Reduced-order solutions for the singular H∞ filtering problem

IEEE Transactions on Automatic Control

Volumn 48, Issue 2, 2003, Pages 271-275

  Ariola, Marco ^a   Pironti, Alfredo ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Filtering; H control; Time varying systems

Indexed keywords

FEEDBACK CONTROL; FILTRATION; MATRIX ALGEBRA; PROBLEM SOLVING;

REDUCED-ORDER SOLUTIONS;

TIME VARYING CONTROL SYSTEMS;

EID: 0037291650     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.808478     Document Type: Article

References (11)

1. ∞ setting," IEEE Trans. Automat. Contr., vol. 36, pp. 152-166, Feb. 1991.
2. ∞ problem," Math. Control, Signals, Syst., vol. 3, pp. 301-324, 1990.
3. A. E. Bryson Jr and D. E. Johansen, "Linearing filtering for time-varying system using measurements containing colored noise," IEEE Trans. Automat. Contr., vol. AC-11, pp. 4-10, Jan. 1965.
4. J. C. Willems, A. Kitapçi, and L. M. Silverman, "Singular optimal control: A geometric approach," SIAM J. Control Optim., vol. 24, no. 2, pp. 323-337, Mar. 1986.
5. ∞ Control Problem: A State-Space Approach. Upper Saddle River, NJ: Prentice-Hall, 1992.
6. ∞ control problem with dynamic measurement feedback," Linear Alg. Appl., vol. 187, pp. 113-161, 1993.
7. ∞ filtering for nonlinear systems," in Proc. 40th IEEE Conf. Decision Control, Orlando, FL, 2001, pp. 2562-2567.
8. J. O'Reilly, Observers for Linear Systems. New York: Academic, 1983.
9. ∞ filtering problem," in Proc. 40th IEEE Conf. Decision Control, Orlando, FL, 2001, pp. 682-683.
10. G. Tadmor, "Input/output norms in general linear systems," Int. J. Control, vol. 51, pp. 911-921, 1990.
11. L. Dieci and T. Eirola, "On smooth decomposition of matrices," SIAM J. Matrix Anal. Appl., vol. 20, no. 3, pp. 800-819, 1999.