Nonlinear system identification based on B-spline neural network and modified particle swarm optimization

IEEE International Conference on Neural Networks - Conference Proceedings

Volumn , Issue , 2006, Pages 3748-3753

  Coelho, Leandro Dos Santos ^a   Krohling, Renato A ^b  

^a PONTIFICAL CATHOLIC UNIVERSITY OF PARANÁ   (Brazil)

^b TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; IDENTIFICATION (CONTROL SYSTEMS); NEURAL NETWORKS; PARTICLE SWARM OPTIMIZATION (PSO);

BASIS FUNCTION NEURAL NETWORK; LOCAL MINIMA;

NONLINEAR SYSTEMS;

EID: 40649126984     PISSN: 10987576     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. A. G. Ivankhnenko, "Polynomial theory of complex systems," IEEE Trans. on Systems, Man, and Cybernetics, vol. 1, no. 4, pp. 364-378, 1971.
2. K. T. Alligood, T. D. Sauer and J. A. Yorke, Chaos: an Introduction to Dynamical Systems, Springer, 1996.
3. M. Ioh, T Yang and L. O. Chua, "Conditions for impulsive synchronization of chaotic and hyperchaotic systems," Int. J. Bifurcation and Chaos, vol. 11, no. 2, pp. 551-560, 2001.
4. K. Thamilmaran, M. Lakshmanan and K. Murali, "Rich variety of bifurcations and chaos in a variant of Murali-Lakshmanan Chua circuit," Int. J. Bifurcation and Chaos, vol. 10, no. 7, pp. 1781-1785, 2000.
5. L. Ljung, L., System Identification: Theory for the User, Prentice-Hall: New York, 1987.
6. R. Haber and H., Unbehauen, "Structure identification of nonlinear dynamic systems - a survey on input/output approaches," Automatica, vol. 26, no. 4, pp. 651-677, 1990.
7. N. B. Karayiannis and M. M. Randolph-Gips, "On the construction and training of reformulated radial basis function neural networks," IEEE Trans. on Neural Networks, vol. 14, no. 14, pp. 835-846, 2003.
8. M. Kuczmann and A. Iványi, "Neural network model of magnetic hysteresis," COMPEL, vol. 21, no. 3, pp. 364-376, 2002.
9. Y. Tan, X. Dang, F. Liang and S. -Y. Su, "Dynamic wavelet neural network for nonlinear dynamic system identification," Proc. IEEE Int. Conf. Control Applications, Anchorage, AL, USA, p. 214-219, 2000.
10. S. Mcloone, M. D. Brown, G. Irwin and A. Lightbody, "A hybrid linear/nonlinear training algorithm for feedforward neural networks," IEEE Trans. on Neural Networks, vol. 9, no. 4, pp. 669-684, 1998.
11. K. Narendra and K. Parthasarathy, "Identification and control of dynamical systems using neural networks," IEEE Trans. on Neural Networks, vol. 1, no. 1, pp. 4-27, 1990.
12. W. M. Newmann and R. F. Sproull, Principles of Interactive Computer Graphics, Mc-Graw-Hill, Inc, 1979.
13. C. J. Harris, C. G. Moore, and M. Brown, Intelligent Control: Aspects of Fuzzy Logic and Neural Nets, Word Scientific, 1993.
14. G. Starrenburg, W. T. C. van Luenen, W. Oelen, and J. van Amerongen, "Learning feedforward controller for a mobile robot vehicle," Control Engineering Practice, vol. 4, no. 9, pp. 1221-1230, 1996.
15. G. Lightbody, P. O'Reilly, G. W. Irwin, K. Kelly, and J. McCormick, "Neural modelling of chemical plant using MLP and B-spline networks," Control Engineering Practice, vol. 5, no. 11, pp. 1501-1515, 1997.
16. J. Zhang and A. Knoll, "Designing fuzzy controllers by rapid learning," Fuzzy Sets and Systems, vol. 101, pp. 287-301, 1999.
17. K. F. C. Yiu, S. Wang, K. L. Teo, and A. C. Tsoi, "Nonlinear system modeling via knot-optimizing B-spline networks," IEEE Trans. On Neural Networks, vol. 12, no. 4, pp. 1013-1022, 2001.
18. L. S. Coelho, and R. A. Krohling, "Predictive controller tuning using modified particle swarm optimisation based on Cauchy and Gaussian distributions (in Portuguese)," in Proc. VI Brazilian Conference on Neural Networks,Sao Paulo, Brazil, June 2003 (in Portuguese).
19. X. Yao and Y. Liu, "Fast evolutionary programming," Proc. 5th Annual Conference on Evolutionary Programming, San Diego, CA, pp. 451-460, 1996.
20. K. Thamilmaran, M. Lakshmanan, and K. Murali, "Rich variety of bifurcations and chaos in a variant of Murali-Lakshmanan Chua circuit," Int. J. Bifurcation and Chaos, vol. 10, no. 7, pp.1781-1785, 2000.
21. W. Pei, L. Yang, and Z. He, "Identification of dynamical noise levels in chaotic systems and application to cardiac dynamics analysis," Int. Joint Conf. on Neural Networks, IJCNN, vol. 5, Washington, DC, USA, pp. 3680-3684, 1999.
22. K. -Y. Lian and P. Liu, "Synchronization with message embedded for generalized Lorenz chaotic circuits and its error analysis," IEEE Trans. on Circuits and Systems I: Fundamental Theory and Applications, vol. 47, no. 9, pp.1418-1430, 2000.
23. J. -Y. Hsiej, C. Hwang, A. -P. Wang, and W. -J. Li, "Controlling hyperchaos of the Rössler system," Int. J. of Control, vol. 72, no. 10, pp.882-886, 1999.
24. O. E. Rössler, "An equation for continuous chaos," Physical Letters, 35A, pp. 397-398, 1976.
25. D. H. Wolpert and W. G. Macready, "No free lunch theorems for optimization," IEEE Trans. on Evolutionary Computation, vol. 1, no. 1, pp. 67-82, 1997.