Robust filtering for linear time-invariant continuous systems

IEEE Transactions on Signal Processing

Volumn 55, Issue 10, 2007, Pages 4752-4757

  Neveux, Philippe ^a   Blanco, Eric ^b   Thomas, Gérard ^b  

^a UNIVERSITY OF AVIGNON   (France)

^b ECOLE CENTRALE DE LYON   (France)

Author keywords

Diophantine equation; Minimax optimization; Robust estimation; Robustness; Sensitivity; Spectral factorization

Indexed keywords

ERROR ANALYSIS; FACTORIZATION; MATHEMATICAL MODELS; OPTIMIZATION; POLYNOMIALS; STATE SPACE METHODS; TRANSFER FUNCTIONS; UNCERTAIN SYSTEMS;

DIOPHANTINE EQUATION; LINEAR TIME-INVARIANT; TIME-INVARIANT CONTINUOUS SYSTEMS;

CONTINUOUS TIME SYSTEMS;

EID: 35148896673     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.896104     Document Type: Article

References (14)

1. P. Bolzern, P. Colaneri, and G. De Nicolao, "Optimal robust filtering with time-varying parameter uncertainty," Int. J. Control, vol. 63, pp. 557-576, 1996.
2. B. S. Chen and S. C. Peng, "Deconvolution filter design with consideration of channel sensitivity," Signal Process., vol. 39, pp. 149-166, 1994.
3. ∞ robust filtering for convex bounded uncertain systems," IEEE Trans. Autom. Control, vol. 46, no. 1, pp. 100-107, Jan. 2001.
4. S. A. Kassam and J. B. Thomas, "Asymptotically robust detection of a known signal in contaminated non-Gaussian noise," IEEE Trans. Inf. Theory, vol. 22, no. 1, pp. 22-26, Jan. 1976.
5. H. Kwakernaak and R. Sivan, Modern Signals and Systems. Englewood Cliffs, NJ: Prentice-Hall, 1990.
6. M. S. Mahmoud, "Resilient linear filtering of uncertain systems," Automatica, vol. 40, pp. 1797-1802, 2004.
7. C. J. Martin and M. Mintz, "Robust filtering and prediction for linear systems with uncertain dynamics: A Game-Theoretic Approach," IEEE Trans. Autom. Control, vol. 28, pp. 888-896, 1983.
8. Ph. Neveux and G. Thomas, "Robust deconvolution for uncertain systems: A polynomial approach," presented at the 14th IFAC World Congr., Beijing, China, Jul. 5-9, 1999.
9. Ph. Neveux and G. Thomas, "Robust filtering for uncertain systems," Signal Process., vol. 81, pp. 809-817, 2001.
10. I. R. Petersen and D. C. Mac Farlane, "Optimal guaranteed cost control and filtering for uncertain linear systems," IEEE Trans. Autom. Control, vol. 39, no. 9, pp. 1971-1977, Sep. 1994.
11. H. V. Poor, "On robust Wiener filtering," IEEE Trans. Autom. Control, vol. 25, no. 3, pp. 531-536, Jun. 1980.
12. V. Poor and D. P. Looze, "Minimax state estimation for linear stochastic system with noise uncertainty," IEEE Trans. Autom. Control, vol. 26, no. 4, pp. 902-906, Aug. 1981.
13. ∞ filtering for continuous time varying uncertain systems with deterministic input signals," IEEE Trans. Signal Process., vol. 43, no. 3, pp. 709-719, Mar. 1995.
14. L. Xie and Y. C. Soh, "Robust Kalman filtering for uncertain systems," Syst. Control Lett., vol. 22, pp. 123-129, 1994.