Output feedback control of a class of discrete MIMO nonlinear systems with triangular form inputs

IEEE Transactions on Neural Networks

Volumn 16, Issue 6, 2005, Pages 1491-1503

  Zhang, Jin ^a,b   Ge, Shuzhi Sam ^a   Lee, Tong Heng ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b BEIHANG UNIVERSITY   (China)

Author keywords

Discrete time system; High order neural networks (HONNs); Multi input multi output (MIMO) system; Neural networks (NNs)

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CLOSED LOOP CONTROL SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR CONTROL SYSTEMS;

HIGH-ORDER NEURAL NETWORKS (HONNS); MULTI-INPUT-MULTI-OUTPUT (MIMO) SYSTEM; SEMIGLOBALLY UNIFORMLY ULTIMATE BOUNDED (SGUUB) METHOD;

NEURAL NETWORKS;

ALGORITHM; ARTICLE; ARTIFICIAL NEURAL NETWORK; COMPUTER SIMULATION; FEEDBACK SYSTEM; NONLINEAR SYSTEM; SIGNAL PROCESSING; SYSTEMS THEORY; THEORETICAL MODEL; TIME;

ALGORITHMS; COMPUTER SIMULATION; FEEDBACK; MODELS, THEORETICAL; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS; SIGNAL PROCESSING, COMPUTER-ASSISTED; SYSTEMS THEORY; TIME FACTORS;

EID: 28244481791     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2005.852242     Document Type: Article

References (26)

1. A. U. Levin and K. S. Narendra, "Control of nonlinear dynamical systems using neural networks-part ii: observability, identification, and control," IEEE Trans. Neural Netw., vol. 7, no. 1, pp. 30-42, Jan. 1996.
2. K. S. Narendra and K. Parthasarathy, "Identification and control of dynamic systems using neural networks," IEEE Trans. Neural Netw., vol. 1, no. 1, pp. 4-27, Jan. 1990.
3. F. L. Lewis, A. Yesildirek, and K. Liu, "Multilayer neural-net robot controller with guaranteed tracking performance," IEEE Trans. Neural Netw., vol. 7, no. 2, pp. 388-398, Mar. 1996.
4. M. M. Polycarpou, "Stable adaptive neural control scheme for nonlinear systems," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 447-451, Mar. 1996.
5. A. Yesidirek and F. L. Lewis, "Feedback linearizafion using neural networks," Automatica, vol. 31, no. 11, pp. 1659-1664, 1995.
6. S. S. Ge, C. C. Hang, T. H. Lee, and T. Zhang, Stable Adaptive Neural Network Control. Norwell, MA: Kluwer, 2001.
7. J. B. D. Cabrera and K. S. Narendra, "Issues in the application of neural networks for tracking based on inverse control," IEEE Trans. Autom. Control, vol. 44, no. 11, pp. 2007-2027, Nov. 1999.
8. O. Adetona, E. Garcia, and L. H. Keel, "A new method for the control of discrete nonlinear dynamic systems using neural networks," IEEE Trans. Neural Netw, vol. 11, no. 1, pp. 102-112, Jan. 2000.
9. J. X. Zhao and I. Kanellakopoulos, "Active identification for discrete-time nonlinear control-part ii: strict-feedback systems," IEEE Trans. Autom. Control, vol. 47, no. 2, pp. 225-240, Feb. 2002.
10. S. S. Ge, G. Y. Li, and T. H. Lee, "Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems," Automatica, vol. 39, no. 5, pp. 807-819, May 2003.
11. F. C. Chen and H. K. Khalil, "Adaptive control of a class of nonlinear discrete-time systems using neural networks," IEEE Trans. Autom. Control, vol. 72, no. 7, pp. 791-807, Jul. 1995.
12. S. S. Ge, T. H. Lee, G. Y. Li, and J. Zhang, "Adaptive NN control for a class of discrete-time nonlinear systems," Int. J. Control, vol. 76, no. 4, pp. 334-354, 2003.
13. S. Jagannathan and F. L. Lewis, "Discrete-time neural net controller for a class of nonlinear dynamical systems," IEEE Trans. Autom. Control, vol. 41, no. 11, pp. 1693-1699, Nov. 1996.
14. S. Jagannathan and F. L. Lewis, "Multilayer discrete-time neural-net controller with guaranteed performance," IEEE Trans. Neural Netw., vol. 7, no. 1, pp. 107-130, Jan. 1996.
15. S. S. Ge, G. Y. Li, J. Zhang, and T. H. Lee, "Direct adaptive control for a class of MIMO nonlinear systems using neural networks," IEEE Trans. Autom. Control, vol. 49, no. 11, pp. 2001-2006, Nov. 2004.
16. F. Sun, Z. Sun, and P. Y. Woo, "Stable neural-network-based adaptive control for sampled-data nonlinear systems," IEEE Trans. Neural Netw., vol. 9, no. 5, pp. 956-968, Sep. 1998.
17. S. S. Ge, J. Zhang, and T. H. Lee, "State feedback neural network control of a class of discrete MIMO nonlinear systems with disturbances," IEEE Trans. Syst., Man, Cybern. B. Cybern., vol. 34, no. 4, pp. 1630-1645, Aug. 2004.
18. S. S. Ge, T. H. Lee, and C. J. Harris, Adaptive Neural Network Control of Robotic Manipulators. Singapore: World Scientific, 1998.
19. S. Chen and S. A. Billings, "Representations of nonlinear systems: the narmax model," Int. J. Control, vol. 49, no. 3, pp. 1013-1032. 1989.
20. G. Nurnberger, Approximation by Spline Functions. New York: Springer-Verlag, 1989.
21. J. T. Spooner and K. M. Passino, "Stable adaptive control using fuzzy systems and neural networks," IEEE Trans. Fuzzy Syst., vol. 4, no. 3, pp. 339-359, 1996.
22. G. P. Liu, V. Kadirkamanathan, and S. A. Billings, "Nonlinear system identification using wavelet networks," Int. J. Syst. Sci., vol. 12, pp. 1531-1541, 2000.
23. R. Marino and P. Tomei, Nonlinear Control Design. Englewood Cliffs, NJ: Prentice-Hall, 1995.
24. H. K. Khalil, Nonlinear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1996.
25. G. C. Goodwin and K. S. Sin, Adaptive Filtering Prediction and Control. Englewood Cliffs, NJ: Prentice-Hall, 1984.
26. P. A. Ioannou and J. Sun, Robust Adaptive Control. Englewood Cliffs, NJ: Prentice-Hall, 1995.