[1] Wang Zhenbin, Cao Guangyi, Zhu Xinjian,. Identification algorithm for a kind of fractional order system [J]. Journal of Southeast University (English Edition), 2004, 20 (3): 297-302. [doi:10.3969/j.issn.1003-7985.2004.03.007]

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Identification algorithm for a kind of fractional order system()

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

Volumn:

20

Issue:

2004 3

Page:

297-302

Research Field:

Automation

Publishing date:

2004-09-30

Info

Title:

Identification algorithm for a kind of fractional order system

Author(s):

Wang Zhenbin;  Cao Guangyi;  Zhu Xinjian

Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China

Keywords:

fractional order systems;  state-space representation;  system identification;  fractional order Poisson filter;  least square method;  instrumental variable method

PACS:

TP13

DOI:

10.3969/j.issn.1003-7985.2004.03.007

Abstract:

The state-space representation of linear time-invariant(LTI)fractional order systems is introduced, and a proof of their stability theory is also given. Then an efficient identification algorithm is proposed for those fractional order systems. The basic idea of the algorithm is to compute fractional derivatives and the filter simultaneously, i.e., the filtered fractional derivatives can be obtained by computing them in one step, and then system identification can be fulfilled by the least square method. The instrumental variable method is also used in the identification of fractional order systems. In this way, even if there is colored noise in the systems, the unbiased estimation of the parameters can still be obtained. Finally an example of identifying a viscoelastic system is given to show the effectiveness of the aforementioned method.

References:

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[7] Bagley R L, Calico R A. Fractional-order state equations for the control of viscoelastic damped structures [J]. J Guidance, Control and Dynamics, 1991, 14(2): 304-311.
[8] Ikeda F, Kawata S. An optimal design of fractional differential active mass dampers for structures equipped with viscoelastic dampers [A]. In: 5th International Conference on Motion and Vibration Control [C]. Australia, 2000. 223-228.
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Memo

Memo:

Biographies: Wang Zhenbin(1973—), male, graduate; Cao Guangyi(corresponding author), male, doctor, professor, gycao@sjtu.edu.cn.

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