General two-stage extended Kalman filters

IEEE Transactions on Automatic Control

Volumn 48, Issue 2, 2003, Pages 289-293

  Hsieh, Chien Shu ^a  

^a TA HWA INSTITUTE OF TECHNOLOGY   (Taiwan)

Author keywords

Extended Kalman filter (EKF); Nonlinear observer; Parameters estimation; Two stage Kalman filter

Indexed keywords

LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION;

NONLINEAR FILTERS;

KALMAN FILTERING;

EID: 0037292144     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.808483     Document Type: Article

References (18)

1. B. Friedland, "Treatment of bias in recursive filtering," IEEE Trans. Automat. Contr., vol. AC-14, pp. 359-367, Aug. 1969.
2. _, "A nonlinear observer for estimating parameters in dynamic systems," Automatica, vol. 33, pp. 1525-1530, 1997.
3. Y. Oh and W. K. Chung, "Disturbance-observer-based motion control of redundant manipulators using inertially decoupled dynamics," IEEE/ASME Trans. Mechatron., vol, 4, pp. 133-145, June 1999.
4. W. H. Chen, D. J. Ballance, P. J. Gawthrop, and J. O'Reilly, "A nonlinear disturbance observer for robotic manipulators," IEEE Trans. Ind. Electron., vol. 47, pp. 932-937, Aug. 2000.
5. D. Haessig and B. Friedland, "Separate-bias estimation with reduced-order Kalman filters," IEEE Trans. Automat. Contr., vol. AC-43, pp. 983-987, July 1998.
6. M. Ignagni, "Optimal and suboptimal separate-bias Kalman estimators for a stochastic bias," IEEE Trans. Automat. Contr., vol. AC-45, pp. 547-551, Mar. 2000.
7. E. L. Shreve and W. R. Hedrick, "Separating bias and state estimation in a recursive second-order filter," IEEE Trans. Automat. Contr., vol. AC-19, pp. 585-586, Oct. 1974.
8. J. M. Mendel, "Extension of Friedland's bias filtering technique to a class of nonlinear systems," IEEE Trans. Automat. Contr., vol. AC-21, pp. 296-298, Apr. 1976.
9. D.H. Zhou, Y. X. Sun, Y. G. Xi, and Z. J. Zhang, "Extension of Friedland's separate-bias estimation to randomly time-varying bias of nonlinear systems," IEEE Trans. Automat. Contr., vol. 38, pp. 1270-1273, Aug. 1993.
10. C.-S. Hsieh and F.-C. Chen, "Optimal solution of the two-stage Kalman estimator," IEEE Trans. Automat. Contr., vol. 44, pp. 194-199, Jan. 1999.
11. -, "General two-stage Kalman filters," IEEE Trans. Automat. Contr., vol. AC-45, pp. 819-824, Apr. 2000.
12. -, "Modified stochastic Luenberger observers," Automatica, vol. 36, pp. 1847-1854, 2000.
13. -, "Optimal minimal-order least-squares estimators via the general two-stage Kalman filter," IEEE Trans. Automat. Contr., vol. 46, pp. 1772-1776, Nov. 2001.
14. C.-S. Hsieh, "Robust two-stage Kalman filters for systems with unknown inputs," IEEE Trans. Automat. Contr., vol. 45, pp. 2374-2378, Dec. 2000.
15. C. T. Leondes and L. M. Novak, "Optimal minimal-order observers for discrete-time systems-A unified theory," Automatica, vol. 8, pp. 379-387, 1972.
16. J. O'Reilly, "On linear least-squares estimators for discrete-time stochastic systems," IEEE Trans. Syst., Man, Cybern., vol. SMC-10, pp. 276-279, May 1980.
17. F. W. Fairman and L. Luk, "On reducing the order of Kalman filters for discrete-time stochastic systems having singular measurement noise," IEEE Trans. Automat. Contr., vol. AC-30, pp. 1150-1152, Nov. 1985.
18. P. K. Kitanidis, "Unbiased minimum-variance linear state estimation," Automatica, vol. 23, pp. 775-778, 1987.