Optimal filtering for systems with unknown inputs via the descriptor Kalman filtering method

Automatica

Volumn 47, Issue 10, 2011, Pages 2313-2318

  Hsieh, Chien Shu ^a  

^a TA HWA INSTITUTE OF TECHNOLOGY   (Taiwan)

Author keywords

Descriptor Kalman filtering; Globally optimal filtering; Maximum likelihood estimation; Unbiased minimum variance filter; Unknown inputs

Indexed keywords

AUGMENTED STATE KALMAN FILTERS; DESCRIPTORS; INPUT AND OUTPUTS; KALMAN FILTERING METHOD; KALMAN-FILTERING; OPTIMAL FILTER DESIGN; OPTIMAL FILTERING; OPTIMAL SOLUTIONS; OPTIMAL STATE; SIMULATION RESULT; UNBIASED MINIMUM-VARIANCE FILTER; UNKNOWN INPUTS;

ESTIMATION; FILTRATION; KALMAN FILTERS; MAXIMUM LIKELIHOOD ESTIMATION; MOTION CONTROL; STATE ESTIMATION;

OPTIMIZATION;

EID: 80052697150     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2011.08.012     Document Type: Article

References (21)

1. A.V. Borisov, and A.R. Pankov Optimal filtering in stochastic discrete-time systems with unknown inputs IEEE Transactions on Automatic Control 39 1994 2461 2464
2. J. Chen, and R.J. Patton Optimal filtering and robust fault diagnosis of stochastic systems with unknown disturbances IEE Proceedings Control Theory and Applications 143 1996 31 36 (Pubitemid 126760260)
3. 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
4. M. Darouach, and M. Zasadzinski Unbiased minimum-variance estimation for systems with unknown exogenous inputs Automatica 33 1997 717 719 (Pubitemid 127417107)
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. B. Friedland Treatment of bias in recursive filtering IEEE Transactions on Automatic Control 14 1969 359 367
8. S. Gillijns, and B. De Moor Unbiased minimum-variance input and state estimation for linear discrete-time systems Automatica 43 2007 111 116 (Pubitemid 44803013)
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 (Pubitemid 46509773)
10. M. Hou, and R.J. Patton Optimal filtering for systems with unknown inputs IEEE Transactions on Automatic Control 43 1998 445 449 (Pubitemid 128737368)
11. C.-S. Hsieh Robust two-stage Kalman filters for systems with unknown inputs IEEE Transactions on Automatic Control 45 2000 2374 2378 (Pubitemid 32191003)
12. C.-S. Hsieh The unified structure of unbiased minimum-variance reduced-order filters IEEE Transactions on Automatic Control 52 2007 1716 1721 (Pubitemid 47456085)
13. C.-S. Hsieh Extension of unbiased minimum-variance input and state estimation for systems with unknown inputs Automatica 45 2009 2149 2153
14. C.-S. Hsieh On the global optimality of unbiased minimum-variance state estimation for systems with unknown inputs Automatica 46 2010 708 715
15. C.-S. Hsieh, and F.-C. Chen Optimal solution of the two-stage Kalman estimator IEEE Transactions on Automatic Control 44 1999 194 199
16. M.B. Ignani Separate bias Kalman estimator with bias state noise IEEE Transactions on Automatic Control 35 1990 338 341
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 2005 605 615 (Pubitemid 43000440)
18. P.K. Kitanidis Unbiased minimum-variance linear state estimation Automatica 23 1987 775 778
19. R. Nikoukhah, S.L. Campbell, and F. Delebecque Kalman filtering for general discrete-time linear systems IEEE Transactions on Automatic Control 44 1999 1829 1839 (Pubitemid 30546875)
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 (Pubitemid 23555860)
21. M.E. Valcher State observers for discrete-time linear systems with unknown inputs IEEE Transactions on Automatic Control 44 1999 397 401