Adaptive Fuzzy Tracking Control of Nonlinear Time-Delay Systems with Dead-Zone Output Mechanism Based on a Novel Smooth Model

IEEE Transactions on Fuzzy Systems

Volumn 23, Issue 6, 2015, Pages 1998-2011

  Liu, Zhi ^a   Lai, Guanyu ^a   Zhang, Yun ^a   Chen, C L Philip ^b  

^a GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF MACAU   (Macao)

Author keywords

Adaptive fuzzy control; backstepping; barrier Lyapunov function (BLF); Lyapunov Krasovskii function; nonsymmetric dead zone output; time delays

Indexed keywords

BACKSTEPPING; CLOSED LOOP CONTROL SYSTEMS; CLOSED LOOP SYSTEMS; CONTROLLERS; DELAY CONTROL SYSTEMS; FUZZY CONTROL; LYAPUNOV FUNCTIONS; NAVIGATION; NONLINEAR SYSTEMS; TIME DELAY;

ADAPTIVE FUZZY CONTROL; BARRIER LYAPUNOV FUNCTION (BLF); DEAD ZONES; FUZZY ADAPTIVE CONTROLLER; LYAPUNOV KRASOVSKII FUNCTION; NONLINEAR TIME DELAY SYSTEMS; OPTIMIZED ALGORITHMS; SYSTEMS WITH TIME DELAY;

ADAPTIVE CONTROL SYSTEMS;

EID: 84959464942     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2015.2396075     Document Type: Article

References (70)

1. W. S. Chen, "Adaptive backstepping dynamic surface control for systems with periodic disturbances using neural networks," IET Control Theory Appl., vol. 3, no. 10, pp. 1383-1394, Oct. 2009.
2. J. Li, W. S. Chen, and J. M. Li, "Adaptive NN output-feedback decentralized stabilization for a class of large-scale stochastic nonlinear strict-feedback systems," Int. J. Robust Nonlinear Control, vol. 21, no. 4, pp. 452-472, Mar. 2011.
3. S. S. Ge and C. Wang, "Adaptive neural control of uncertain MIMO nonlinear systems," IEEE Trans. Neural Netw., vol. 15, no. 3, pp. 674-692, May 2004.
4. Y. H. Li, 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, May 2004.
5. S. S. Ge 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, Nov. 2002.
6. C. Kwan and F. Lewis, "Robust backstepping control of nonlinear systems using neural networks," IEEE Trans. Syst.,Man, Cybern. A, Syst.,Humans, vol. 30, no. 6, pp. 753-766, Nov. 2000.
7. S. I. Han and J.M. Lee, "Partial tracking error constrained fuzzy dynamic surface control for a strict feedback nonlinear dynamic system," IEEE Trans. Fuzzy Syst., vol. 22, no. 5, pp. 1049-1061, Oct. 2014.
8. S. C. Tong, 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, Dec. 2005.
9. S. C. Tong and C. L. Liu, "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.
10. S. I. Han and J. M. Lee, "Output-tracking-error-constrained robust positioning control for a nonsmooth nonlinear dynamic system," IEEE Trans. Ind. Electron., vol. 61, no. 12, pp. 6882-6891, Dec. 2014.
11. W. S. Chen 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, Mar. 2010.
12. Y. J. Liu, S. C. Tong, and W. Wang, "Adaptive fuzzy output tracking control for a class of uncertain nonlinear systems," Fuzzy Sets Syst., vol. 160, no. 19, pp. 2727-2754, Oct. 2009.
13. Y. S. Yang and C. J. Zhou, "Adaptive fuzzy H∞ stabilization for strictfeedback canonical nonlinear systems via backstepping and small-gain approach," IEEE Trans. Fuzzy Syst., vol. 13, no. 1, pp. 104-114, Feb. 2005.
14. B. Chen, X. P. Liu, K. F. Liu, and C. Lin, "Fuzzy approximation-based adaptive control of nonlinear delayed systems with unknown dead zone," IEEE Trans. Fuzzy Syst., vol. 22, no. 2, pp. 237-248, Apr. 2014.
15. B. Chen, 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, Dec. 2012.
16. Q. Zhou and P. Shi, "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.
17. T. P. Zhang and S. S. Ge, "Adaptive neural control ofMIMOnonlinear state time-varying delay systems with unknown dead-zones and gain signs," Automatica, vol. 43, no. 6, pp. 1021-1033, Jun. 2007.
18. B. Chen, 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, Jun. 2009.
19. 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.
20. B. Chen, X. P. Liu, K. Liu, and C. Lin, "Fuzzy-approximationbased adaptive control of strict-feedback nonlinear systems with time delays," IEEE Trans. Fuzzy Syst., vol. 18, no. 5, pp. 883-892, Oct. 2010.
21. S. J. Yoo, J. B. Park, and Y. H. Choi, "Comments on adaptive neural control for a class of nonlinearly parametric time-delay systems," IEEE Trans. Neural Netw., vol. 19, no. 8, pp. 1496-1498, Aug. 2008.
22. Z. X. Yu, S. G. Li, and H. B. Du, "Razumikhin-Nussbaum-lemma-based adaptive neural control for uncertain stochastic pure-feedback nonlinear systems with time-varying delays," Int. J. Robust Nonlinear Control, vol. 23, no. 11, pp. 1214-1239, Jul. 2013.
23. X. H. Jiao and T. L. Shen, "Adaptive feedback control of nonlinear timedelay systems: The LaSalle-Razumikhin-based approach," IEEE Trans. Autom. Control, vol. 50, no. 11, pp. 1909-1913, Nov. 2005.
24. W. Z. Gao 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, Jan. 2006.
25. M. Chen, 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, Mar. 2011.
26. C. Y. Wen 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, Jul. 2011.
27. Z. Lin and A. Saberi, "Low-and-high gain design technique for linear systems subject to input saturation - A direct method," Int. J. Robust Nonlinear Control, vol. 7, no. 12, pp. 1071-1011, 1997.
28. Y. S. Zhong, "Globally stable adaptive system design for minimum phase SISO plants with input saturation," Automatica, vol. 41, no. 9, pp. 1539-1547, Sep. 2005.
29. M. Chen, 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, May 2010.
30. Y. Y. Cao 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, Feb. 2003.
31. X. Y. Zhang and Y. Lin, "Adaptive tracking control for a class of purefeedback nonlinear systems including actuator hysteresis and dynamic uncertainties," IET Control Theory Appl., vol. 5, no. 16, pp. 1868-1880, Apr. 2011.
32. C. Y. Su, Y. Stepanenko, J. Svoboda, and T. P. Leung, "Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis," IEEE Trans. Autom. Control, vol. 45, no. 12, pp. 2427-2432, Dec. 2000.
33. C. Y. Su, Q. Q. Wang, X. K. Chen, and S. Rakheja, "Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis," IEEE Trans. Autom. Control, vol. 50, no. 12, pp. 2069-2073, Dec. 2005.
34. B. B. Ren, S. S. Ge, T. H. Lee, and C. Y. Su, "Adaptive neural control for a class of nonlinear systems with uncertain hysteresis inputs and timevarying state delays," IEEE Trans. Neural Netw., vol. 20, no. 7, pp. 1148-1164, Jul. 2009.
35. B. B. Ren, S. S. Ge, C. Y. Su, and T. H. Lee.,"Adaptive neural control for a class of uncertain nonlinear systems in pure-feedback form with hysteresis input," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 2, pp. 431-443, Apr. 2009.
36. P. P. San, B. B. Ren, S. S. Ge, T. H. Lee, and J. K. Liu, "Adaptive neural network control of hard disk drives with hysteresis friction nonlinearity," IEEE Trans. Control Syst. Technol., vol. 19, no. 2, pp. 351-358, Mar. 2011.
37. B. B. Ren, S. S. Ge, K. P. Tee, and T. H. Lee, "Adaptive neural control for output feedback nonlinear systems using a barrier Lyapunov function," IEEE Trans. Neural Netw., vol. 21, no. 8, pp. 1339-1345, Aug. 2010.
38. J. Zhou, 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, Oct. 2012.
39. Y. M. Li, 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, Sep. 2012.
40. J. Zhou 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, Mar. 2007.
41. O. Klein and P. Krejci, "Outwards pointing hysteresis operators and asymptotic behaviour of evolution equations," Nonlinear Anal.: Real World Appl., vol. 4, no. 5, pp. 755-785, Dec. 2003.
42. T. P. Zhang and S. S. Ge, "Adaptive neural network tracking control of MIMO nonlinear systems with unknown dead zones and control directions," IEEE Trans. Neural Netw., vol. 20, no. 3, pp. 483-497, Mar. 2009.
43. S. C. Tong 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, Feb. 2012.
44. S. C. Tong 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, Feb. 2013.
45. Y. J. Liu and N. Zhou, "Observer-based adaptive fuzzy-neural control for a class of uncertain nonlinear systems with unknown dead-zone input," ISA Trans., vol. 49, no. 4, pp. 462-469, Oct. 2010.
46. T. P. Zhang, H. Wen, and Q. Zhu, "Adaptive fuzzy control of nonlinear system in pure-feedback form based on input-to state stability," IEEE Trans. Fuzzy Syst., vol. 18, no. 1, pp. 80-92, Feb. 2010.
47. G. Tao and P. V. Kokotovic, "Adaptive sliding control of plants with unknown dead-zone," IEEE Trans. Autom. Control, vol. 39, no. 1, pp. 59-68, Jan. 1994.
48. G. Tao and P. V. Kokotovic, "Discrete-time adaptive control of systems with unknown dead-zone," Int. J. Control, vol. 61, no. 1, pp. 1-17, 1995.
49. M.Wang, B. Chen, and P. Shi, "Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 3, pp. 721-730, Jun. 2008.
50. M.Wang, X. P. Liu, and P. Shi, "adaptive neural control of pure-feedback nonlinear time-delay systems via dynamic surface technique," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 41, no. 6, pp. 1681-1692, Dec. 2011.
51. K. P. Tee, S. S. Ge, and E. H. Tay, "Barrier Lyapunov functions for the control of output-constrained nonlinear systems," Automatica, vol. 45, no. 4, pp. 918-927, Apr. 2009.
52. W. S. Chen andL.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, Feb. 2010.
53. W. S. Chen, L. C. Jiao, R. H. Li, and J. Li, "Adaptive backstepping fuzzy control for nonlinearly parameterized systemswith periodic disturbances," IEEE Trans. Fuzzy Syst., vol. 18, no. 4, pp. 674-685, Aug. 2010.
54. H.W. Zhang, F. L. Lewis, and Z. H. Qu, "Lyapunov, adaptive, and optimal design techniques for cooperative systems on directed communication graphs," IEEE Trans. Ind. Electron., vol. 59, no. 7, pp. 3026-3041, Jul. 2012.
55. W. Daniel, J. M. Li, and Y. G. Niu, "Adaptive neural control for a class of nonlinearly parametric time-delay systems," IEEE Trans. Neural Netw., vol. 16, no. 3, pp. 625-635, May 2005.
56. T. S. Li, 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, Jul. 2011.
57. S. J. Yoo and J. B. Park, "Neural-network-based decentralized adaptive control for a class of large-scale nonlinear systems with unknown timevarying delays," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 5, pp. 1316-1323, Oct. 2009.
58. D. W. C. Ho, J. M. Li, and Y. G. Niu, "Adaptive neural control for a class of nonlinearly parametric time-delay system," IEEE Trans. Neural Netw., vol. 16, no. 3, pp. 625-635, May 2005.
59. S. J. Yoo, J. B. Park, and Y. H. Choi, "Adaptive neural control for a class of strict-feedback nonlinear systems with state time delays," IEEE Trans. Neural Netw., vol. 20, no. 7, pp. 1209-1215, Jul. 2009.
60. S. J. Yoo, J. B. Park, and Y. H. Choi, "Adaptive dynamic surface control for stabilization of parameteric strict-feedback nonlinear systems with unknown time delays," IEEE Trans. Autom. Control, vol. 52, no. 12, pp. 2360-2365, Dec. 2007.
61. W. S. Chen andY. P. Tian, "Neural network approximation for periodically disturbed functions and applications to control design," Neurocomput., vol. 48, no. 16-18, pp. 3891-3900, Sep. 2009.
62. Z. Jiang, I. Marreels, D. Hill, and J. Huang, "A unifying framwork for global regulation via nonlinear output feedback: From ISS to iISS," IEEE Trans. Autom. Control, vol. 49, no. 4, pp. 549-562, Apr. 2004.
63. Y. M. Li and S. C. Tong, "Adaptive fuzzy output-feedback control of pure-feedback uncertain nonlinear systems with unknown dead zone," IEEE Trans. Fuzzy Syst., vol. 22, no. 5, pp. 1341-1347, Oct. 2014.
64. S. I. Han and J. M. Lee, "Fuzzy echo state neural networks and funnel dynamic surface control for prescribed performance of a nonlinear dynamic system," IEEE Trans. Ind. Electron., vol. 61, no. 2, pp. 1099-1112, Feb. 2014.
65. Y. M. Li, S. C. Tong, Y. J. Liu, and T. S. Li, "Adaptive fuzzy robust output feedback control of nonlinear systems with unknown dead zones based on a small-gain approach," IEEE Trans. Fuzzy Syst., vol. 22, no. 1, pp. 164-176, Feb. 2014.
66. S. J. Yoo, "Fault detection and accommodation of a class of nonlinear systems with unknown multiple time-delayed faults," Automatica, vol. 50, no. 1, pp. 255-261, Jan. 2014.
67. S. J. Yoo, "Adaptive output-feedback control for nonlinear time-delay systems in pure-feedback form," J. Franklin Institute, vol. 351, no. 7, pp. 3899-3913, Jul. 2014.
68. S. I. Han and J. M. Lee, "Precise positioning of nonsmooth dynamic systems using fuzzy wavelet echo state networks and dynamic surface sliding mode control," IEEE Trans. Ind. Electron., vol. 60, no. 11, pp. 5124-5136, Nov. 2013.
69. S. I. Han and J. M. Lee, "Improved prescribed performance constraint control for a strict feedback non-linear dynamic system," IET Control Theory Appl., vol. 7, no. 14, pp. 1818-1827, Sep. 2013.
70. S. C. Tong, T.Wang, Y. M. Li, and H. G. Zhang, "Adaptive neural network output feedback control for stochastic nonlinear systems with unknown dead-zone and unmodeled dynamics," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 44, no. 6, pp. 910-921, Jun. 2014.