journal of Control, 77(7):639-653, May 2004.
15. C. V. Rao, J. B. Rawlings, and D. Q. Mayne. Constrained state estimation for nonlinear discrete-time systems: Stability and moving horizon approximations. IEEE Transactions on Automatic Control, 48(2):246-258, 2003.
16. K. Reif, S. Günther, E. Yaz, and R. Unbehauen. Stochastic stability of the discrete-time extended Kalman filter. IEEE Transactions on Automatic Control, 44(4):714-728, 1999.
17. D. Simon and T. Chia. Kalman filtering with state equality constraints. IEEE Trans. on Aerospace and Elect. Systems, 38(1):128-136, 2002.
18. B. O. S. Teixeira. Constrained State Estimation for Linear and Nonlinear Dynamic Systems. PhD Thesis. Graduate Program in Electrical Engineering, Federal University of Minas Gerais. Belo Horizonte - MG, Brazil, 2008.
19. B. O. S. Teixeira, J. Chandrasekar, L. A. B. Tôrres, L. A. Aguirre, and D. S. Berstein. State estimation for equality-constrained linear systems. In Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, pp. 6220-6225, 2007.
20. B. O. S. Teixeira, J. Chandrasekar, L. A. B. Tôrres, L. A. Aguirre, and D. S. Bernstein. State estimation for linear and nonlinear equality-constrained systems. International Journal of Control, submitted.
21. R. van der Merwe, E. A. Wan, and S. J. Julier. Sigma-point Kalman filters for nonlinear estimation and sensor-fusion - applications to integrated navigation. In Proceedings of the AIAA Guidance, Navigation & Control Conference, Providence - RI, USA, AIAA-2004-5120, 2004.
22. D. M. Walker. Parameter estimation using Kalman filters with constraints. Int. J. of Bifurcation and Chaos, 4(16):1067-1078, 2006.
23. W. Wen and H. F. Durrant-Whyte. Model-based multi-sensor data fusion. In Proceedings of the 1992 IEEE International Conference on Robotics and Automation, pages 1720-1726, Nice, France, May 1992.