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Using wavelet multi-resolution nature to accelerate the identification of fractional order system |
| Yuan-Lu Li(李远禄)1,2, Xiao Meng(孟霄)2, Ya-Qing Ding(丁亚庆)2 |
1 B-DAT, School of Information and Control, Nanjing University of Information Science & Technology, Nanjing 210044, China;
2 Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, Nanjing University of Information Science & Technology, Nanjing 210044, China |
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Abstract Because of the fractional order derivatives, the identification of the fractional order system (FOS) is more complex than that of an integral order system (IOS). In order to avoid high time consumption in the system identification, the least-squares method is used to find other parameters by fixing the fractional derivative order. Hereafter, the optimal parameters of a system will be found by varying the derivative order in an interval. In addition, the operational matrix of the fractional order integration combined with the multi-resolution nature of a wavelet is used to accelerate the FOS identification, which is achieved by discarding wavelet coefficients of high-frequency components of input and output signals. In the end, the identifications of some known fractional order systems and an elastic torsion system are used to verify the proposed method.
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Received: 21 September 2016
Revised: 07 February 2017
Accepted manuscript online:
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PACS:
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02.30.Jr
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(Partial differential equations)
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02.60.Cb
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(Numerical simulation; solution of equations)
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05.40.Ca
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(Noise)
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05.45.-a
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(Nonlinear dynamics and chaos)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61271395) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20161513). |
Corresponding Authors:
Yuan-Lu Li
E-mail: lyl_nuist@nuist.edu.cn
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Cite this article:
Yuan-Lu Li(李远禄), Xiao Meng(孟霄), Ya-Qing Ding(丁亚庆) Using wavelet multi-resolution nature to accelerate the identification of fractional order system 2017 Chin. Phys. B 26 050201
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