Filtering of discrete-time Markov jump linear systems with cluster observation: An approach to Gilbert-Elliot's network channel

2009 European Control Conference, ECC 2009

Volumn , Issue , 2014, Pages 2283-2288

  Fioravanti, Andre R ^a   Goncalves, Alim P C ^b   Geromel, Jose C ^b  

^a INRIA   (France)

^b UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; MARKOV PROCESSES; ROBUSTNESS (CONTROL SYSTEMS);

BURST ERRORS; CLUSTER OBSERVATIONS; DESIGN PROBLEMS; DISCRETE TIME; EXTENDED MODEL; GILBERT-ELLIOT MODELS; MARKOV JUMP LINEAR SYSTEMS; NETWORK CHANNEL;

LINEAR MATRIX INEQUALITIES;

EID: 84955202408     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2009.7074745     Document Type: Conference Paper

References (22)

1. S. P. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994.
2. F. Casiello and K. A. Loparo. Optimal Control of Unknown Parameter Systems. IEEE Transactions on Automatic Control, 34(10):1092-1094, 1989.
3. F. Dufour and R. J. Elliot. Filtering with discrete state observations. Applied Mathematics and Optimization, 40:259-272, 1999.
4. O. L. V. Costa and J. B. R. do Val. Full information Ho control for discrete-time infinite Markov jump parameter systems. Journal of Mathematical Analysis and Applications, 202:578-603, 1996.
5. O. L. V. Costa and M. D. Fragoso. Stability results for discrete-time linear systems with Markovian jump parameters. Journal of Mathematical Analysis and Applications, 179:154-178, 1993.
6. O. L. V. Costa, M. D. Fragoso, and R. P. Marques. Discrete-Time Markov Jump Linear Systems. Springer-Verlag, London, 2005.
7. O. L. V. Costa and S. Guerra. Stationary filter for linear minimun mean square error estimator of discrete-time Markovian jump systems. IEEE Transactions on Automatic Control, 47(8):1351-1356, 2002.
8. O. L. V. Costa and S. Guerra. Robust linear filtering for discrete-time hybrid Markov linear systems International Journal of Control, 75(10):712-727, 2002.
9. O. L. V. CostaandE. F. Tuesta. H2-Control and the separation principle for discrete-Time Markovian jump linear systems. Mathematics of Control, Signals and Systems, 16:320-350, 2004.
10. E. O. Elliot. Estimates of error rates for codes on burst-error channels. Bell Systems Tech. Journal, 42:1977-1997, 1963.
11. A. R. Fioravanti, A. P. C. Gonalves and J. C. Geromel. H2 filtering of discrete-time Markov jump linear systems through linear matrix inequalities. International Journal of Control, 81(8):1221-1231, 2008.
12. A. R. Fioravanti, A. P. C. Gonalves and J. C. Geromel. H2 and Woo filtering of discrete-time Markov jump linear systems through linear matrix inequalities. Proceedings of the YJth IFAC World Congress, Seoul, Korea, pp. 2681-2686, 2008.
13. E. N. Gilbert. Capacity of a burst-noise channel. Bell Systems Tech. Journal, 39:1253-1266, I960.
14. M. Huang and S. Dey Stability of Kalman filtering with Markovian packet losses. Automatica, 43:598-607, 2007.
15. Y. Ji and H. J. Chizeck. Jump linear quadratic control: steady state solution and testable conditions. Control Theory and Advanced Technology, 5:289-319, 1990.
16. Y. Ji, H. J. Chizeck, X. Feng, and K. A. Loparo. Stability and control of discrete-time jump linear systems. Control Theory and Advanced Technology, 7:247-270, 1991.
17. G. A. B. Marcondes and J. M. C. Brito. Discrete channel models applications for error analysis in Raileigh channels. In IASTED Conference on Automation Control and Energy, Novosibirsky, Russia, 2005
18. P. Seiler and R. Sengupta. A bounded real lemma for jump linear systems. IEEE Transactions on Automatic Control, 48(9):1651-1654, 2003.
19. S. C. Smith and P. Seiler. Estimation with lossy measurements: jump estimators for jump systems. IEEE Transaction on Automatic Control, 48(12):2163-2171, 2003.
20. C. E. de Souza. A mode-independent Hoo filter design for discrete-time Markovian jump linear systems. Proceedings of the 42nd IEEE Conference on Decision and Control, 2003.
21. C. E. de Souza and M. D. Fragoso. Ho filtering for discrete-time linear systems with Markovian jumping parameters. Proceeedings of the 36th IEEE Conference on Decision and Control, 1997.
22. J. B. R. do Val, J. C. Geromel, and A. P. C. Goncalves. The H2-control for jump linear systems: cluster observations of the Markov state. Automatica, 38:343-349, 2002.