Adaptive neural tracking control for stochastic nonlinear strict-feedback systems with unknown input saturation

Information Sciences

Volumn 269, Issue , 2014, Pages 300-315

  Wang, Huanqing ^a,c   Chen, Bing ^a   Liu, Xiaoping ^b   Liu, Kefu ^b   Lin, Chong ^a  

^a QINGDAO UNIVERSITY   (China)

^b LAKEHEAD UNIVERSITY   (Canada)

^c BOHAI UNIVERSITY   (China)

Author keywords

Adaptive neural tracking control; Backstepping technique; Input saturation; Stochastic nonlinear system

Indexed keywords

BACKSTEPPING; NAVIGATION; STOCHASTIC CONTROL SYSTEMS;

ADAPTIVE NEURAL CONTROL; BACKSTEPPING TECHNIQUE; BOUNDED IN PROBABILITIES; INPUT SATURATION; SINGLE INPUT/SINGLE OUTPUTS; STOCHASTIC NONLINEAR STRICT-FEEDBACK SYSTEMS; STOCHASTIC NONLINEAR SYSTEMS; TRACKING CONTROLS;

CLOSED LOOP CONTROL SYSTEMS;

EID: 84897099734     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.09.043     Document Type: Article

References (59)

1. T.M. Apostol Mathematical Analysis 1963 Addison-Wesley Reading, MA
2. Y.C. Chang, and B.S. Chen A nonlinear adaptive H tracking control design in robotic systems via neural networks IEEE Transactions on Control Systems Technology 5 1996 13 29
3. B. Chen, X.P. Liu, K.F. Liu, and C. Lin Direct adaptive fuzzy control of nonlinear strict-feedback systems Automatica 45 2009 1530 1535
4. B. Chen, X.P. Liu, K.F. Liu, P. Shi, and C. Lin Direct adaptive fuzzy control for nonlinear systems with time-varying delays Information Sciences 180 2010 776 792
5. B. Chen, X.P. Liu, K.F. Liu, and C. Lin Adaptive control for nonlinear MIMO time-delay systems based on fuzzy approximation Information Sciences 222 2013 576 592
6. M. Chen, S.S. Ge, and B. How Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities IEEE Transactions on Neural Networks 21 2010 796 812
7. M. Chen, S.S. Ge, and B.B. Ren Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints Automatica 47 2011 452 455
8. W.S. Chen, L.C. Jiao, J. Li, and R.H. Li Adaptive NN backstepping output-feedback control for stochastic nonlinear strict-feedback systems with time-varying delays IEEE Transactions on System, Man and Cybernetics - Part B: Cybernetics 40 2010 939 950
9. H. Deng, and M. Krstić Stochastic nonlinear stabilization Part I: A Backstepping design, Systems & Control Letters 32 1997 143 150
10. H. Deng, M. Krstić, and R.J. Willians Stabilization of stochastic nonlinear systems driven by noise of unknown covariance IEEE Transactions on Automatic Control 46 2001 1237 1253
11. W.Z. Gao, and R.R. Selmic Neural network control of a class of nonlinear systems with actuator saturation IEEE Transactions on Neural Networks 17 2006 147 156
12. S.S. Ge, and J. Wang Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems IEEE Transactions on Neural Networks 13 2002 1409 1419
13. S.S. Ge, C.C. Hang, and T. Zhang Adaptive neural network control of nonlinear systems by state and output feedback IEEE Transactions on System, Man and Cybernetics - Part B: Cybernetics 29 1999 818 828
14. S.S. Ge, and C. Wang Adaptive neural control of uncertain MIMO nonlinear systems IEEE Transactions on Neural Networks 15 2004 674 692
15. S.S. Ge, and C. Wang Uncertain chaotic system control via adaptive neural design International Journal of Bifurcation Chaos 12 2002 1097 1109
16. H.B. Ji, and H.S. Xi Adaptive output-feedback tracking of stochastic nonlinear systems IEEE Transactions on Automatic Control 51 2006 355 360
17. R.Z. Khas'minskii Stochastic Stability of Differential Equations 1980 Kluwer Academic Publishers. Norwell, MA
18. M. Krstic, I. Kanellakopoulos, and P.V. Kokotovic Nonlinear and Adaptive Control Design 1995 Wiley New York
19. Y. Kourd, D. Lefebvre, and N. Guersi Fault diagnosis based on neural networks and decision trees: application to DAMADICS International Journal of Innovative Computing, Information and Control 9 2013 3185 3196
20. A.J. Kurdila, F.J. Narcowich, and J.D. Ward Persistency of excitation in identification using radial basis function approximants SIAM Journal of Control and Optimization 33 1995 625 642
21. 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 International Journal of Robust and Nonlinear Control 21 2011 452 472
22. T.S. Li, S.C. Tong, and G. Feng A novel robust adaptive fuzzy tracking control for a class of nonlinear multi-input/multi-output systems IEEE Transactions on Fuzzy Systems 18 2010 150 160
23. T.S. Li, D. Wang, G. Feng, and S.C. Tong A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems IEEE Transactions on System, Man and Cybernetics - Part B: Cybernetics 40 2010 915 927
24. Y. Li, S.C. Tong, and Y.M. Li Observer-based adaptive fuzzy backstepping control for strict-feedback stochastic nonlinear systems with time delays International Journal of Innovative Computing, Information and Control 8 2012 8103 8114
25. Y.M. Li, S.C. Tong, and T.S. Li Adaptive fuzzy output feedback control of uncertain nonlinear systems with unknown backlash-like hysteresis Information Sciences 198 2012 130 146
26. T.C. Lin, C.H. Wang, and H.L. Liu Observer-based indirect adaptive fuzzy-neural tracking control for nonlinear SISO systems using VSS and H approaches Fuzzy Sets and Systems 143 2004 211 232
27. Y.G. Liu, and J.F. Zhang Practical output feedback risk-sensitive control for stochastic nonlinear systems under stable zero-dynamics SIAM Journal on Control and Optimization 45 2006 885 926
28. Y.J. Liu, C.L.P. Chen, G.X. Wen, and S.C. Tong Adaptive neural output feedback tracking control for a class of uncertain discrete-time nonlinear systems IEEE Transactions on Neural Networks 22 2011 1162 1167
29. S.J. Liu, J.F. Zhang, and Z.P. Jiang Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems Automatica 43 2007 238 251
30. Z. Pan, and T. Basa Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion SIAM Journal on Control and Optimization 37 1999 957 995
31. M.M. Ploycarpou, and P.A. Ioannou A robust adaptive nonlinear control design Automatica 32 1996 423 427
32. N.O. Perez-Arancibia, T.-C. Tsao, and J.S. Gibson Saturation-induced instability and its avoidance in adaptive control of hard disk drives IEEE Transactions on Control Systems and Technology 18 2010 368 382
33. H.E. Psillakis, and A.T. Alexandridis NN-based adaptive tracking control of uncertain nonlinear systems disturbed by unknown covariance noise IEEE Transactions on Neural Networks 18 2007 1830 1835
34. R.M. Sanner, and J.E. Slotine Gaussian networks for direct adaptive control IEEE Transactions on Neural Network 3 1992 837 863
35. K.S. Shih, T.H.S. Li, and S.H. Tsai Observer-based adaptive fuzzy robust controller with self-adjusted membership functions for a class of uncertain MIMO nonlinear systems: a PSO-SA method International Journal of Innovative Computing, Information and Control 8 2012 1419 1437
36. X. Su, Z. Li, Y. Feng, and L. Wu New global exponential stability criteria for interval-delayed neural networks Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 225 2011 125 136
37. X. Su, P. Shi, L. Wu, and Y. Song A novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay IEEE Transactions on Fuzzy Systems 20 2012 1114 1129
38. M. Tanaka Special issue on recent advances in stochastic systems theory and its applications International Journal of Innovative Computing, Information and Control 8 2012 2181-2181
39. S.C. Tong, X.L. He, and Y.M. Li Direct adaptive fuzzy backstepping robust control for single input and single output uncertain nonlinear systems using small-gain approach Information Sciences 180 2010 1738 1758
40. 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 Transactions on Fuzzy Systems 18 2010 845 861
41. S.C. Tong, and Y.M. Li Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones IEEE Transactions on Fuzzy Systems 20 2012 168 180
42. S.C. Tong, and Y.M. Li Observer-based fuzzy adaptive control for strict-feedback nonlinear systems Fuzzy Sets and Systems 160 2009 1749 1764
43. S.C. Tong, 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 Transactions on System, Man and Cybernetics - Part B: Cybernetics 41 2011 1693 1704
44. C. Wang, D.J. Hill, S.S. Ge, and G.R. Chen An ISS-modular approach for adaptive neural control of pure-feedback systems Automatica 42 2006 723 731
45. M. Wang, B. Chen, and S.L. Dai Direct adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear systems Fuzzy Sets and Systems 158 2007 2655 2670
46. M. Wang, B. Chen, K.F. Liu, X.P. Liu, and S.Y. Zhang Adaptive fuzzy tracking control of nonlinear time-delay systems with unknown virtual control coefficients Information Sciences 178 2008 4326 4340
47. Y.C. Wang, H.G. Zhang, and Y.Z. Wang Fuzzy adaptive control of stochastic nonlinear systems with unknown virtual control gain function Acta Automatica Sinica 32 2006 170 178
48. C.Y. Wen, J. Zhou, Z.T. Liu, and H.Y. Su Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance IEEE Transactions on Automatic Control 56 2011 1672 1678
49. Z.J. Wu, X.J. Xie, and S.Y. Zhang Adaptive backstepping controller design using stochastic small-gain theorem Automatica 43 2007 608 620
50. Z.J. Wu, X.J. Xie, P. Shi, and Y.Q. Xia Backstepping controller design for a class of stochastic nonlinear systems with Markovian switching Automatica 45 2009 997 1004
51. X.J. Xie, and J. Tian State-feedback stabilization for high-order stochastic nonlinear systems with stochastic inverse dynamics International Journal of Robust and Nonlinear Control 17 2007 1343 1362
52. X.J. Xie, and J. Tian Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization Automatica 45 2009 126 133
53. R.N. Yang, Z.X. Zhang, and P. Shi Exponential stability on stochastic neural networks with discrete interval and distributed delays IEEE Transactions on Neural Networks 21 2010 169 175
54. R.N. Yang, H.J. Gao, and P. Shi Novel robust stability criteria for stochastic hopfield neural networks with time delays IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics 39 2009 467 474
55. Y.S. Yang, G. Feng, and J.S. Ren A combined backstepping and small-gain approach to robust adaptive fuzzy control for strict-feedback nonlinear systems IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 34 2004 406 420
56. T. Zhang, S.S. Ge, and C.C. Hang Stable adaptive control for a class of nonlinear systems using a modified Lyapunov function IEEE Transactions on Automatic Control 45 2000 129 132
57. T.P. Zhang, and S.S. Ge Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs Automatica 43 2007 1021 1033
58. T.P. Zhang, and S.S. Ge Adaptive neural network tracking control of MIMO nonlinear systems with unknown dead zones and control directions IEEE Transactions on Neural Networks 20 2009 483 497
59. Y.S. Zhong Globally stable adaptive system design for minimum phase SISO plants with input saturation Automatica 41 2005 1539 1547