[1] Li Yuanlu, Yu Shenglin,. Frequency domain identificationof non-integer order dynamical systems [J]. Journal of Southeast University (English Edition), 2007, 23 (1): 47-50. [doi:10.3969/j.issn.1003-7985.2007.01.011]

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Frequency domain identificationof non-integer order dynamical systems()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

23

Issue:

2007 1

Page:

47-50

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2007-03-30

Info

Title:

Frequency domain identificationof non-integer order dynamical systems

Author(s):

Li Yuanlu;  Yu Shenglin

College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Keywords:

non-integer order dynamical system;  non-integer order system identification;  generalized Levy method;  weighted iteration method

PACS:

O231

DOI:

10.3969/j.issn.1003-7985.2007.01.011

Abstract:

Two new methods, the generalized Levy method and the weighted iteration method, are presented for identification of non-integer order systems.The first method generalizes the Levy identification method from the integer order systems to the non-integer order systems.Then, the weighted iteration method is presented to overcome the shortcomings of the first method.Results show that the proposed methods have better performance compared with the integer order identification method.For the non-integer order systems, the proposed methods have the better fitting for the system frequency response.For the integer order system, if commensurate order scanning is applied, the proposed methods can also achieve the best integer order model which fits the system frequency response.At the same time, the proposed algorithms are more stable.

References:

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Memo

Memo:

Biographies: Li Yuanlu(1973—), male, graduate;Yu Shenglin(corresponding author), male, professor, yushmt@nuaa.edu.cn.

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