Finite-time filtering for non-linear stochastic systems with partially known transition jump rates

IET Control Theory and Applications

Volumn 4, Issue 5, 2010, Pages 735-745

  Luan, X ^a   Liu, F ^a   Shi, P ^b,c  

^a JIANGNAN UNIVERSITY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c VICTORIA UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ERRORS; ATTENUATION LEVELS; FILTERING ERROR; FINITE-TIME BOUNDEDNESS; JUMP RATE; MARKOV JUMP SYSTEM; NON-LINEAR; NON-LINEAR STOCHASTIC SYSTEMS; NONLINEARITIES; SUFFICIENT CONDITIONS; TIME FILTERING; TUNNEL DIODE CIRCUITS;

FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; TUNNEL DIODES;

MULTILAYER NEURAL NETWORKS;

EID: 77955187550     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2009.0014     Document Type: Article

References (35)

1. Nguang, S.K., Assawinchaichote, W., and Shi, P.: ' Robust H-infinity control design for fuzzy singularly perturbed systems with Markovian jumps: an LMI approach ', IET Control Theory Appl., 2007, 1, (4), p. 893-908
2. Wang, Y., and Sun, Z.: ' H-infinity control of networked control system via LMI approach ', Int. J. Innov. Comput. Inf. Control, 2007, 3, (2), p. 343-352
3. Shi, P., Xia, Y., Liu, G., and Rees, D.: ' On designing of sliding mode control for stochastic jump systems ', IEEE Trans Autom. Control, 2006, 51, (1), p. 97-103 0018-9286 (Pubitemid 43137935)
4. Liu, F., and Cai, Y.: ' Passive analysis and synthesis of Markovian jump systems with norm bounded uncertainty and unknown delay ', Dyn. Continuous Discrete Impulsive Syst. - Ser. A - Math. Anal., 2006, 13, p. 157-166
5. Hu, L., Shi, P., and Frank, P.: ' Robust sampled-data control for Markovian jump linear systems ', Automatica, 2006, 42, p. 2025-2030 0005-1098 (Pubitemid 44436049)
6. Chen, W.H., Xu, J.X., and Guan, Z.H.: ' Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays ', IEEE Trans Autom. Control, 2003, 48, p. 2270-2276 0018-9286
7. Shi, P., and Boukas, E.K.: ' Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters ', IEEE Trans Autom. Control, 1999, 44, p. 1592-1597 0018-9286 (Pubitemid 30508570)
8. Mahmoud, M., and Shi, P.: ' Robust Kalman filtering for continuous time-lag systems with Markovian jump parameters ', IEEE Trans. Circuits Syst., 2003, 50, (1), p. 98-105 0098-4094
9. Wu, L., Shi, P., Gao, H., and Wang, C.: ' Robust H-infinity filtering for 2-D Markovian jump systems ', Automatica, 2008, 44, (7), p. 1849-1858 0005-1098
10. ∞ filtering for linear systems with Markovian jump parameters ', Syst. Control Lett., 2005, 54, p. 739-746 0167-6911
11. Zhang, L.X., Boukas, E.K., and Lam, J.: ' Analysis and synthesis of Markov jump linear systems with time-varying delays and partially known transition probabilities ', IEEE Trans. Autom. Control, 2008, 53, (10), p. 2458-2464 0018-9286
12. ∞ filtering for discrete-time Markov jump linear systems with partly unknown transition probabilities ', Automatica, 2009, 45, p. 1462-1467 0005-1098
13. Liu, C.S., Zhang, S.J., Hu, S.S., and Wu, Q.X.: ' Neural network based robust nonlinear control for a magnetic levitation system ', Int. J. Innov. Comput. Inf. Control, 2008, 4, (9), p. 2235-2242
14. Mahmoud, M., Shi, Y., and Nounou, H.: ' Resilient observer-based control of uncertain time-delay systems ', Int. J. Innov. Comput. Inf. Control, 2007, 3, p. 407-418
15. Gong, C., and Su, B.: ' Robust H-infinity filtering of convex polyhedral uncertain time-delay fuzzy systems ', Int. J. Innov. Comput. Inf. Control, 2008, 4, (4), p. 793-802
16. Zhang, L., Boukas, E.K., and Shi, P.: ' Exponential H-infinity filtering for uncertain discrete-time switched linear systems with average dwell time: a dependent approach ', Int. J. Robust Nonlinear Control, 2008, 18, (11), p. 1188-1207 1049-8923
17. Gao, H.J., Zhao, Y., Lam, J., and Chen, K.: ' H-infinity fuzzy filtering of nonlinear systems with intermittent measurements ', IEEE Trans. Fuzzy Syst., 2009, 17, (2), p. 291-300 1063-6706
18. Gao, H.J., Meng, X.Y., and Chen, T.W.: ' A parameter-dependent approach to robust H-infinity filtering for time-delay systems ', IEEE Trans. Autom. Control, 2008, 53, (10), p. 2420-2425 0018-9286
19. Gao, H.J., and Wang, C.H.: ' A delay-dependent approach to robust filtering for uncertain discrete-time state-delayed systems ', IEEE Trans. Signal Process., 2004, 52, (6), p. 1631-1640 1053-587X
20. Dorato, P.: ' Short time stability in linear time-varying systems ', Proc IRE Int. Convention Record, New York, 1961, p. 83-87, Part 4
21. Weiss, L., and Infante, E.F.: ' Finite time stability under perturbing forces and on product spaces ', IEEE Trans. Autom. Control, 1967, 2, (2), p. 54-59 0018-9286
22. Amato, F., Ariola, M., and Abdallah, C.T.: ' Dynamic output feedback finite-time control of LIT systems subject to parametric uncertainties and disturbances ', Proc. European Control Conf., Berlin, 1999, p. 1176-1180, Springer
23. Boyd, S.P., Ghaoui, L.E., and Feron, E.: ' Linear matrix inequalities in system and control theory ', ('Society for Industrial and Applied Mathematics' (Academic Press, Philadelphia, 1994)
24. Amato, F., and Ariola, M.: ' Finite-time control of discrete-time linear systems ', IEEE Trans. Autom. Control, 2005, 50, (5), p. 724-729 0018-9286
25. Amato, F., Ariola, M., and Cosentino, C.: ' Finite-time stabilization via dynamic output feedback ', Automatica, 2006, 42, (2), p. 337-342 0005-1098
26. Ma, C.L., and Fang, H.J.: ' Research on stochastic control of networked control systems ', Commun. Nonlinear Sci. Numer. Simul., 2009, 14, p. 500-507
27. Blair, W.P., and Sworder, D.D.: ' Feedback control of a class of linear discrete systems with jump parameters and quadratic cost criteria ', Int. J. Control, 1975, 21, p. 833-844 0020-7179
28. ∞ fuzzy control approach for a class of Markovian jump nonlinear systems ', IEEE Trans. Fuzzy Syst., 2006, 14, p. 738-754 1063-6706
29. ∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: an LMI approach ', Inf. Sci., 2007, 177, p. 1699-1714 (Pubitemid 46107435)
30. Wu, H.N., and Cai, K.Y.: ' Mode-independent robust stabilization for uncertain Markovian jump nonlinear systems via fuzzy control ', IEEE Trans. Syst., Man, Cybern. - Part B: Cybern., 2006, 36, p. 509-519
31. Tanaka, K.: ' An approach to stability criteria of neural-network control systems ', IEEE Trans. Neural Netw., 1996, 7, (3), p. 629-642 1045-9227 (Pubitemid 126776338)
32. Limanond, S., and Si, J.: ' Neural-network-based control design: an LMI approach ', IEEE Trans. Neural Netw., 1998, 9, (6), p. 1422-1429 1045-9227
33. Amato, F., Ariola, M., and Dorato, P.: ' Finite-time control of linear systems subject to parametric uncertainties and disturbances ', Automatica, 2001, 37, (9), p. 1459-1463 0005-1098
34. Mao, X.: ' Stability of stochastic differential equations with Markovian switching ', Stoch. Process. Appl., 1999, 79, (1), p. 45-67 0304-4149
35. Wang, Y., Xie, L., and de Souza, C.E.: ' Robust control of a class of uncertain nonlinear systems ', Syst. Control Lett., 1992, 19, (2), p. 139-149 0167-6911