Array algorithms for H∞ estimation

IEEE Transactions on Automatic Control

Volumn 45, Issue 4, 2000, Pages 702-706

  Hassibi, Babak ^a   Kailath, Thomas ^a   Sayed, Ali H ^b  

^a Stanford University   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INVARIANCE; KALMAN FILTERING; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; RICCATI EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS;

FAST ARRAY ALGORITHMS; SQUARE ROOT ARRAY ALGORITHMS; TIME INVARIANT SYSTEMS; UNITARY TRANSFORMATIONS;

ALGORITHMS;

EID: 0034171897     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.847105     Document Type: Article

References (13)

1. P. Dyer and S. McReynolds, "Extension of square-root filtering to include process noise," J. Optimiz. Theory Appl., vol. 3, pp. 444-459, 1969.
2. P. G. Kaminski, A. E. Bryson, and S. F. Schmidt, "Discrete square-root filtering: A survey of current techniques," IEEE Trans. Automat. Contr., vol. 16, pp. 727-735, Dec. 1971.
3. H. L. Harter, "The Method of Least-Squares and Some Alternatives," Aerospace Res. Lab., Air Force Systems Command, Wright-Patterson AFB, Ohio, Tech. Rep. ARL 72-0129, Sept. 1972.
4. T. Kailath, "Some new algorithms for recursive estimation in constant linear systems," IEEE Trans. Inform. Theory, vol. 19, pp. 750-760, Nov. 1973.
5. M. Morf, G. S. Sidhu, and T. Kailath, "Some new algorithms for recursive estimation in constant, linear, discrete-time systems," IEEE Trans. Automat. Contr., vol. 19, pp. 315-323, 1974.
6. A. Lindquist, "Some reduced-order non-Riccati equations for linear least-squares estimation: The stationary, single-output case," Int. J. Contr., vol. 24, no. 6, pp. 821-42, Dec. 1976.
7. A. H. Sayed and T. Kailath, "Extended Chandrasekhar recursions," IEEE Trans. Automat. Contr., vol. 39, pp. 619-623, Mar. 1994.
8. T. Basar, "Optimum performance levels for minimax filters, predictors and smoothers," Syst. Contr. Lett., vol. 16, pp. 309-317, 1991.
9. ∞ setting," IEEE Trans. Automat. Contr., vol. 36, pp. 151-166, 1991.
10. ∞-optimal estimation: A tutorial," in Proc. IEEE Conf. Decision and Control, Tucson, AZ, 1992, pp. 2278-2286.
11. B. Hassibi, A. H. Sayed, and T. Kailath, "Linear estimation in Krein spaces - Parts I and II: Theory and applications," IEEE Trans. Automat. Contr., vol. 41, pp. 18-49, Jan. 1996.
12. B. Hassibi, "Indefinite metric spaces in estimation, control and adaptive filtering," Ph.D. dissertation, Stanford Univ., CA, 1996.
13. S. Bittante, A. J. Laub, and J. C. Willems, Eds., The Riccati Equation. Berlin, Germany: Springer-Verlag, 1991.