Adaptive neural control of nonlinear MIMO systems with unknown time delays

Neurocomputing

Volumn 78, Issue 1, 2012, Pages 83-88

  Li, Tieshan ^a,b   Li, Ronghui ^a   Wang, Dan ^a  

^a DALIAN MARITIME UNIVERSITY   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Adaptive control; Lyapunov Krasovskii functions; Neural networks; Time delay systems

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE NEURAL CONTROL; ADAPTIVE PARAMETERS; CONTROL SCHEMES; DYNAMIC SURFACE CONTROL; LYAPUNOV KRASOVSKII FUNCTION; LYAPUNOV-KRASOVSKII FUNCTIONALS; MULTI INPUT AND MULTI OUTPUTS; NN CONTROL; NONLINEAR FUNCTIONS; NONLINEAR MIMO SYSTEMS; NONLINEAR TIME-DELAY SYSTEMS; TIME-DELAY SYSTEMS; TRACKING CONTROLLER; TRACKING ERRORS; UNIFORM ULTIMATE BOUNDEDNESS; UNKNOWN TIME DELAYS;

CONTROLLERS; DELAY CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; MIMO SYSTEMS; NEURAL NETWORKS; TIME DELAY;

ADAPTIVE CONTROL SYSTEMS;

ALGORITHM; ARTICLE; ARTIFICIAL NEURAL NETWORK; ERROR; FEEDBACK SYSTEM; FUZZY SYSTEM; MINIMAL LEARNING PARAMETERS ALGORITHM; MULTI INPUT AND MULTI OUTPUT NONLINEAR TIME DELAY SYSTEM; NONLINEAR SYSTEM; PRIORITY JOURNAL; RADIAL BASED FUNCTION; SIMULATION; TIME; TIME DELAY;

EID: 82655173880     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2011.04.043     Document Type: Article

References (35)

1. Yesidirek A., Lewis F.L. Feedback linearization using neural networks. Automatica 1995, 31(11):1659-1664.
2. Polycarpou M. Stable adaptive neural control scheme for nonlinear systems. IEEE Trans. Automat. Contr. 1996, 41:447-451.
3. Krstic M., Kanellakopoulos I., Kokotovic P.V. Nonlinear and Adaptive Control Design 1995, Wiley, New York.
4. Kwan C., Lewis F.L. Robust backstepping control of nonlinear systems using neural networks. IEEE Trans. Syst. Man Cybern., Part A 2000, 30:753-766.
5. Zhang Y., Peng P.Y., Jiang Z.P. Stable neural controller design for unknown nonlinear systems using backstepping. IEEE Trans. Neural Networks 2000, 11:1347-1359.
6. Zhou J., E Meng J., Zurada J.M. Adaptive neural network control of uncertain nonlinear systems with nonsmooth actuator nonlinearities. Neurocomputing 2007, 70(4-6):1062-1070.
7. Liu Y.J., Tong S.C., Li Y.M. Adaptive neural network tracking control for a class of non-linear systems. Int. J. Syst. Sci. 2010, 40(2):143-158.
8. Yao B., Tomizuka M. Adaptive robust control of MIMO nonlinear systems in semi-strict feedback forms. Automatica 2001, 37(9):1305-1321.
9. Ge S.S., Hang C., Zhang T. Stable adaptive control for multivariable systems with a triangular control structure. IEEE Trans. Automat. Contr. 2000, 45:1221-1225.
10. Gao Y., Er M.-J. Online adaptive fuzzy neural identification and control of a class of MIMO nonlinear systems. IEEE Trans. Fuzzy Syst. 2003, 11(4):462-477.
11. Ge S.S., Wang C. Adaptive neural control of uncertain MIMO nonlinear systems. IEEE Trans. Neural Networks 2004, 15(3):674-692.
12. Hou Z.-G., Gupta M., et al. A recurrent neural network for hierarchical control of interconnected dynamic systems. IEEE Trans. Neural Networks 2007, 18(2):466-481.
13. Tong S.C., Li C.Y., Li Y.M. Fuzzy adaptive observer backstepping control for MIMO nonlinear systems. Fuzzy Sets Syst. 2009, 160(19):2755-2775.
14. Tong S.C., He X.L., Zhang H.G. A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control. IEEE Trans. Fuzzy Syst. 2009, 17(5):1059-1069.
15. Tong S.C., Liu C.L., Li Y.M. Fuzzy adaptive decentralized control for large-scale nonlinear systems with dynamical uncertainties. IEEE Trans. Fuzzy Syst. 2010, 18(5):845-861.
16. Chen W.S., Li J.M. Globally decentralized adaptive backstepping neural network tracking control for unknown nonlinear interconnected systems. Asian J. Control 2010, 1 12(1):96-102.
17. Liu Y.-J., Zhou N. Observer-based adaptive fuzzy-neural control for a class of uncertain nonlinear systems with unknown dead-zone input. ISA Trans. 2010, 49(4):462-469.
18. Liu Y.-J., Tong S.-C., -S Li T. Observer-based adaptive fuzzy tracking control for a class of uncertain nonlinear MIMO systems. Fuzzy Sets Syst. 2011, 164(1):25-44.
19. Li T.S., Wang D., Feng G., Tong S.C. A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems. IEEE Trans. Syst. Man Cybern., Part B: Cybern. 2010, 40(3):915-923.
20. Yip P., Hedrick J.K. Adaptive dynamic surface control: a simplified algorithm for adaptive backstepping control of nonlinear systems. Int. J. Control 1998, 71(5):959-979.
21. Wang D., Huang J. Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans. Neural Networks 2005, 16(1):195-202.
22. Yang Y.S., Li T.S., Wang X.F. Robust adaptive neural network control for strict-feedback nonlinear systems via small-gain approaches. Lect. Notes Comput. Sci. 2006, 3972:888-897.
23. Yang Y.S., Wang X.F. Adaptive NN tracking control for a class of uncertain nonlinear systems using radial-basis-function neural networks. Neurocomputing 2007, 70:932-941.
24. Li T.S., Feng G., Wang D. Neural-network-based simple adaptive control of uncertain MIMO nonlinear systems. IET Control Theor. Appl. 2010, 4(9):1543-1557.
25. Li T.S., Tong S.C., Feng G. A novel robust adaptive fuzzy tracking control for a class of MIMO systems. IEEE Trans. Fuzzy Syst. 2010, 18(1):150-160.
26. Richard J.-P. Time-delay systems: an overview of some recent advances and open problems. Automatica 2003, 39:1667-1694.
27. Zhang H.G., Wang Z.S., Liu D.R. Global asymptotic stability of recurrent neural networks with multiple time-varying delays. IEEE Trans. Neural Networks 2008, 19(5):855-873.
28. Wang Z.S., Zhang H.G. Global asymptotic stability of reaction-diffusion cohen-grossberg neural networks with continuously distributed delays. IEEE Trans. Neural Networks 2010, 21(1):39-49.
29. Ge S.S., Tee K.P. Approximation-based control of nonlinear MIMO time-delay systems. Automatica 2007, 43(1):31-43.
30. Zhang T., Ge S.S. Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs. Automatica 2007, 43(6):1021-1033.
31. Zhu Q., Fei S., Zhang T., Li T. Adaptive RBF neural-networks control for a class of time-delay nonlinear systems. Neurocomputing 2008, 71(16-18):3617-3624.
32. Zhu Q., Zhang T., Fei S., Zhang K., Li T. Adaptive neural control for a class of output feedback time delay nonlinear systems. Neurocomputing 2009, 72(7-9):1985-1992.
33. Chen B., Liu X.-P., Liu K., Lin C. Novel adaptive neural control design for nonlinear MIMO time-delay systems. Automatica 2009, 45(6):1554-1560.
34. S.J. Yoo, J.B. Park, Y.H. Choi, Adaptive neural dynamic surface control of nonlinear time-delay systems with model uncertainties, in: Proceedings of the 2006 American Control Conference, Minneapolis, Minnesota, USA, June 14-16, 2006, pp. 3140-3145.
35. Lin W., Qian C. Adaptive control of nonlinearly parameterized systems: the smooth feedbackcase. IEEE Trans. Autom. Control 2002, 47(8):1249-1266.