Adaptive Fuzzy Backstepping Control for A Class of Nonlinear Systems with Sampled and Delayed Measurements

IEEE Transactions on Fuzzy Systems

Volumn 23, Issue 2, 2015, Pages 302-312

  Wang, Tong ^a   Zhang, Yifu ^a   Qiu, Jianbin ^a   Gao, Huijun ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Backstepping; delay; fuzzy control; nonlinear systems; sampled data

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CLOSED LOOP SYSTEMS; FUZZY CONTROL; FUZZY LOGIC; NONLINEAR SYSTEMS; SAMPLED DATA CONTROL SYSTEMS;

ADAPTIVE FUZZY BACKSTEPPING CONTROLS; ADAPTIVE FUZZY CONTROL; BACKSTEPPING TECHNIQUE; DELAY; DELAYED MEASUREMENTS; PERFORMANCE ANALYSIS; SAMPLED DATA; SEMI-GLOBALLY UNIFORMLY ULTIMATELY BOUNDED;

BACKSTEPPING;

EID: 84926453167     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2014.2312026     Document Type: Article

References (40)

1. G. Feng, "A survey on analysis and design of model-based fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 676-697, Oct. 2006.
2. ∞ fuzzy output feedback control design for nonlinear systems: An LMI approach," IEEE Trans. Fuzzy Syst., vol. 11, no. 3, pp. 331-340, Jun. 2003.
3. H. K. Lam, "LMI-based stability analysis for fuzzy-model-based control systems using articial T-S fuzzy model," IEEE Trans. Fuzzy Syst., vol. 19, no. 3, pp. 505-513, Jun. 2011.
4. J. Qiu, G. Feng, and H. Gao, "Fuzzy-model-based piecewise H-infinity static output feedback controller design for networked nonlinear systems,"IEEE Trans. Fuzzy Syst., vol. 18, no. 5, pp. 919-934, Oct. 2010.
5. J. Qiu, G. Feng, and H. Gao, "Asynchronous output feedback control of networked nonlinear systems with multiple packet dropouts: T-S fuzzy affine model based approach," IEEE Trans. Fuzzy Syst., vol. 19, no. 6, pp. 1014-1030, Dec. 2011.
6. Q. Zhou, P. Shi, S. Y. Xu, and H. Y. Li, "Adaptive output feedback control for nonlinear time-delay systems by fuzzy approximation approach," IEEE Trans. Fuzzy Syst., vol. 21, no. 2, pp. 301-313, Apr. 2013.
7. J. H. Zhang, P. Shi, and Y. Q. Xia, "Robust adaptive sliding-mode control for fuzzy systems with mismatched uncertainties," IEEE Trans. Fuzzy Syst., vol. 18, no. 4, pp. 700-711, Aug. 2010.
8. H. Liu, "A fuzzy qualitative framework for connecting robot qualitative and quantitative representations," IEEE Trans. Fuzzy Syst., vol. 16, no. 6, pp. 1522-1530, Dec. 2008.
9. H. Liu, D. J. Brown, and G. M. Coghill, "Fuzzy qualitative robot kinematics,"IEEE Trans. Fuzzy Syst., vol. 16, no. 3, pp. 808-822, Jun. 2008.
10. K. Y. Lian, J. J. Liou, and C. Y. Huang, "LMI-based integral fuzzy control of DC-DC converters," IEEE Trans. Fuzzy Syst., vol. 14, no. 1, pp. 71-80, Feb. 2006.
11. H. Y. Li, J. Y. Yu, H. H. Liu, and C. Hilton, "Adaptive sliding mode control for nonlinear active suspension vehicle systems using T-S fuzzy approach," IEEE Trans. Ind. Electron., vol. 60, no. 8, pp. 3328-3338, Aug. 2013.
12. H. Y. Li, H. H. Liu, H. J. Gao, and P. Shi, "Reliable fuzzy control for active suspension systems with actuator delay and fault," IEEE Trans. Fuzzy Syst., vol. 20, no. 2, pp. 342-357, Apr. 2012.
13. W. C. Sun, Z. L. Zhao, and H. J. Gao, "Saturated adaptive robust control for active suspension systems," IEEE Trans. Ind. Electron., vol. 60, no. 9, Sep. 2013.
14. H. Y. Li, X. J. Jing, and H. K. Lam, and P. Shi, "Fuzzy sampled-data control for uncertain vehicle suspension systems," IEEE Trans. Cybern., to be published, DOI: 10.1109/TCYB.2013.2279534, 2014.
15. W. C. Sun, H. J. Gao, and O. Kaynak, "Adaptive backstepping control for active suspension systems with hard constraints," IEEE/ASME Trans. Mechatronics, vol. 18, no. 3, pp. 1072-1079, Jun. 2013.
16. W. C. Sun, H. J. Gao, and B. Yao, "Adaptive robust vibration control of full-car active suspensions with electro-hydraulic actuators," IEEE Trans. Control Syst. Tech., vol. 21, no. 6, pp. 2417-2422, Nov. 2013.
17. H. Lee, "Robust adaptive fuzzy control by backstepping for a class of MIMO nonlinear systems," Automatica, vol. 19, no. 2, pp. 265-275, 2011.
18. ∞ stabilization for strict-feedback canonical nonlinear systems via backstepping and small-gain approach," IEEE Trans. Fuzzy Syst., vol. 13, no. 1, pp. 104-114, Feb. 2005.
19. S. C. Tong and Y. M. Li, "Observer-based fuzzy adaptive control for strict-feedback nonlinear systems," Fuzzy Sets Syst., vol. 160, no. 12, pp. 1749-1764, 2009.
20. S. C. Tong, X. L. He, and H. Zhang, "A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1059-1069, Oct. 2009.
21. S. C. Tong, C. Y. Li, and Y. M. Li, "Fuzzy adaptive observer backstepping control for MIMO nonlinear systems," Fuzzy Sets Syst., vol. 160, no. 19, pp. 2755-2775, 2009.
22. S. C. Tong, C. L. Liu, and Y. M. Li, "Fuzzy adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties,"IEEE Trans. Fuzzy Syst., vol. 18, no. 5, pp. 845-861, Oct. 2010.
23. Q. Zhou, P. Shi, J. J. Lu, and S. Y. Xu, "Adaptive output-feedback fuzzy tracking control for a class of nonlinear systems," IEEE Trans. Fuzzy Syst., vol. 19, no. 5, pp. 972-982, Oct. 2011.
24. Q. Zhou, P. Shi, H. H. Liu, and S. Y. Xu, "Neural network based decentralized adaptive output-feedback control for large-scale stochastic nonlinear systems," IEEE Trans. Syst., Man, Cybern. B, vol. 42, no. 6, pp. 1608-1619, Dec. 2012.
25. M. Kristic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design. New York, NY, USA: Wiley, 1995.
26. T. W. Chen and B. Francis, Optimal Sampled-Data Control Systems. Berlin, Germany: Springer-Verlag, 1995.
27. E. Fridman, A. Seuret, and J. P. Richard, "Robust sampled-data stabilization of linear systems: An input delay approach," Automatica, vol. 40, no. 8, pp. 1441-1446, 2004.
28. L. S. Hu, T.Bai, P. Shi, and Z. M.Wu, "Sampled-data control of networked linear control systems," Automatica, vol. 43, no. 5, pp. 903-911, 2007.
29. H. J. Gao, T. W. Chen, and J. Lam, "A new delay system approach to network-based control," Automatica, vol. 44, no. 1, pp. 39-52, 2008.
30. H. J. Gao and T. W. Chen, "A new approach to quantized feedback control systems," Automatica, vol. 44, no. 2, pp. 534-542, 2008.
31. H. Khalil, "Performance recovery under output feedback sampled-data stabilization of a class of nonlinear systems," IEEE Trans. Autom. Control, vol. 49, no. 12, pp. 2173-2184, 2004.
32. B. Z.Wu and Z. T. Ding, "Asymptotic stabilization of a class of nonlinear systems via sampled-data output feedback control," Int. J. Control, vol. 82, no. 9, pp. 1738-1746, 2009.
33. C. J. Qian and H. B.Du, "Global output feedback stabilization of a class of nonlinear systems via linear sampled-data control," IEEE Trans. Autom. Control, vol. 57, no. 11, pp. 2934-2939, Nov. 2012.
34. D. Nesic and A. R. Teel, "A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models,"IEEE Trans. Autom. Control, vol. 49, no. 7, pp. 1103-1122, Jul. 2004.
35. G. C. Walsh, O. Beldiman, and L. G. Bushnell, "Asymptotic behavior of nonlinear networked control systems," IEEE Trans. Autom. Control, vol. 46, no. 7, pp. 1093-1097, Jul. 2001.
36. M. Yu, L. Wang, and T. Chu, "Sampled-data stabilisation of networked control systems with nonlinearity," IEE Proc.-Control Theory Appl., vol. 152, no. 6, pp. 609-614, 2005.
37. H. K. Lam, "Stabilization of nonlinear systems using sampled-data output-feedback fuzzy controller based on polynomial-fuzzy-model-based control approach," IEEE Trans. Syst., Man, Cybern. B, vol. 42, no. 1, pp. 258-267, Feb. 2012.
38. S. Yin, S. Ding, and H. Luo, "Real-time implementation of fault tolerant control system with performance optimization," IEEE Trans. Ind. Electron., vol. 61, no. 5, pp. 2402-2411, May 2014.
39. S. Yin, S. Ding, A. Haghani, H. Hao, and P. Zhang, "A comparison study of basic data-driven fault diagnosis and process monitoring methods on the benchmark Tennessee Eastman process," J. Process Control, vol. 22, no. 9, pp. 1567-1581, 2012.
40. Z. Qu, Robust Control of Nonlinear Uncertain Systems. New York, NY, USA: Wiley, 1998.