State estimation for descriptor systems via the unknown input filtering method

Automatica

Volumn 49, Issue 5, 2013, Pages 1281-1286

  Hsieh, Chien Shu ^a  

^a Ta Hwa University of Science and Technology   (Taiwan)

Author keywords

Descriptor Kalman filtering; Minimum variance estimation; Robust state estimation; Unbiased state estimation; Unknown input filtering

Indexed keywords

DESCRIPTOR SYSTEMS; FILTERING METHOD; KALMAN-FILTERING; MINIMUM-VARIANCE ESTIMATIONS; OPTIMAL FILTER DESIGN; ROBUST STATE ESTIMATION; STATE SPACE SYSTEMS; UNKNOWN INPUTS;

DESCRIBING FUNCTIONS; OPTIMIZATION;

STATE ESTIMATION;

EID: 84876682226     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2013.01.049     Document Type: Article

References (21)

1. Y. Cheng, H. Ye, Y. Wang, and D. Zhou Unbiased minimum-variance state estimation for linear systems with unknown input Automatica 45 2009 485 491
2. M. Darouach, and M. Zasadzinski Unbiased minimum variance estimation for systems with unknown exogenous inputs Automatica 33 1997 717 719
3. M. Darouach, M. Zasadzinski, and A. Bassong-Onana Connection between the three-block generalized Riccati equation and the standard Riccati equation IEEE Transactions on Automatic Control 39 1994 1755 1758
4. M. Darouach, M. Zasadzinski, A. Bassong-Onana, and S. Nowakowski Kalman filtering with unknown inputs via optimal state estimation of singular systems International Journal of Systems Science 26 1995 2015 2028
5. M. Darouach, M. Zasadzinski, and M. Boutayeb Extension of minimum variance estimation for systems with unknown inputs Automatica 39 2003 867 876
6. M. Darouach, M. Zasadzinski, and D. Mehdi State estimation of stochastic singular linear systems International Journal of Systems Science 24 1993 345 354
7. Germani, A., Manes, C., & Palumbo, P. (2001). Optimal linear filtering for stochastic Non-Gaussian descriptor systems. In Proceedings of 40th IEEE conference on decision and control (pp. 2514-2519).
8. S. Gillijns, and B. De Moor Unbiased minimum-variance input and state estimation for linear discrete-time systems Automatica 43 2007 111 116
9. S. Gillijns, and B. De Moor Unbiased minimum-variance input and state estimation for linear discrete-time systems with direct feedthrough Automatica 43 2007 934 937
10. M. Hou, and R.J. Patton Optimal filtering for systems with unknown inputs IEEE Transactions on Automatic Control 43 1998 445 449
11. C.-S. Hsieh Robust two-stage Kalman filters for systems with unknown inputs IEEE Transactions on Automatic Control 45 2000 2374 2378
12. C.-S. Hsieh Extension of unbiased minimum-variance input and state estimation for systems with unknown inputs Automatica 45 2009 2149 2153
13. C.-S. Hsieh On the global optimality of unbiased minimum-variance state estimation for systems with unknown inputs Automatica 46 2010 708 715
14. C.-S. Hsieh On the optimality of two-stage Kalman filtering for systems with unknown inputs Asian Journal of Control 12 4 2010 510 523
15. Hsieh, C.-S. (2011a). Optimal linear filtering for stochastic descriptor systems with unknown inputs. In Proceedings of the 13th IASTED international conference on control and applications. June 1-3 (pp. 52-59) Vancouver, BC, Canada.
16. C.-S. Hsieh Optimal filtering for systems with unknown inputs via the descriptor Kalman filtering method Automatica 47 2011 2313 2318
17. J.Y. Ishihara, M.H. Terra, and J.C.T. Campos Optimal recursive estimation for discrete-time descriptor systems International Journal of Systems Science 36 10 2005 605 615
18. P.K. Kitanidis Unbiased minimum-variance linear state estimation Automatica 23 1987 775 778
19. D.G. Luenberger Dynamic systems in descriptor form IEEE Transactions on Automatic Control 22 1977 312 321
20. R. Nikoukhah, A.S. Willsky, and B.C. Levy Kalman filtering and Riccati equations for descriptor systems IEEE Transactions on Automatic Control 37 1992 1325 1342
21. G.C. Verghese, B.C. Levy, and T. Kailath A generalized state space for singular systems IEEE Transactions on Automatic Control 26 1981 811 831