Kalman filtering with statistical state constraints

Control and Intelligent Systems

Volumn 34, Issue 1, 2006, Pages 73-79

  Chia, T L ^a,b   Simon, D ^b,d   Chizeck, H J ^c  

^a Business Development   (United States)

^b Cleveland State University   (United States)

^c UNIVERSITY OF WASHINGTON   (United States)

^d CLEVELAND STATE UNIVERSITY   (United States)

Author keywords

Kalman filter; State constraints; State estimation

Indexed keywords

LINEAR DYNAMIC SYSTEMS; LINEAR STATE ESTIMATOR; STATE CONSTRAINTS;

LINEAR SYSTEMS; OPTIMAL CONTROL SYSTEMS; STATISTICS;

KALMAN FILTERING;

EID: 33644802287     PISSN: 14801752     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. B. Anderson & J. Moore, Optimal filtering (Englewood Cliffs, NJ: Prentice Hall, 1979).
2. D. Massicotte, R. Morawski, & A. Barwicz, Incorporation of a positivity constraint into a Kalman-filter-based algorithm for correction of spectrometric data, IEEE Trans. on Instrumentation and Measurement, 44(1), 1995, 2-7.
3. W. Wen & H. Durrant-Whyte, Model-based multi-sensor data fusion, IEEE Int. Conf., on Robotics and Automation, Nice, France, 1992, 1720-1726.
4. S. Hayward, Constrained Kalman filter for least-squares estimation of time-varying beamforming weights, in J. McWhirter & I. Proudler (Eds.), Mathematics in signal processing, Vol. 4 (New York: Oxford University Press, 1998), 113-125.
5. J. Porrill, Optimal combination and constraints for geometrical sensor data, International Journal of Robotics Research, 7(6), 1988, 66-77.
6. P. Maybeck, Stochastic models, estimation, and control, Vol. 1 (New York: Academic Press, 1979).
7. R. Stengel, Optimal control and estimation (New York: Dover, 1994).
8. T. Chia, P. Chow, & H. Chizeck, Recursive parameter identification of constrained systems: An application to electrically stimulated muscle, IEEE Trans. on Biomedical Engineering, 38(5), 1991, 429-442.
9. W. Timmons, P. Katona, V. Chankong, & H. Chizeck, Parameter constrained adaptive control, Industrial and Engineering Chemistry Research, 30(11), 1997, 4894-4905.
10. T. Chia, Parameter identification and state estimation of constrained systems, doctoral diss., Case Western Reserve University, Cleveland, OH, 1985.
11. D. Simon & T. Chia, Kalman filtering with state equality constraints, IEEE Trans. on Aerospace and Electronic Systems, 39(1), 2002, 128-136.
12. D. Simon & D.L. Simon, Aircraft turbofan engine health estimation using constrained Kalman filtering, forthcoming in Journal of Engineering for Gas Turbines and Power, 127(2), April 2005, 323-328.