Set-membership filtering with state constraints

IEEE Transactions on Aerospace and Electronic Systems

Volumn 45, Issue 4, 2009, Pages 1619-1628

  Yang, Fuwen ^a,b   Li, Yongmin ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

^b EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME SYSTEM; EQUALITY CONSTRAINTS; INEQUALITY CONSTRAINT; MATRIX; MATRIX INEQUALITY; MEASUREMENT NOISE; POINT APPROACH; RECURSIVE ALGORITHMS; S-PROCEDURES; SEMI-DEFINITE PROGRAMMING; SET-MEMBERSHIP; STATE CONSTRAINTS; STATE VARIABLES; VEHICLE TRACKING;

DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS;

CONSTRAINT THEORY;

EID: 70449569474     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAES.2009.5310323     Document Type: Article

References (11)

1. Alouani, A. T., and Blair, W. D. Use of a kinematic constraint in tracking constant speed, maneuvering targets. IEEE Transactions on Automatic Control, 38, 7 (July 1993), 1107-1111.
2. Anderson, B. D. O., and Moore, J. B. Optimal Filtering. nglewood Cliffs, NJ: Prentice-Hall, 1979.
3. Bertsekas, D. P., and Rhodes, I. B. Recursive state estimation for a set-membership description of uncertainty. IEEE Transactions on Automatic Control, AC-16, 2 (Apr. 1971), 117-128.
4. Boyd, S., Ghaoui, L. E., Feron, E., and Balakrishnan, V. Linear Matrix Inequalities in System and Control Theory (SIAM Studies in Applied Mathematics). SIAM, Philadelphia, PA, 1994.
5. Doran, H. E. Constraining Kalman filter and smoothing estimates to satisfy time-varying restrictions. The Review of Economics and Statistics, 74, 3 (1992), 568-572.
6. Durieu, C., Walter, E., and Polyak, B. Multi-input multi-output ellipsoidal state bounding. Journal of Optimization Theory and Applications, 111, 2 (Nov. 2001), 273-303.
7. Geeter, J. D., Brussel, H. V., and De Schutter, J. A smoothly constrained Kalman filter. IEEE Transactions on Pattern Analysis and Machine Intelligence, 19, 10 (Oct. 1997), 1171-1177.
8. El Ghaoui, L., and Calafiore, G. Robust filtering for discrete-time systems with bounded noise and parametric uncertainty. IEEE Transactions on Automatic Control, 46, 7 (July 2001), 1084-1089.
9. Julier, S. J., and LaViola, J. J., Jr. On Kalman filtering with nonlinear equality constraints. IEEE Transactions on Signal Processing, 55, 6 (June 2007), 2774-2784.
10. Kurzhanski, A. B., and Valyi, I. Ellipsoidal Calculus for Estimation and Control. Boston: Birkhauser, 1996.
11. Li, W., and Leung, H. Constrained unscented Kalman filter based fusion of GPS/INS/digital map for vehicle localization. In Proceedings of IEEE Intelligent Transportation Systems, Oct. 2003, 1362-1367.