Robust adaptive fuzzy control of nonlinear systems with unknown and time-varying saturation

Asian Journal of Control

Volumn 17, Issue 3, 2015, Pages 791-805

  Lai, Guanyu ^a   Liu, Zhi ^a   Zhang, Yun ^a   Chen, Xin ^a   Chen, Chun Lung Philip ^b  

^a GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF MACAU   (Macao)

Author keywords

Adaptive fuzzy control; Dynamic surface control technique; Nonlinear systems; Strict feedback system; Unknown time varying saturation

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM SYNTHESIS; FUZZY CONTROL; FUZZY LOGIC; NONLINEAR FEEDBACK; NONLINEAR SYSTEMS; TIME VARYING CONTROL SYSTEMS;

ADAPTIVE FUZZY CONTROL; CONSTRAINED CONTROLS; DYNAMIC SURFACE CONTROL; ROBUST ADAPTIVE FUZZY CONTROL; SATURATION PROBLEMS; SEMI-GLOBALLY UNIFORMLY ULTIMATELY BOUNDED; STRICT FEEDBACK SYSTEMS; TIME VARYING;

ADAPTIVE CONTROL SYSTEMS;

EID: 84929286783     PISSN: 15618625     EISSN: 19346093     Source Type: Journal    
DOI: 10.1002/asjc.921     Document Type: Article

References (50)

1. Chen B., X. P. Liu, K. F. Liu, and, C. Lin, " Direct adaptive fuzzy control of nonlinear strict-feedback systems," Automatica, Vol. 45, No. 6, pp. 1530-1535 (2009).
2. Chen B., X. P. Liu, S. S. Ge, and, C. Lin, " Adaptive fuzzy control of a class of nonlinear systems by fuzzy approximation approach," IEEE Trans. Fuzzy Syst., Vol. 20, No. 6, pp. 1012-1021 (2012).
3. Chen W. S., and, Z. Q. Zhang, " Globally stable adaptive backstepping fuzzy control for output-feedback systems with unknown high-frequency gain sign," Fuzzy Sets Syst., Vol. 161, No. 6, pp. 821-836 (2010).
4. Tong S. C., B. Chen, and, Y. F. Wang, " Fuzzy adaptive output feedback control for MIMO nonlinear systems," Fuzzy Sets Syst., Vol. 156, No. 2, pp. 285-299 (2005).
5. Liu Y. J., S. C. Tong, and, T. S. Li, " Observer-based adaptive fuzzy tracking control for a class of uncertain nonlinear MIMO systems," Fuzzy Sets Syst., Vol. 164, No. 1, pp. 25-44 (2011).
6. Liu Y. J., W. Wang, and, S. C. Tong, " Robust adaptive tracking control for nonlinear systems based on bounds of fuzzy approximation parameters," IEEE Trans. Syst. Man Cybern. Part A-Syst. Hum., Vol. 40, No. 1, pp. 170-184 (2010).
7. Yang Y. S., and, C. J. Zhou, " Adaptive fuzzy H∞ stabilization for strict-feedback canonical nonlinear systems via backstepping and small-gain approach," IEEE Trans. Fuzzy Syst., Vol. 13, No. 1, pp. 104-114 (2005).
8. Zou A. M., and, Z. G. Hou, " Adaptive control of a class of nonlinear pure-feedback systems using fuzzy backstepping approach," IEEE Trans. Fuzzy Syst., Vol. 16, No. 4, pp. 886-897 (2008).
9. Wang M., B. Chen, and, P. Shi, " Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems," IEEE Trans. Syst. Man Cybern. Part B-Cybern., Vol. 38, No. 3, pp. 721-730 (2008).
10. Chen B., X. P. Liu, K. F. Liu, and, C. Lin, " Novel adaptive neural control design for nonlinear MIMO time-delay systems," Automatica, Vol. 45, No. 6, pp. 1554-1560 (2009).
11. Ge S. S., F. Hong, and, T. H. Lee, " Adaptive neural network control of nonlinear systems with unknown time delays," IEEE Trans. Autom. Control, Vol. 48, No. 11, pp. 2004-2010 (2003).
12. Chen W. S., and, Y. P. Tian, " Neural network approximation for periodically disturbed functions and applications to control design," Neurocomputing, Vol. 48, No. 16-18, pp. 3891-3900 (2009).
13. Ge S. S., and, C. Wang, " Adaptive neural control of uncertain MIMO nonlinear systems," IEEE Trans. Neural Netw., Vol. 15, No. 3, pp. 674-692 (2004).
14. Li Y. H., S. Qiang, X. Y. Zhuang, and, O. Kaynak, " Robust and adaptive backstepping control for nonlinear system using RBF neural networks," IEEE Trans. Neural Netw., Vol. 15, No. 3, pp. 693-701 (2004).
15. Ge S. S., and, J. Wang, " Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems," IEEE Trans. Neural Netw., Vol. 13, No. 6, pp. 1409-1419 (2002).
16. Kwan C., and, F. Lewis, " Robust backstepping control of nonlinear systems using neural networks," IEEE Trans. Syst. Man Cybern. Part A-Syst. Hum., Vol. 30, No. 6, pp. 753-766 (2000).
17. Chen C. L. P., Y. J. Liu, and, G. X. Wen, " Fuzzy neural network-based adaptive control for a class of uncertain nonlinear stochastic systems," IEEE Trans. Syst. Man Cybern. Part B-Cybern., Vol. 44, No. 5, pp. 583-593 (2013). (doi: 10.1109/TCYB.2013.2262935).
18. Chen C. L. P., G. X. Wen, Y. J. Liu, and, F. Y. Wang, " Adaptive consensus control for a class of nonlinear multi-agent time-delay systems using neural networks," IEEE Trans. Neural Netw., Vol. 25, No. 6, pp. 1217-1226 (2014). (doi: 10.1109/TNNLS.2014.2302477).
19. Swaroop D., J. Hedrick, P. Yip, and, J. Gerdes, " Dynamic surface control for a class of nonlinear systems," IEEE Trans. Autom. Control, Vol. 45, No. 10, pp. 1893-1899 (2000).
20. Chen W. S., and, L. C. Jiao, " Adaptive tracking for periodically time-varying and nonlinearly parameterized system using multilayer neural networks," IEEE Trans. Neural Netw., Vol. 21, No. 2, pp. 345-351 (2010).
21. Chen W. S., L. C. Jiao, R. H. Li, and, J. Li, " Adaptive backstepping fuzzy control for nonlinearly parameterized systems with periodic disturbances," IEEE Trans. Fuzzy Syst., Vol. 18, No. 4, pp. 674-685 (2010).
22. Li T. S., D. Wang, G. Feng, and, S. C. Tong, " A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems," IEEE Trans. Syst. Man Cybern. Part B-Cybern., Vol. 40, No. 3, pp. 915-927 (2010).
23. Wang D., and, J. Huang, " Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form," IEEE Trans. Neural Netw., Vol. 16, No. 1, pp. 195-202 (2005).
24. Chen W. S., and, J. M. Li, " Decentralized output-feedback neural control for systems with unknown interconnections," IEEE Trans. Syst. Man Cybern. Part B-Cybern., Vol. 38, No. 1, pp. 258-266 (2008).
25. Chen W. S., " Adaptive backstepping dynamic surface control for systems with periodic disturbances using neural networks," IET Control Theory Appl., Vol. 3, No. 10, pp. 1383-1394 (2009).
26. Tong S. C., Y. M. Li, G. Feng, and, T. S. Li, " Observer-based adaptive fuzzy backstepping dynamic surface control for a class of MIMO nonlinear systems," IEEE Trans. Syst. Man Cybern. Part B-Cybern., Vol. 41, No. 4, pp. 1124-1135 (2011).
27. Tong S. C., Y. Li, Y. M. Li, and, Y. J. Liu, " Observer-based adaptive fuzzy backstepping control for a class of stochastic nonlinear strict-feedback systems," IEEE Trans. Syst. Man Cybern. Part B-Cybern., Vol. 41, No. 6, pp. 1693-1704 (2011).
28. Zhou Q., 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 (2013).
29. Li T. S., R. G. Li, and, J. F. Li, " Decentralized adaptive neural control of nonlinear interconnected large-scale systems with unknown time delays and input saturation," Neurocomputing, Vol. 74, No. 14, pp. 2277-2283 (2011).
30. Chen M., S. S. Ge, and, B. B. Ren, " Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints," Automatica, Vol. 47, No. 3, pp. 452-465 (2011).
31. Chen M., S. S. Ge, and, V. Bernard, " Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities," IEEE Trans. Neural Netw., Vol. 21, No. 5, pp. 796-812 (2010).
32. Wen C. Y., and, J. Zhou, " Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance," IEEE Trans. Autom. Control, Vol. 56, No. 7, pp. 1672-1678 (2011).
33. Zhong Y. S., " Globally stable adaptive system design for minimum phase SISO plants with input saturation," Automatica, Vol. 41, No. 9, pp. 1539-1547 (2005).
34. Cao Y. Y., and, Z. L. Lin, " Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation," IEEE Trans. Fuzzy Syst., Vol. 11, No. 1, pp. 57-67 (2003).
35. Gao W. Z., and, R. R. Selmic, " Neural network control of a class of nonlinear systems with actuator saturation," IEEE Trans. Neural Netw., Vol. 17, No. 1, pp. 147-156 (2006).
36. Chen Q., and, X. Ren, " Identier-based adaptive neural dynamic surface control for uncertain DC-DC buck converter system with input constraint," Commun. Nonlinear Sci. Numer. Simul., Vol. 17, pp. 1871-1883 (2012).
37. Zhou J., and, C. J. Zhang, " Robust adaptive output control of uncertain nonlinear plants with unknown backlash nonlinearity," IEEE Trans. Autom. Control, Vol. 52, No. 3, pp. 503-509 (2007).
38. Zhou J., C. Y. Wen, and, T. S. Li, " Adaptive output feedback control of uncertain nonlinear systems with hysteresis nonlinearity," IEEE Trans. Autom. Control, Vol. 57, No. 10, pp. 2627-2633 (2012).
39. Zhou J., and, C. Y. Wen, " Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis," IEEE Trans. Autom. Control, Vol. 49, No. 10, pp. 1751-1757 (2004).
40. Zhang X. Y., and, Y. Lin, " Adaptive tracking control for a class of pure-feedback nonlinear systems including actuator hysteresis and dynamic uncertainties," IET Control Theory Appl., Vol. 5, No. 16, pp. 1868-1880 (2011).
41. Zhang X. Y., and, Y. Lin, " An adaptive output feedback dynamic surface control of a class of nonlinear system with unknown backlash-like hysteresis," Asian J. Control, Vol. 15, No. 2, pp. 489-500 (2013).
42. Ruderman M., and, F. Hoffmann, " Modeling and identification of elastic robot joints with hysteresis and backlash," IEEE Trans. Ind. Electron., Vol. 56, No. 10, pp. 3840-3847 (2009).
43. Li Y. M., S. C. Tong, and, T. S. Li, " Adaptive fuzzy output feedback control of uncertain nonlinear systems with unknown backlash-like hysteresis," Inf. Sci., Vol. 198, No. 1, pp. 130-146 (2012).
44. Tan Y. H., and, R. Dong, " Recursive identification of sandwich systems with dead zone and application," IEEE Trans. Control Syst. Technol., Vol. 17, No. 4, pp. 945-951 (2009).
45. Zhou J., and, Y. C. Wen, " Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity," IEEE Trans. Autom. Control, Vol. 51, No. 3, pp. 504-511 (2006).
46. Zhang T. P., and, S. S. Ge, " Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs," Automatica, Vol. 43, No. 6, pp. 1021-1033 (2007).
47. Tong S. C., and, Y. M. Li, " Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones," IEEE Trans. Fuzzy Syst., Vol. 20, No. 1, pp. 168-180 (2012).
48. Tong S. C., and, Y. M. Li, " Adaptive fuzzy output feedback control of MIMO nonlinear systems with unknown dead-zones," IEEE Trans. Fuzzy Syst., Vol. 21, No. 1, pp. 134-146 (2013).
49. Liu Y. J., and, S. C. Tong, " Adaptive fuzzy control for a class of nonlinear discrete-time systems with backlash," IEEE Trans. Fuzzy Syst. (2013). (doi: 10.1109/TFUZZ.2013.2286837).
50. Wu J., W. S. Chen, D. Zhao, and, J. Li, " Globally stable direct adaptive backstepping backstepping NN control for uncertain nonlinear strict-feedback systems," Neurocomputing, Vol. 122, No. 25, pp. 134-147 (2013).