Identification Method for Fractional-Order Systems Based on Haar Wavelet Operational Matrix

doi:10.16182/j.issn1004731x.joss.18-0703

Abstract

Abstract: Studies have shown that the dynamical systems can be more accurately described by the fractional-order systems because its order can be any number. That’s why the fractional-order systems are being paid more and more attention. However, how to create a fractional-order system is still in the exploratory stage. Considering the nonlocal features of the fractional differentiation, a method for the fractional-order system identification is proposed by taking the Haar wavelet operational matrix. The proposed method can reduce the dimension of the operational matrix by abandoning the high frequency coefficients of the input and output signals so that the buffer overflow problem of using the operational matrix to identify the systems can be solved.

Key words: fractional-order system, Haar wavelet, operational matrix, system identification

CLC Number:

N945.13

Li Yuanlu, Li Teng, Liu Baoying. Identification Method for Fractional-Order Systems Based on Haar Wavelet Operational Matrix[J]. Journal of System Simulation, 2020, 32(6): 1032-1037.

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