DOI QR코드

DOI QR Code

Wavelet Neural Network Based Indirect Adaptive Control of Chaotic Nonlinear Systems

  • Choi, Yoon-Ho (School of Electronic Engineering, Kyonggi University) ;
  • Choi, Jong-Tae (School of Electrical and Electronic Engineering, Yonsei University) ;
  • Park, Jin-Bae (School of Electrical and Electronic Engineering, Yonsei University)
  • 발행 : 2004.02.01

초록

In this paper, we present a indirect adaptive control method using a wavelet neural network (WNN) for the control of chaotic nonlinear systems without precise mathematical models. The proposed indirect adaptive control method includes the off-line identification and on-line control procedure for chaotic nonlinear systems. In the off-line identification procedure, the WNN based identification model identifies the chaotic nonlinear system by using the serial-parallel identification structure and is trained by the gradient-descent method. And, in the on-line control procedure, a WNN controller is designed by using the off-line identification model and is trained by the error back-propagation algorithm. Finally, the effectiveness and feasibility of the proposed control method is demonstrated with applications to the chaotic nonlinear systems.

키워드

참고문헌

  1. G. Chen and X. Dong, "From Chaos to Order Perspectives and Methodologies in Controlling Chaotic Nonlinear Dynamical Systems," International Jour. of Bifurcation and Chaos, Vol. 3, No. 6, pp. 1363-1409, 1993. https://doi.org/10.1142/S0218127493001112
  2. E. Ott, C. Grebogi and J. A. Yark, "Controlling Chaos," Physical Review Letters, Vol. 64, No. 11, pp. 1196-1199, 12 March 1990. https://doi.org/10.1103/PhysRevLett.64.1196
  3. E. A. Jackson and A. W. Hubler, "Periodic Entrainment of Chaotic Logistic Map Dynamics," Physica D, Vol. 44, pp. 407-420, 1990. https://doi.org/10.1016/0167-2789(90)90155-I
  4. G. Chen and X. Dong, "On Feedback Control of Chaotic Continuous-Time Systems," IEEE Trans. on Circuits and Systems, Vol. 40, No. 9, pp. 591-601, September 1993. https://doi.org/10.1109/81.244908
  5. K. S. Park, J. B. Park, Y. H. Choi, G. Chen, "Generalized Predictive Control of Discrete-Time Chaotic System," International Jour. of Bifurcation and Chaos, Vol. 8, No. 7, pp. 1591- 1597, 1998. https://doi.org/10.1142/S0218127498001248
  6. K. B. Kim, J. B. Park, Y. H. Choi and G. Chen, "Control of Chaotic Nonlinear Systems Using Radial Basis Function Network Approximators," Information Sciences, Vol. 130, pp. 165-183, 2000. https://doi.org/10.1016/S0020-0255(00)00074-8
  7. Y. Oussar, I. Rivals, L. Personnaz and G. Dreyfus, "Training Wavelet Networks for Nonlinear Dynamic Input-Output Modeling," Neurocomputing, Vol. 20, pp. 173-188, 1998. https://doi.org/10.1016/S0925-2312(98)00010-1
  8. S. Mallat, "A Theory for Multiresolution Signal Decomposition: The Wavelet Transform," IEEE Trans. on Pattern Anal. Machine Intell., Vol. 7, No. 7, pp. 674-693, 1989.
  9. S. H. Strogatz, Nonlinear Dynamics and Chaos, Addison Wesley Co., 1994.
  10. K. H. Oh, Y. H. Choi, J. B. Park and K. Y. Lim, "Design of Neural Network Controller for Continuous-Time Chaotic Nonlinear Systems," Jour. of the Institute of Electronics Engineers of Korea SC, Vol. 39, No.1, pp. 51-65, 2002