Adaptive-fourier-neural-network-based control for a class of uncertain nonlinear systems

IEEE Transactions on Neural Networks

Volumn 19, Issue 10, 2008, Pages 1689-1701

  Zuo, Wei ^a   Cai, Lilong ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Adaptive Fourier neural network (AFNN); Feedback control; Frequency domain; Orthogonal activation function; Uncertain nonlinear system

Indexed keywords

ACTIVATION ANALYSIS; ASYMPTOTIC STABILITY; DYNAMICAL SYSTEMS; FEEDBACK CONTROL; FOURIER ANALYSIS; FREQUENCY DOMAIN ANALYSIS; IMAGE CLASSIFICATION; LEARNING ALGORITHMS; LEARNING SYSTEMS; MIM DEVICES; NETWORK PROTOCOLS; NEURAL NETWORKS; NONLINEAR SYSTEMS; PROBABILITY DENSITY FUNCTION; SCHRODINGER EQUATION; SENSOR NETWORKS; SYSTEM STABILITY;

ACTIVATION FUNCTIONS; ADAPTIVE; ADAPTIVE FOURIER NEURAL NETWORK (AFNN); CONTROL SCHEMES; EXPONENTIALS; FOURIER; FOURIER NEURAL NETWORKS; FREQUENCY DOMAIN; FREQUENCY DOMAIN METHODS; LOOP SYSTEMS; LYAPUNOV THEORIES; NEURAL-NETWORK; ON-LINE; ORTHOGONAL ACTIVATION FUNCTION; PHYSICAL MEANINGS; POSITIONING TABLES; PRIORI KNOWLEDGES; SALIENT FEATURES; SIMULATION RESULTS; SYSTEM DYNAMICS; UNCERTAIN NONLINEAR SYSTEM; UNCERTAIN NONLINEAR SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

ALGORITHM; ARTICLE; ARTIFICIAL NEURAL NETWORK; COMPUTER SIMULATION; FEEDBACK SYSTEM; FOURIER ANALYSIS; MATHEMATICAL COMPUTING; NONLINEAR SYSTEM; THEORETICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; FEEDBACK; FOURIER ANALYSIS; MODELS, THEORETICAL; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED;

EID: 54449096434     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2008.2001003     Document Type: Article

References (35)

1. A. Isidori, Nonlinear Control System, 3rd ed. Berlin, Germany: Springer-Verlag, 1995.
2. L. Chen and K. S. Narendra, "Identification and control of a nonlinear discrete-time system based on its linearization: A unified framework," IEEE Trans. Neural Netw., vol. 15, no. 3, pp. 663-673, May 2004.
3. K. Huwang, S. W. Tan, and M. Tsai, "Reinforcement learning to adaptive control of nonlinear systems," IEEE Trans. Syst. Man Cybern. B, Cybern., vol. 33, no. 3, pp. 514-521, Jun. 2003.
4. W. Wang, C. Cheng, and Y. Leu, "An online ga-based output-feedback direct adaptive fuzzy-neural controller for uncertain nonlinear systems," IEEE Trans. Syst. Man Cybern. B. Cybern., vol. 34, no. 1, pp. 334-345, Feb. 2004.
5. Y. G. Leu, W. Y. Wang, and T. T. Lee, "Observer-based direct adaptive fuzzy-neural control for nonaffine nonlinear systems," IEEE Trans. Neural Netw., vol. 16, no. 4, pp. 853-861, Jul. 2005.
6. L. Ren, G. W. Irwin, and D. Flynn, "Nonlinear identification and control of a turbogenerator-an on-line scheduled multiple model/ controller approach," IEEE Trans. Energy Convers., vol. 20, no. 1, pp. 237-245, Mar. 2005.
7. D. Gorinevsky, "On the persistency of excitation in radial basis function network identification of nonlinear systems," IEEE Trans. Neural Netw., vol. 6, no. 5, pp. 1237-1244, Sep. 1995.
8. F. Lewis and S. Jagannathan, Neural Network Control of Robotic Manipulators and Nonlinear Systems. London, U.K.: Taylor & Francis, 1999.
9. H. Xu and P. A. Ioannou, "Robust adaptive control for a class of MIMO nonlinear system with guaranteed error bounds," IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 728-742, May 2003.
10. S. S. Ge, J. Zhang, and T. H. Lee, "Adaptive neural network control for a class of MIMO nonlinear systems with disturbances in discrete-time," IEEE Trans. Syst. Man Cybern. B. Cybern., vol. 34, no. 4, pp. 1630-1645, Aug. 2004.
11. M. M. Polycarpou and J. Y. Conway, "Indirect adaptive nonlinear control of drug delivery systems," IEEE Trans. Autom. Control, vol. 43, no. 6, pp. 849-856, Jun. 1998.
12. S. S. Ge, T. H. Lee, and C. Harris, Adaptive Neural Network Control of Robotic Manipulators.. London, U.K.: World Scientific, 1998.
13. F.-J. Lin, H.-J. Shieh, P.-H. Shieh, and P.-H. Shen, "An adaptive recurrent-neural-network motion controller for X-Y table in CNC machine," IEEE Trans. Syst. Man Cybern. B, Cybern., vol. 36, no. 2, pp. 286-299, Apr. 2006.
14. A. Yesildirek and F. L. Lewis, "Feedback linearization using neural networks," Automatica, vol. 31, pp. 1659-1664, 1995.
15. F. L. Lewis, A. Yegildirek, and K. Liu, "Multilayer neural-net robot controller with guaranteed tracking performance," IEEE Trans. Neural Netw., vol. 7, no. 2, pp. 388-399, Mar. 1996.
16. R. J. Wai and R. Y. Duan, "Wavelet neural network control for induction motor drive using sliding-mode design technique," IEEE Trans. Ind. Electron., vol. 50, no. 4, pp. 733-748, Aug. 2003.
17. M. M. Polycarpou, X. Zhang, R. Xu, Y. Yang, and C. Kwan, "A neural network based approach to adaptive fault tolerant flight control," presented at the 2004 IEEE Int. Symp. Intell. Control, Taipei, Taiwan, Sep. 2-4, 2004, unpublished.
18. F. L. Lewis, A. Yesildirek, and K. Liu, "Neural net robot controller: Structure and stability proofs," J. Intell. Robot. Syst., vol. 12, pp. 277-299, 1995.
19. S. Lin and A. A. Goldenberg, "Neural network control of mobile manipulators," IEEE Trans. Neural Netw., vol. 12, no. 5, pp. 1121-1133, Sep. 2001.
20. J. Choi, H. F. V. Landingham, and S. Bingulac, "A constructive approach for nonlinear system identification using multilayer perceptrons," IEEE Trans. Syst. Man Cybern. B, Cybern., vol. 26, no. 2, pp. 307-312, Apr. 1996.
21. J. Huang and F. L. Lewis, "Neural-network predictive control for nonlinear dynamic systems with time-delay," IEEE Trans. Neural Netw. vol. 14, no. 2, pp. 377-389, Mar. 2003.
22. Z. P. Wang, S. S. Ge, and T. H. Lee, "Robust adaptive neural network control of uncertain nonholonomic systems with strong nonlinear drifts," IEEE Trans. Syst. Man Cybern. B, Cybern., vol. 34, no. 5, pp. 2048-2059, Oct. 2004.
23. M. M. Polycarpou, "Stable adaptive neural control scheme for nonlinear systems," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 447-450, Mar. 1996.
24. W. Duch and J. N., "Survey of neural transfer functions," Neural Comput. Surveys, vol. 2, pp. 163-212, 1999.
25. C. Lin and C. Jou, "Controlling chaos by GA-based reinforcement learning neural network," IEEE Trans. Neural Netw., vol. 10, no. 4, pp. 846-859, Jul. 1999.
26. L. Cai and W. Huang, "Fourier series based learning control and application to positioning table," Robot. Autonom. Syst., vol. 32, pp. 89-100, 1999.
27. X. Tang, L. Cai, and W. Q. Huang, "A learning controller for robot manipulators using Fourier series," IEEE Trans. Robot. Autom., vol. 16, no. 1, pp. 36-45, Feb. 2000.
28. W. Huang and L. Cai, "New hybrid controller for systems with deterministic uncertainties," IEEE/ASME Trans. Mechatron., vol. 5, no. 4, pp. 342-348, Dec. 2000.
29. M. W. Spong and M. Vidyasagar, Robot Dynamics and Control. New York: Wiley, 1989.
30. C.-F. Hsu, C.-M. Lin, and T.-T. Lee, "Wavelet adaptive backstepping control for a class of nonlinear systems," IEEE Trans. Neural Netw. vol. 17, no. 5, pp. 1175-1183, Sep. 2006.
31. G. Leitmann, "On the efficacy of nonlinear control in uncertain linear systems," J. Dyn. Syst. Meas. Control, vol. 103, pp. 95-102, 1981.
32. C. Hua, X. Guan, and P. Shi, "Robust output feedback tracking control for time-delay nonlinear systems using neural network," IEEE Trans. Neural Netw., vol. 18, no. 2, pp. 495-505, Mar. 2007.
33. Z.-G. Hou, M. M. Gupta, P. N. Nikiforuk, M. Tan, and L. Cheng, "A recurrent neural network for hierarchical control of interconnected dynamic S systems," IEEE Trans. Neural Netw., vol. 18, no. 2, pp. 466-481, Mar. 2006.
34. D. V. Prokhorov, "Training recurrent neurocontrollers for robustness with derivative-free Kalman filter," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1606-1616, Nov. 2006.
35. J. J. Slotine and W. Li, Applied Nonlinear Control. Upper Saddle River, NJ: Prentice-Hall, 1991.