H2 and H∞ robust filtering for convex bounded uncertain systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 1998, Pages 146-151

  Geromel, Jose C ^a   de Oliveira, Mauricio C ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS TIME SYSTEMS; LINEAR MATRIX INEQUALITY (LMI);

CONTROL SYSTEM SYNTHESIS; LINEAR PROGRAMMING; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); UNCERTAIN SYSTEMS;

OPTIMAL CONTROL SYSTEMS;

EID: 0032277881     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (14)

1. B. D. O. Anderson and J. B. Moore, Optimal Filtering. Englewood Cliffs, NJ: Prentice Hall, 1979.
2. J. O'Reilly, Observers for Linear Systems. Academic Press, 1983.
3. I. R. Petersen and D. C. MacFarlane, "Optimal guaranteed cost control and filtering for uncertain linear systems," IEEE Transactions on Automatic Control, vol. 39, no. 9, pp. 1971-1977,1994.
4. L. Xie and Y. C. Soh, "Robust Kalman filtering for uncertain systems," Systems and Control Letters, vol. 22, no. 2, pp. 123-129,1994.
5. ∞, setting," IEEE Transactions on Automatic Control, vol. 36, no. 2, pp. 152-166, 1991.
6. U. Shaked and C. E. de Souza, "Robust minimum variance filtering," IEEE Transactions on Signal Processing, vol. 43, no. 11, pp. 2474-2483, 1995.
7. M. Fu, C. E. de Souza, and L. Xie, "H, estimation for linear uncertain systems," International Journal of Robust and Nonlinear Control, vol. 2, pp. 87-105, 1992.
8. P. Gahinet and P. Apkarian, "A linear matrix inequality approach to H, control," International Journal of Robust and Nonlinear Control, vol. 4, no. 4, pp. 421-448, 1994.
9. J. C. Geromel, P. L. D. Peres, and J. Bernussou, "On a convex parameter space method for linear control design of uncertain systems," SIAM Journal on Control and Optimization, vol. 29, no. 2, pp. 381-402, 1991.
10. C. Scherer, P. Gahinet, and M. Chilali, "Multiobjective output-feedback control via LMI optimization," IEEE Transactions on Automatic Control, vol. 42, no. 7, pp. 896-911, 1997.
11. J. C. Geromel, J. Bernussou, and P. L. D. Peres, "Decentralized control through parameter space optimization," Automatica, vol. 30, no. 10, pp. 1565-1578, 1994.
12. infin;, robust filtering for convex bounded uncertain systems." submitted paper, 1997.
13. ∞, viewpoint. Academic Press, 1997.
14. T. Iwasaki, "Robust performance analysis for systems with structured uncertainty," International Journal of Robust and Nonlinear Control, vol. 6, no. 2, pp. 85-99, 1996.