@Article{IJNAM-20-709, author = {Ding , JieXu , Sen and Li , Zhijie}, title = {Fractional Order Learning Methods for Nonlinear System Identification Based on Fuzzy Neural Network}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2023}, volume = {20}, number = {5}, pages = {709--723}, abstract = {

This paper focuses on neural network-based learning methods for identifying nonlinear dynamic systems. The Takagi-Sugeno (T-S) fuzzy model is introduced to represent nonlinear systems in a linear way. Fractional calculus is integrated to minimize the cost function, yielding a fractional-order learning algorithm that can derive optimal parameters in the T-S fuzzy model. The proposed algorithm is evaluated by comparing it with an integer-order method for identifying numerical nonlinear systems and a water quality system. Both evaluations demonstrate that the proposed algorithm can effectively reduce errors and improve model accuracy.

}, issn = {2617-8710}, doi = {https://doi.org/10.4208/ijnam2023-1031}, url = {http://global-sci.org/intro/article_detail/ijnam/22009.html} }