H∞ filtering for sampled-data stochastic systems with limited capacity channel

Signal Processing

Volumn 91, Issue 8, 2011, Pages 1826-1837

  Liu, Ming ^a   You, Jia ^a   Ma, Xincheng ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

External disturbance; H filtering; Quantization; Sampled data filtering; Stochastic system

Indexed keywords

EXTERNAL DISTURBANCES; FILTERING ERROR; FILTERING PROBLEMS; FILTERING TECHNIQUE; FULL-ORDER FILTER; LIMITED CAPACITY; LYAPUNOV-KRASOVSKII FUNCTIONALS; LYAPUNOV-RAZUMIKHIN FUNCTIONS; MATHEMATICAL STRUCTURE; NUMERICAL EXAMPLE; QUANTIZATION; SAMPLED DATA SYSTEMS; SAMPLED-DATA; SUFFICIENT CONDITIONS; TIME-DEPENDENT; TRADITIONAL FILTER;

LYAPUNOV FUNCTIONS; NUMERICAL ANALYSIS; SAMPLED DATA CONTROL SYSTEMS;

STOCHASTIC SYSTEMS;

EID: 79955474552     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2011.02.006     Document Type: Article

References (33)

1. E. Fridman A refined input delay approach to sampled-data control Automatica 46 2 2010 421 427
2. E. Fridman, A. Seuret, and J. Richard Robust sampled-data stabilization of linear systems: an input delay approach Automatica 40 8 2004 1441 1446
3. ∞ estimation for uncertain systems with limited communication capacity IEEE Transactions on Automatic Control 52 11 2007 2070 2084
4. H. Gao, and T. Chen Stabilization of nonlinear systems under variable sampling: a fuzzy control approach IEEE Transactions on Fuzzy Systems 15 5 2007 972 983 (Pubitemid 47578002)
5. D. Higham An algorithmic introduction to numerical simulation of stochastic differential equations SIAM Review 2001 525 546 (Pubitemid 32991214)
6. H. Li, B. Chen, Q. Zhou, and C. Lin Robust exponential stability for delayed uncertain Hopfield neural networks with Markovian jumping parameters Physics Letters A 372 30 2008 4996 5003
7. H. Li, B. Chen, Q. Zhou, and W. Qian Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters IEEE Transactions on Systems, Man, and Cybernetics, Part B 39 1 2009 94 102
8. M. Liu, D.W.C. Ho, and Y. Niu Robust filtering design for stochastic system with mode-dependent quantized output IEEE Transactions on Signal Processing 58 12 2010 6410 6416
9. M. Liu, D.W.C. Ho, and Y. Niu Stabilization of Markovian jump linear system over networks with random communication delay Automatica 45 2 2009 416 421
10. ∞ control for discrete-time uncertain recurrent neural networks with interval time-varying delay International Journal of Innovative Computing Information and Control 5 10(B) 2008 3483 3494
11. X. Mao Stochastic Differential Equations and their Applications 1997 Horwood Publishing
12. P. Naghshtabrizi, J. Hespanha, and A. Teel Exponential stability of impulsive systems with application to uncertain sampled-data systems Systems & Control Letters 57 5 2008 378 385 (Pubitemid 351417660)
13. S. Nguang, and P. Shi On designing filters for uncertain sampled-data nonlinear systems Systems & Control Letters 41 5 2000 305 316
14. ∞ filtering of sampled-data systems Automatica 36 2 2000 303 310
15. Y. Niu, D.W.C. Ho, and J. Lam Robust integral sliding mode control for uncertain stochastic systems with time-varying delay Automatica 41 5 2005 873 880 (Pubitemid 40352401)
16. Y. Niu, D.W.C. Ho, and X. Wang Sliding mode control for Itô stochastic systems with Markovian switching Automatica 43 10 2007 1784 1790 (Pubitemid 47374629)
17. P. Shi Robust filtering for uncertain delay systems under sampled measurements Signal Processing 58 2 1997 131 151 (Pubitemid 127371243)
18. P. Shi Filtering on sampled-data systems with parametric uncertainty IEEE Transactions on Automatic Control 43 7 2002 1022 1027
19. P. Shi, M. Karan, and C. Kaya Robust Kalman filter design for Markovian jump linear systems with norm-bounded unknown nonlinearities Circuits, Systems, and Signal Processing 24 2 2005 135 150 (Pubitemid 41046366)
20. P. Shi, M. Mahmoud, S. Nguang, and A. Ismail Robust filtering for jumping systems with mode-dependent delays Signal Processing 86 1 2006 140 152 (Pubitemid 41681311)
21. P. Shi, Y. Xia, G. Liu, and D. Rees On designing of sliding-mode control for stochastic jump systems IEEE Transactions on Automatic Control 51 1 2006 97 103 (Pubitemid 43137935)
22. ∞ filter design of a class of switched systems with sensor failures International Journal of Innovative Computing Information and Control 5 11(A) 2009 3827 3838
23. A. Skorokhod Asymptotic Methods in the Theory of Stochastic Differential Equations 1989 American Mathematical Society
24. ∞ filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities Automatica 44 5 2008 1268 1277
25. ∞ filtering for a class of nonlinear switched stochastic systems IET Control Theory and Applications 3 5 2009 493 508
26. ∞ filtering for uncertain systems with both discrete and distributed delays Circuits, Systems, and Signal Processing 26 2 2007 229 248 (Pubitemid 47161734)
27. L. Wu, P. Shi, H. Gao, and C. Wang Filtering for 2D Markovian jump systems Automatica 44 7 2008 1849 1858
28. ∞ filter design for singular time-delay systems Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 223 7 2009 1001 1015
29. ∞ filtering for uncertain impulsive stochastic systems under sampled measurements Automatica 39 3 2003 509 516
30. ∞ output feedback control for uncertain stochastic systems with time-varying delays Automatica 40 12 2004 2091 2098
31. L. Zhang, and E. Boukas Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities Automatica 45 2 2009 463 468
32. ∞ filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities Automatica 45 6 2009 1462 1467
33. ∞ control of switched linear discrete-time systems with polytopic uncertainties Optimal Control Applications and Methods 27 5 2006 273 291 (Pubitemid 44662016)