Applications of Prediction and Identification Using Adaptive DCMAC Neural Networks
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
Applications of Prediction and Identification Using Adaptive DCMAC Neural Networks

Authors: Yu-Lin Liao, Ya-Fu Peng

Abstract:

An adaptive dynamic cerebellar model articulation controller (DCMAC) neural network used for solving the prediction and identification problem is proposed in this paper. The proposed DCMAC has superior capability to the conventional cerebellar model articulation controller (CMAC) neural network in efficient learning mechanism, guaranteed system stability and dynamic response. The recurrent network is embedded in the DCMAC by adding feedback connections in the association memory space so that the DCMAC captures the dynamic response, where the feedback units act as memory elements. The dynamic gradient descent method is adopted to adjust DCMAC parameters on-line. Moreover, the analytical method based on a Lyapunov function is proposed to determine the learning-rates of DCMAC so that the variable optimal learning-rates are derived to achieve most rapid convergence of identifying error. Finally, the adaptive DCMAC is applied in two computer simulations. Simulation results show that accurate identifying response and superior dynamic performance can be obtained because of the powerful on-line learning capability of the proposed DCMAC.

Keywords: adaptive, cerebellar model articulation controller, CMAC, prediction, identification

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1085858

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1403

References:


[1] A. Agarwal, "A systematic classification of neural-network-based control," IEEE Contr. Syst. Mag., vol. 17, pp. 75-93, 1997.
[2] J. G. Kuschewski, S. Hui, and S. H. Zak, "Application of feed-forward neural networks to dynamical system identification and control," IEEE Trans. Contr. Syst., vol. 1, no. 1, pp. 37-49, 1993.
[3] C. M. Lin and C. F. Hsu, "Neural-network-based adaptive control for induction servomotor drive system", IEEE Trans. Ind. Electron., vol. 49, no. 1, pp. 115-123, 2002.
[4] C. C. Ku and K. Y. Lee, "Diagonal recurrent neural networks for dynamic systems control," IEEE Trans. Neural Network, vol. 6, no. 1, pp. 144-156, 1995.
[5] T. W. S. Chow, and Y. Fang, "A recurrent neural-network-based real-time learning control strategy applying to nonlinear systems with unknown dynamics," IEEE Trans. Ind. Electron., vol. 45, no. 1, pp. 151-161, 1998.
[6] J. S. Albus, "A new approach to manipulator control: The cerebellar model articulation controller (CMAC)," J. Dyn. Syst., Measurement, Contr., vol. 97, no. 3, pp. 220-227, 1975.
[7] S. H. Lane, D. A. Handelman, and J. J. Gelfand, "Theory and development of higher-order CMAC neural networks," IEEE Contr. Syst. Mag., vol. 12, no. 2, pp. 23-30, 1992.
[8] K. S. Hwang, and C. S. Lin, "Smooth trajectory tracking of three-link robot: a self-organizing CMAC approach," IEEE Trans. Syst., Man, and Cybern., pt. B, vol. 28, no. 5, pp. 680-692, 1998.
[9] F. J. Gonzalez-Serrano, A. R. Figueiras-Vidal, and A. Artes-Rodriguez, "Generalizing CMAC architecture and training," IEEE Trans. Neural Networks, vol. 9, no. 6, pp. 1509-1514, 1998.
[10] J. C. Jan and S. L. Hung, "High-order MS_CMAC neural network," IEEE Trans. Neural Networks, vol. 12, no. 3, pp. 598-603, 2001.
[11] C. T. Chiang and C. S. Lin, "CMAC with general basis functions," Neural Networks, vol. 9, no. 7, pp. 1199-1211, 1996.
[12] Y. H. Kim, and F. L. Lewis, "Optimal design of CMAC neural-network controller for robot manipulators," IEEE Trans. Syst., Man, Cybern., pt. C, vol. 30, no. 1, pp. 22-31, 2000.
[13] S. Jagannathan, "Discrete-time CMAC NN control of feedback linearizable nonlinear systems under a persistence of excitation," IEEE Trans. Neural Networks, vol. 10, no. 1, pp. 128-137, 1999.
[14] C.J. Lin and C.C. Chin, "Prediction and identification using wavelet-based recurrent fuzzy neural networks," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 34, pp. 2144-2154, 2004.
[15] C. H. Lee and C. C. Teng, "Identification and control of dynamic systems using recurrent fuzzy neural networks," IEEE Trans. Fuzzy Syst., vol. 8, pp. 349-366, 2000.
[16] K. S. Narendra and K. Parthasarathy, "Identification and control of dynamical systems using neural networks," IEEE Trans. Neural Networks, vol. 1, pp. 4-27, Mar. 1990.