On the global optimality of unbiased minimum-variance state estimation for systems with unknown inputs

Automatica

Volumn 46, Issue 4, 2010, Pages 708-715

  Hsieh, Chien Shu ^a  

^a TA HWA INSTITUTE OF TECHNOLOGY   (Taiwan)

Author keywords

Global optimality; Optimal estimation; Unbiased minimum variance estimation; Unknown inputs

Indexed keywords

DISTRIBUTION MATRICES; FEED THROUGH; GLOBAL OPTIMALITY; INPUT TRANSFORMATION; LINEAR DISCRETE-TIME SYSTEMS; MINIMUM VARIANCE ESTIMATION; OPTIMAL ESTIMATIONS; OPTIMAL FILTER; OPTIMAL FILTERING; OPTIMAL STATE; PERFORMANCE DEGRADATION; SIMULATION EXAMPLE; SYSTEM STATE; UNBIASED ESTIMATOR; UNIFIED APPROACH; UNKNOWN INPUTS; VARIANCE ESTIMATION;

DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; OPTIMIZATION; STATE ESTIMATION; WETLANDS;

ESTIMATION;

EID: 77949307676     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.01.029     Document Type: Article

References (21)

1. Borisov A.V., and Pankov A.R. Optimal filtering in stochastic discrete-time systems with unknown inputs. IEEE Transactions on Automatic Control 39 (1994) 2461-2464
2. Chen J., and Patton R.J. Optimal filtering and robust fault diagnosis of stochastic systems with unknown disturbances. IEE Proceedings Control Theory and Applications 143 (1996) 31-36
3. Cheng Y., Ye H., Wang Y., and Zhou D. Unbiased minimum-variance state estimation for linear systems with unknown input. Automatica 45 (2009) 485-491
4. Darouach M., and Zasadzinski M. Unbiased minimum variance estimation for systems with unknown exogenous inputs. Automatica 33 (1997) 717-719
5. Darouach M., Zasadzinski M., and Boutayeb M. Extension of minimum variance estimation for systems with unknown inputs. Automatica 39 (2003) 867-876
6. Friedland B. Treatment of bias in recursive filtering. IEEE Transactions on Automatic Control 14 (1969) 359-367
7. Gillijns S., and De Moor B. Unbiased minimum-variance input and state estimation for linear discrete-time systems. Automatica 43 (2007) 111-116
8. Gillijns S., and De Moor B. Unbiased minimum-variance input and state estimation for linear discrete-time systems with direct feedthrough. Automatica 43 (2007) 934-937
9. Hou M., and Patton R.J. Optimal filtering for systems with unknown inputs. IEEE Transactions on Automatic Control 43 (1998) 445-449
10. Hsieh C.-S. Robust two-stage Kalman filters for systems with unknown inputs. IEEE Transactions on Automatic Control 45 (2000) 2374-2378
11. Hsieh, C.-S. (2006a). Optimal minimum-variance filtering for systems with unknown inputs. In Proceedings of the 6th world congress on intelligent control and automation (pp. 1870-1874).
12. Hsieh, C.-S. (2006b). Optimal filtering for systems with unknown inputs via unbiased minimum-variance estimation. In Proceedings of IEEE Tencon 2006.
13. Hsieh C.-S. The unified structure of unbiased minimum-variance reduced-order filters. IEEE Transactions on Automatic Control 52 (2007) 1716-1721
14. Hsieh C.-S. Extension of unbiased minimum-variance input and state estimation for systems with unknown inputs. Automatica 45 (2009) 2149-2153
15. Hsieh, C.-S. (2010). On the optimality of two-stage Kalman filtering for systems with unknown inputs. Asian Journal of Control (in press).
16. Hsieh C.-S., and Chen F.-C. Optimal solution of the two-stage Kalman estimator. IEEE Transactions on Automatic Control 44 (1999) 194-199
17. Ignani M.B. Separate bias Kalman estimator with bias state noise. IEEE Transactions on Automatic Control 35 (1990) 338-341
18. Kerwin W.S., and Prince J.L. On the optimality of recursive unbiased state estimation with unknown inputs. Automatica 36 (2000) 1381-1383
19. Kitanidis P.K. Unbiased minimum-variance linear state estimation. Automatica 23 (1987) 775-778
20. Nikoukhah R., Willsky A.S., and Levy B.C. Kalman filtering and riccati equations for descriptor systems. IEEE Transactions on Automatic Control 37 (1992) 1325-1342
21. Valcher M.E. State observers for discrete-time linear systems with unknown inputs. IEEE Transactions on Automatic Control 44 (1999) 397-401