A discrete-time multivariable neuro-adaptive control for nonlinear unknown dynamic systems

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 30, Issue 6, 2000, Pages 865-877

  Hwang, Chih Lyang ^a,b   Lin, Ching Hung ^b  

^a IEEE   (Taiwan)

^b TATUNG UNIVERSITY   (Taiwan)

Author keywords

Discrete time system; Lyapunov stability theory; Multivariable variable structure control; Recurrent neural network

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; APPROXIMATION THEORY; COMPUTER SIMULATION; ERROR ANALYSIS; LYAPUNOV METHODS; NEURAL NETWORKS;

SYSTEM NONLINEAR MATRIX;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0034505904     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/3477.891148     Document Type: Article

References (27)

1. H. K. Khalil, Nonlinear Systems, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1996.
2. C. L. Hwang, "Neural-network-based variable structure control of electrohydraulic servosystems subject to huge uncertainties without persistent excitation," IEEE/ASME Trans. Mechatron., vol. 4, no. 1, pp. 50-59, 1999.
3. C. Banyasz, R. Haber, and L. Keviczky, "Some estimation methods for nonlinear discrete time identification," in 3rd IFAC Symp. Identification and System Parameter Estimation, 1973, pp. 93-102.
4. C. L. Hwang and C. J. Hsu, "Nonlinear control design for a Hammerstein model system," Proc. Inst. Elect. Eng., vol. 142, pt. D, no. 4, pp. 277-285, 1995.
5. G. Tao and P. V. Kokotovic, Adaptive Control of Systems with Actuator and Sensor Nonlinearity. New York: Wiley, 1996.
6. ∞ almost disturbance decoupling robust controller design for a piezoelectric bimorph actuator with hysteresis," IEEE Trans. Contr. Syst. Technol., vol. 7, no. 2, pp. 160-174, 1999.
7. G. C. Goodwin and K. S. Sin, Adaptive Filtering, Prediction and Control. Englewood Cliffs, NJ: Prentice-Hall, 1984.
8. K. J. Astrom and B. Wittenmark, Computer-Controlled Systems - Theory and Design, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1997.
9. P. Ge and M. Jouaneh, "Tracking control of a piezoceramic actuator," IEEE Trans. Contr. Syst. Technol., vol. 4, no. 3, pp. 209-216, 1996.
10. C. L. Hwang, M. H. Wei, and W. J. Jieng, "Noncircular cutting with lathe using three-stage intelligent controller," J. Robotics & Computer-Integrated Manufact., vol. 13, no. 3, pp. 181-191, 1997.
11. K. S. Narendra and K. Parthasarathy, "Identification and control of dynamical systems using neural networks," IEEE Trans. Neural Networks, vol. 1, no. 1, pp. 4-27, 1990.
12. F. C. Chen and H. K. Khalil, "Adaptive control of a class of nonlinear discrete-time systems using neural networks," IEEE Trans. Automat. Contr., vol. 40, no. 5, pp. 791-801, 1995.
13. S. Jagannathan and F. L. Lewis, "Multilayer discrete-time neural-net controller with guaranteed performance," IEEE Trans. Neural Networks, vol. 7, no. 1, pp. 107-130, 1996.
14. L. Jin, P. N. Nikiforuk, and M. M. Gupta, "Absolute stability conditions for discrete-time recurrent neural networks," IEEE Trans. Neural Networks, vol. 5, no. 6, pp. 954-964, 1994.
15. C. C. Ku and K. Y. Lee, "Diagonal recurrent neural networks for dynamic systems control," IEEE Trans. Neural Networks, vol. 6, no. 1, pp. 144-156, 1995.
16. M. K. Sundareshan and T. A. Condarcure, "Recurrent neural-network training by a learning automation approach for trajectory learning and control system design," IEEE Trans. Neural Networks, vol. 9, no. 3, pp. 354-368, 1998.
17. G. A. Rovithakis, "Tracking control of multi-input affine nonlinear dynamica systems with unknown nonlinearities using dynamical neural network," IEEE Trans. Syst., Man, Cybern. B, vol. 29, no. 2, pp. 179-189, 1999.
18. Y. Fang, T. W. S. Chow, and X. D. Li, "Use of a recurrent neural network in discrete sliding-mode control," Proc. Inst. Elect. Eng., vol. 146, pt. D, no. 1, pp. 84-90, 1999.
19. H. K. Khalil, "Adaptive output feedback control of nonlinear systems represented by input-output models," IEEE Trans. Automat. Contr., vol. 41, no. 2, pp. 177-188, 1996.
20. G. A. Rovithakis and M. A. Christodoulou, "Neural adaptive regulation of unknown nonlinear dynamical systems," IEEE Trans. Syst., Man, Cybern. B, vol. 27, no. 5, pp. 810-822, 1997.
21. K. Furuta, "VSS type self-tuning control," IEEE Trans. Ind. Electron., vol. 40, no. 1, pp. 37-44, 1993.
22. P. Korondi, H. Hashimoto, and V. Utkin, "Direct control of flexible shaft in an observer-based discrete-time sliding mode," IEEE Trans. Ind. Electron., vol. 45, no. 2, pp. 291-296, 1998.
23. K. D. Young, V. I. Utkin, and Ümit Özgüner, "A control engineer's guide to sliding mode control," IEEE Trans. Contr. Syst. Technol., vol. 7, no. 3, pp. 328-342, 1999.
24. S. Hui and S. H. Zak, "On discrete-time variable structure sliding mode control," Syst. Control Lett., vol. 38, pp. 283-288, 1999.
25. M. Vidyasagar, Control System Synthesis - A Factorization Approach. Cambridge, MA: MIT Press, 1985.
26. M. Zhihong, H. R. Wu, and M. Palaniswami, "An adaptive tracking controller using neural networks for a class of nonlinear systems," IEEE Trans. Neural Networks, vol. 9, no. 5, pp. 947-955, 1998.
27. F. Sun, Z. Sun, and P. Y. Woo, "S neural-network-based adaptive control for sampled-data nonlinear systems," IEEE Trans. Neural Networks, vol. 9, no. 5, pp. 956-968, 1998.