Journal of South China University of Technology (Natural Science Edition) ›› 2020, Vol. 48 ›› Issue (4): 65-72,94.doi: 10.12141/j.issn.1000-565X.190117

• Mechanical Engineering • Previous Articles     Next Articles

Parameter Identification of Fractional-Order System via Enhanced Response Sensitivity Approach 

LIU Guang LIU Jike Lü Zhongrong   

  1. Department of Applied Mechanics，School of Aeronautics and Astronautics，Sun Yat-Sen University，Guangzhou 510275，Guangdong，China
  • Received:2019-03-21 Revised:2019-07-27 Online:2020-04-25 Published:2020-04-01
  • Contact: 吕中荣(1975-)，男，教授，博士生导师，主要从事非线性振动、流固耦合力学、参数识别、分数阶微分系 统、结构健康监测等的研究。 E-mail:lvzhr@mail.sysu.edu.cn
  • About author:刘广(1992-)，男，博士生，主要从事非线性振动、参数识别研究。E-mail:liug22@mail2.sysu.edu.cn
  • Supported by:
    Supported by the National Natural Science Foundation of China (11972380)，the Natural Science Foundation of Guangdong Province ( 2018B030311001 ) and the Science and Technology Planning Project of Guangdong Province(2016A020223006)

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Abstract: Compared with the integer order differential operator，fractional order operator can describe some charac-teristics of the system more accurately，such as hereditary and memory properties． In order to find a more accurate and efficient way to solve the fractional order system，a new computational scheme designed to get the system re-sponse was put forward based on Adams-type scheme and the Newmark-β method． The inverse problem of parame-ter identification was considered as a nonlinear optimization problem． And the enhanced response sensitivity method was used to solve the identification equation． Numerical examples show that the calculation format of the direct problem proposed in the paper can quickly and accurately get response from the system，so the enhanced response sensitivity method can accurately identify the parameters of the fractional system and be insensitive to the measure-ment noise．

Key words: fractional-order differential system, Adams discrete, Newmark-β method, response sensitivity analy-sis, parameter identification

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