Observer-based sliding mode control for Itô stochastic time-delay systems with limited capacity channel

Journal of the Franklin Institute

Volumn 349, Issue 4, 2012, Pages 1602-1616

  Liu, Ming ^a   Sun, Guanghui ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DESIGN CONTROL; LIMITED CAPACITY; NETWORK COMMUNICATIONS; NETWORKED CONTROLS; PIECEWISE CONSTANT; QUANTIZERS; REACHABILITY; SLIDING MODE CONTROLLER; SLIDING MODE SURFACE; SLIDING SURFACE; STATE OBSERVER; STOCHASTIC TIME DELAY SYSTEM; SWITCHING TIME; SYSTEM STATE;

DELAY CONTROL SYSTEMS; STOCHASTIC SYSTEMS; TIME DELAY;

SLIDING MODE CONTROL;

EID: 84859162292     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2011.06.021     Document Type: Article

References (34)

1. M. Chan, C. Tao, and T. Lee Sliding mode controller for linear systems with mismatched time-varying uncertainties Journal of the Franklin Institute 337 23 2000 105 115
2. M. Corradini, and G. Orlando Robust quantized feedback stabilization of linear systems Automatica 44 9 2008 2458 2462
3. N. Elia, and S. Mitter Stabilization of linear systems with limited information IEEE Transactions on Automatic Control 46 9 2001 1384 1400
4. G. Escobar, A. Stankovic, E. Galvan, J. Carrasco, and R. Ortega A family of switching control strategies for the reduction of torque ripple in DTC IEEE Transactions on Control Systems Technology 11 6 2003 933 939
5. E. Fridman, F. Gouaisbaut, M. Dambrine, and J. Richard Sliding mode control of systems with time-varying delays via descriptor approach International Journal of Systems Science 34 8 2003 553 559
6. H∞ Estimation for uncertain systems with limited communication capacity IEEE Transactions on Automatic Control 52 11 2007 2070 2084
7. H. Gao, and T. Chen A new approach to quantized feedback control systems Automatica 44 2 2008 534 542
8. D. Higham An algorithmic introduction to numerical simulation of stochastic differential equations SIAM Review 2001 525 546
9. M. Jang, C. Chen, and Y. Tsao Sliding mode control for active magnetic bearing system with flexible rotor Journal of the Franklin Institute 342 4 2005 401 419
10. H∞ control of systems over communication networks using a deterministic switching system approach Automatica 40 7 2004 1205 1212
11. A. Levant, and L. Fridman Accuracy of homogeneous sliding modes in the presence of fast actuators IEEE Transactions on Automatic Control 55 3 2010 810 814
12. H∞ non-fragile observer-based sliding mode control for uncertain time-delay systems Journal of the Franklin Institute 347 2 2010 567 576
13. 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
14. 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
15. 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
16. Y. Niu, J. Lam, and X. Wang Sliding-mode control for uncertain neutral delay systems IET Control Theory and Applications 151 1 2004 38 44
17. B. Ogunnaike, and W. Ray Incomplete state feedback for time delay systems: observer applications in multidelay compensation AIChE Journal 30 5 1984 717 724
18. N. Orani, A. Pisano, and E. Usai Fault diagnosis for the vertical three-tank system via high-order sliding-mode observation Journal of the Franklin Institute 347 6 2010 923 939
19. M. Pai Design of adaptive sliding mode controller for robust tracking and model following Journal of the Franklin Institute 347 10 2010 1837 1849
20. P. Shi, E. Boukas, and R. Agarwal Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay IEEE Transactions on Automatic Control 44 11 2002 2139 2144
21. P. Shi, E. Boukas, S. Nguang, and X. Guo Robust disturbance attenuation for discrete-time active fault tolerant control systems with uncertainties Optimal Control Applications and Methods 24 2 2003 85 101
22. 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
23. 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
24. Y. Shi, and B. Yu Output feedback stabilization of networked control systems with random delays modeled by Markov chains IEEE Transactions on Automatic Control 54 7 2009 1668 1674
25. A. Skorokhod, Asymptotic Methods in the Theory of Stochastic Differential Equations, American Mathematical Society, 1989.
26. C. Tan, and C. Edwards Sliding mode observers for detection and reconstruction of sensor faults Automatica 38 10 2002 1815 1821
27. L. Wu, and D.W.C. Ho Sliding mode control of singular stochastic hybrid systems Automatica 46 2 2010 779 783
28. L. Wu, P. Shi, and H. Gao State estimation and sliding-mode control of Markovian jump singular systems IEEE Transactions on Automatic Control 55 5 2010 1213 1219
29. L. Wu, C. Wang, and Q. Zeng Observer-based sliding mode control for a class of uncertain nonlinear neutral delay systems Journal of the Franklin Institute 345 3 2008 233 253
30. Y. Xia, Z. Zhu, C. Li, H. Yang, and Q. Zhu Robust adaptive sliding mode control for uncertain discrete-time systems with time delay Journal of the Franklin Institute 347 1 2010 339 357
31. X. Yan, and C. Edwards Adaptive sliding-mode-observer-based fault reconstruction for nonlinear systems with parametric uncertainties IEEE Transactions on Industrial Electronics 55 11 2008 4029 4036
32. X. Yan, S. Spurgeon, and C. Edwards Sliding mode control for time-varying delayed systems based on a reduced-order observer Automatica 46 8 2010 1354 1362
33. H∞ control with missing measurements and time delays IEEE Transactions on Automatic Control 52 9 2007 1666 1672
34. H. Yang, Y. Xia, and P. Shi Observer-based sliding mode control for a class of discrete systems via delta operator approach Journal of the Franklin Institute 347 7 2010 1199 1213