Novel adaptive neural control design for nonlinear MIMO time-delay systems

Automatica

Volumn 45, Issue 6, 2009, Pages 1554-1560

  Chen, Bing ^a   Liu, Xiaoping ^b   Liu, Kefu ^b   Lin, Chong ^a  

^a QINGDAO UNIVERSITY   (China)

^b LAKEHEAD UNIVERSITY   (Canada)

Author keywords

Adaptive neural control; Backstepping; Nonlinear systems with time delays; Output tracking

Indexed keywords

ADAPTIVE LEARNING; ADAPTIVE NEURAL CONTROL; ADAPTIVE NEURAL CONTROLLERS; APPROXIMATION MODELS; CLOSED-LOOP SIGNALS; CONTROLLER DESIGNS; DESIGN PROCEDURES; LYAPUNOV - KRASOVSKII FUNCTIONAL; MULTI INPUT MULTI OUTPUTS; NEURAL-NETWORK; NONLINEAR TIME-DELAY SYSTEMS; OUTPUT TRACKING; SIMULATION EXAMPLES; TIME-DELAY SYSTEMS; VIRTUAL CONTROLS;

BACKSTEPPING; CONTROLLERS; DELAY CONTROL SYSTEMS; EDUCATION; FEEDBACK CONTROL; LEARNING SYSTEMS; MULTIPLEXING; NEURAL NETWORKS; NONLINEAR SYSTEMS; TIME DELAY;

ADAPTIVE CONTROL SYSTEMS;

EID: 67349275699     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.02.021     Document Type: Article

References (26)

1. Chen L.J., and Narendra K.S. Nonlinear adaptive control using neural networks and multiple models. Automatica 37 8 (2001) 1245-1255
2. Farrell J. Persistence of excitation conditions in passive learning control. Automatica 33 (1997) 699-703
3. Gao W., and Selmic R.R. Neural network control of a class of nonlinear systems with actuator saturation. IEEE Transactions on Neural Networks 17 1 (2006) 147-156
4. Ge S.S., Hang C.C., and Zhang T. Stable adaptive control for multivariable systems with a triangular control structure. IEEE Transactions on Automatic Control 45 1 (2000) 1221-1225
5. Ge S.S., Hong F., and Lee T.H. Adaptive neural network control of nonlinear systems with unknown time delays. IEEE Transactions on Automatic Control 48 11 (2003) 2004-2010
6. Ge S.S., Hong F., and Lee T.H. Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients. IEEE Transactions on Systems, Man, and Cybernetics 34 (2004) 499-516
7. Ge S.S., and Tee K.P. Approximation-based control of nonlinear MIMO time-delay systems. Automatica 43 (2007) 31-43
8. Ge S.S., and Wang C. Adaptive neural control of uncertain MIMO nonlinear systems. IEEE Transactions on Neural Networks 15 3 (2004) 674-692
9. Ho D.W.C., Zhang P., and Xu J. Fuzzy wavelet networks for function learning. IEEE Transactions on Fuzzy Systems 9 1 (2001) 200-211
10. Ho D.W.C., Li J., and Niu Y.G. Adaptive neural control for a class o f nonlinearly parametric time-delay systems. IEEE Transactions on Neural Networks 16 3 (2005) 625-635
11. Lan W.Y., and Huang J. Neural-network-based approximate output regulation of discrete-time nonlinear systems. IEEE Transactions on Neural Networks 18 4 (2007) 1196-1208
12. Niu Y., Lam J., and Wang X. Adaptive H control using backstepping and neural networks. Journal of Dynamic Systems, Measurement, and Control 127 3 (2005) 313-326
13. Narendra K.S., and Lewis E.F.L. Special issue on neural network feedback control. Automatica 37 8 (2001) 734-748
14. Psillakis H.E., and Alexandridis A.T. NN-based adaptive tracking control of uncertain nonlinear systems disturbed by unknown covariance noise. IEEE Transactions on Neural Networks 18 6 (2007) 1830-1835
15. Sanner R.M., and Slotine J.E. Gaussian networks for direct adaptive control. IEEE Transactions on Neural Networks 3 6 (1992) 837-863
16. Vapnik V.N. The neural of statistical learning theory. 2nd ed. (2000), Springer-Verlag, New York
17. Wang C., and Hill D.J. Learning from neural control. IEEE Transactions on Neural Networks 17 1 (2006) 130-146
18. Xu J.X., and Tan Y. Nonlinear adaptive wavelet control using constructive wavelet networks. IEEE Transactions on Neural Networks 18 1 (2007) 115-127
19. Yang B.J., and Calise A.J. Adaptive control of a class of nonaffine systems using neural networks. IEEE Transactions on Neural Networks 18 4 (2007) 1149-1159
20. Yang Y.S., Feng G., and Ren J.S. 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 3 (2004) 406-420
21. Zhou S.S., Lam J., Feng G., and Daniel W.C. Exponential ε-regulation for multi-input nonlinear systems using neural networks. IEEE Transactions On Neural Networks 16 6 (2005) 1710-1714
22. Zhang H.G., Xie Y., Wang Z., and Zheng C. Adaptive synchronization between two different chaotic neural networks with time delay. IEEE Transactions on Neural Networks 18 6 (2007) 1841-1845
23. Zhang H.G., and Wang Y.C. Stability analysis of Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Transactions on Neural Networks 19 2 (2008) 366-370
24. Zhu Q.M., and Guo L.Z. Stable adaptive neuro control for nonlinear discrete-time systems. IEEE Transactions on Neural Networks 15 3 (2004) 653-662
25. Zhang T., Ge S.S., and Huang C.C. Design and performance analysis of a direct adaptive control for nonlinear systems. Automatica 35 (1999) 1809-1817
26. Zhang T., Ge S.S., and Huang C.C. Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica 36 (2000) 1835-1846