A Model-following Adaptive Controller for Linear/Nonlinear Plantsusing Radial Basis Function Neural Networks

In this paper, we proposed a method to design a model-following adaptive controller for linear/nonlinear plants. Radial basis function neural networks (RBF-NNs), which are known for their stable learning capability and fast training, are used to identify linear/nonlinear plants. Simulation results show that the proposed method is effective in controlling both linear and nonlinear plants with disturbance in the plant input.




References:
[1] P. D. Wasserman, Advanced Method in Neural Networks (Book Style),
Van Nostrand Reinhold, New York, 1993, pp. 147-176.
[2] R. M. Sanner and J. E. Slotine, "Gaussian Networks For Direct Adaptive
Control," IEEE Trans. Neural Networks, Vol. 3, No. 6, pp.837-863, 1992.
[3] R. M. Sanner and J. E. Slotine, "A Stable Adaptive Control Of Robot
Manipulators Using Neural Networks," Neural Computation, Vol. 7,
pp.753-790, 1995.
[4] D. Sbarbaro, J. P. Segovia, S. Alcozer and J. Gonzales, "Applications Of
Radial basis Network Technology To Process Control," IEEE Trans.
Control System Technology, Vol. 8, No. 1, pp14-22, 2000.
[5] S. Mukhopadhyay and K. S. Narendra, "Disturbance rejection in
nonlinear systems using neural networks," IEEE trans. Neural Networks,
vol. 4, no.1, pp. 63-72, 1993.
[6] Y. Ishikawa, Y. Masukake and Y. Ishida, "Control of Chaotic Dynamical
Systems using RBF Networks," ENFORMATIKA, Vol. 19, pp. 175-178,
2007.
[7] G. H. Goulb and C. F. Van-Loan, Matrix Computation (Book Style), 3rd
Edition, The Johns Hopkins Univ. Press, Baltimore and London, 1996.
[8] T. Hachino, K. Hasuka and H. Takata, "On-line Identification of
Continuous-time Nonlinear System via RBF Network Model," SICE
Conference in Kyusyu, pp. 215-216, 2001(in Japanese).