Recurrent Fuzzy CMAC for Nonlinear System Modeling

  • Authors:
  • Floriberto Ortiz;Wen Yu;Marco Moreno-Armendariz;Xiaoou Li

  • Affiliations:
  • Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, México D.F., 07360, México;Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, México D.F., 07360, México;Centro de Investigación en Computación-IPN, Unidad Profesional "Adolfo López Mateos", México, D. F. C. P. 07738, México;Departamento de Computación, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, México D.F., 07360, México

  • Venue:
  • ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
  • Year:
  • 2007

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Abstract

Normal fuzzy CMAC neural network performs well because of its fast learning speed and local generalization capability for approximating nonlinear functions. However, it requires huge memory and the dimension increases exponentially with the number of inputs. In this paper, we use recurrent technique to overcome these problems and propose a new CMAC neural network, named recurrent fuzzy CMAC (RFCMAC). Since the structure of RFCMAC is more complex, normal training methods are difficult to be applied. A new simple algorithm with a time-varying learning rate is proposed to assure the learning algorithm is stable.