Adaptive neural control for a class of uncertain stochastic nonlinear systems with dead-zone

Journal of Systems Engineering and Electronics

Volumn 22, Issue 3, 2011, Pages 500-506

  Yu, Zhaoxu ^a   Du, Hongbin ^a  

^a EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Adaptive control; Backstepping; Neural network (NN); Stochastic nonlinear system

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE NEURAL CONTROL; ADAPTIVE STABILIZATION; BACK-STEPPING METHOD; COMPACT SETS; DEAD-ZONE; ERROR VARIABLES; GAIN FUNCTION; LEARNING PARAMETERS; SEMI-GLOBALLY UNIFORMLY ULTIMATELY BOUNDED; SIMULATION RESULT; STABILITY ANALYSIS; STABILIZATION PROBLEMS; STOCHASTIC NONLINEAR SYSTEMS; STRICT FEEDBACK SYSTEMS;

BACKSTEPPING; FEEDBACK CONTROL; NEURAL NETWORKS; NONLINEAR FEEDBACK; NONLINEAR SYSTEMS; STABILIZATION; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 79959562112     PISSN: 10044132     EISSN: None     Source Type: Journal    
DOI: 10.3969/j.issn.1004-4132.2011.03.020     Document Type: Article

References (20)

1. P. Florchinger. Lyapunov-like techniques for stochastic stability. SIAM Journal on Control and Optimization, 1995, 33(4): 1151-1169.
2. P. Florchinger. Feedback stabilization of affine in the control stochastic differential systems by the control Lyapunov function method. SIAM Journal on Control and Optimization, 1997, 35(2): 500-511. (Pubitemid 127577131)
3. Z. G. Pan, T. Basar. Adaptive controller design for tracking and disturbance attenuation in parameter-feedback nonlinear systems. IEEE Trans. on Automatic Control, 1998, 43(8): 1066-1083. (Pubitemid 128737387)
4. H. Deng, M. Kristic. Stochastic nonlinear stabilization-PART I: a backstepping design. Systems and Control letters, 1997, 32(3):143-150. (Pubitemid 127452066)
5. H. Deng, M. Kristic. Stochastic nonlinear stabilization-PART II: inverse optimality. Systems and Control letters, 1997, 32(3): 151-159. (Pubitemid 127452067)
6. X. Mu, H. Liu. Stabilization for a class of stochastic nonlinear systems via output feedback. IEEE Trans. on Automatic Control, 2008, 53(1): 361-367.
7. R. Z. Khasminskii. Stochastic stability of differential equation. Rockville, MD: S. & N. International Publishing, 1980.
8. T. Zhang, S. S. Ge, C. C. Hang. Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica, 2000, 36(12): 1835-1846.
9. W. Y. Wang, M. L. Chan, C. H. Liu. Adaptive fuzzy control for strict-feedback canonical nonlinear systems with H∞ tracking performance. IEEE Trans. on System, Man and Cybernetics, Part B: Cybernetics, 2000, 30(6): 878-885.
10. H. B. Du, H. H. Shao, S. S. Ge. Adaptive neural network control for a class of low-triangularstructured nonlinear systems. IEEE Trans. on Neural Networks, 2006, 17(2): 509-514.
11. H. E. Psillakis, A. T. Alexandridis. NN-based adaptive tracking control of uncertain nonlinear systems disturbed by unknown covariance noise. IEEE Trans. on Neural Networks, 2007, 18(6): 1830-1835. (Pubitemid 350148430)
12. J. Yang, J. C. Ni, W. S. Chen. Adaptive output feedback stochastic nonlinear stabilization using neural network. Proc. of the 4th International Symposium on Neural Networks: Advances in Neural Networks, 2007:158-165. (Pubitemid 350270362)
13. Y. C. Wang, H. G. Zhang, Y. Z. Wang. Fuzzy adaptive control of stochastic nonlinear systems with unknown virtual control gain function. ACTA Automatica Sinica, 2006, 32(2): 170-178.
14. G. Tao, P. V. Kokotovic. Adaptive sliding control of plants with unknown dead-zone. IEEE Trans. on Automatic Control, 1994, 39(1):59-68.
15. J. Zhou, C. Wen, Y. Zhang. Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity. IEEE Trans. on Automatic Control, 2006, 51(3):504-511.
16. T. P. Zhang, S. S. Ge. Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs. Automatic, 2007, 43(6):1021-1033. (Pubitemid 46653816)
17. J. J. Yu, K. J. Zhang, S. M. Fei. Direct fuzzy tracking control of a class of nonaffine stochastic nonlinear systems with unknown dead-zone input. The 17th World Congress on the International Federation of Automatic Control, 2008: 12236-12241.
18. S. S. Ge, C. C. Huang, T. Lee, et, al. Stable adaptive neural network control. USA: Kluwer Academic, 2002.
19. M. M. Plolycarpou. Stable adaptive neural control scheme for nonlinear systems. IEEE Trans. on Automatic Control, 1996, 41(3): 447-451.
20. S. Battiloti, A. D. Santis. Stabilization in probability of nonlinear stochastic systems with guaranteed region of attraction and target set. IEEE Trans. on Automatic Control, 2003, 48(9): 1585-1599.