Reduced-order Kalman filter with unknown inputs

Automatica

Volumn 34, Issue 11, 1998, Pages 1463-1468

  Keller, J Y ^a   Darouach, M ^a  

^a CENTRE DE RECHERCHE EN AUTOMATIQUE DE NANCY   (France)

Author keywords

Kalman filters; Optimal estimation; Reduced order filtering

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); DISCRETE TIME CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; STATE ESTIMATION; STOCHASTIC CONTROL SYSTEMS; SYSTEM STABILITY;

ESTIMATION ERROR COVARIANCE MATRIX; REDUCED-ORDER FILTERING;

KALMAN FILTERING;

EID: 0032203926     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00094-6     Document Type: Article

References (13)

1. Anderson, B. D. O. and J. B. Moore (1979). Optimal Filtering. Prentice-Hall, Englewood Cliffs, NJ.
2. Bernstein, D. S. and D. C. Hyland (1985). The optimal projection equations for reduced order state estimation, IEEE Trans. Automat. Control, AC-30, 583-585.
3. Darouach, M., M. Zasadzinski and S. J. Xu (1994). Full-order observers for linear systems with unknown inputs. IEEE Trans. Automat. Control, AC-39, 606-609.
4. Darouach, M., M. Zasadzinski and J. Y. Keller (1992). State estimation for discrete systems with unknown inputs using state estimation of singular systems. Proc. of the American Control Conf., Chicago, pp. 3014-3015.
5. Darouach, M. and M. Zasadzinski (1997). Unbiased minimum variance estimation for systems with unknown exogenous inputs. Automatica, 33, 717-719.
6. De Souza, C. E., M. R. Gevers and G. C. Goodwin (1986). Riccati equations in optimal filtering of nonstabilizable systems having singular state transition matrices. IEEE Trans. Automat. Control, AC-31, 831-838.
7. Kitanidis, P. K. (1987). Unbiased minimum-variance linear state estimation. Automatica, 23, 775-778.
8. Kudva P., N. Viswanadham and A. Ramakrishna (1980). Observer for linear system with unknown inputs. IEEE Trans. Automat. Control, AC-25, 113-115.
9. Nagpal, K., R. Helmick and C. Sims (1987). Reduced-order estimation: part I. Filtering. Int. J. Control, 45, 1867-1888.
10. Patton, R. J., P. M. Frank and R. N. Clark (1989). Fault Diagnosis in Dynamic Systems - Theory and Application. Prentice-Hall, Englewood Cliffs, NJ.
11. Sims, C. S. (1982). Reduced order modeling and filtering. In Advances in Control and Dynamic systems, Vol. 18, ed. C. T. Leondes. Academic Press, New York.
12. Wunnenberg, J. and P. M. Frank (1987). Sensor fault using detection via robust observers - system fault diagnostics. Reliability and Related knowledge-Based Approaches, eds. Singh and Schmidt. Reidel Press, Dordrecht, pp. 147-160.
13. Yang F. and W. Richard (1988). Observers for linear systems with unknown inputs. IEEE Trans. Automat. Control, AC-33, 677-681.