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Vol. 169, Issue 4, April 2014, pp. 153-158




Modeling of a Class of Nonlinear Dynamic System

1 Guangjun LIU, 1 Xiaoping XU, 2 Feng WANG

1 School of Sciences, Xi’an University of Technology, Xi’an, 710054, China
2 School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, China
1 Tel.: +86 29 88132881, fax: +86 29 88132881

E-mail: gjliuxaut@126.com


Received: 30 December 2013 Accepted: 7 March 2014 Published: 30 April 2014

Digital Sensors and Sensor Sysstems


Abstract: A modeling approach for a kind of the nonlinear dynamic system is studied in this paper. At first, suppose that the original nonlinear dynamic system is expressed by the nonlinear Hammerstein model, the transfer function of the model can then be changed into a linear form by using the function expansion, accordingly, an intermediate model is generated. Secondly, the parameters of the intermediate model are attained based on a fish swarm optimization algorithm. Thirdly, through the parameters relationships of the intermediate model and the Hammerstein model, we derive the parameters of the Hammerstein model; consequently, the modeling of the original nonlinear dynamic system is achieved. Finally, the feasibility of the presented modeling method for the nonlinear dynamic system is illustrated by the numerical simulation experiments.


Keywords: Nonlinear system, Dynamic system, Hammerstein model, Modeling, Evolutionary algorithm.


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