Parameter identification of fractional order linear system based on Haar wavelet operational matrix

ISA Transactions
Yuanlu LiYaqing Ding

Abstract

Fractional order systems can be more adequate for the description of dynamical systems than integer order models, however, how to obtain fractional order models are still actively exploring. In this paper, an identification method for fractional order linear system was proposed. This is a method based on input-output data in time domain. The input and output signals are represented by Haar wavelet, and then fractional order systems described by fractional order differential equations are transformed into fractional order integral equations. Taking use of the Haar wavelet operational matrix of the fractional order integration, the fractional order linear system can easily be converted into a system of algebraic equation. Finally, the parameters of the fractional order system are determined by minimizing the errors between the output of the real system and that of the identified system. Numerical simulations, involving integral and fractional order systems, confirm the efficiency of the above methodology.

References

Dec 17, 2009·ISA Transactions·Peyman NazarianMohammad Saleh Tavazoei

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Citations

Mar 27, 2016·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Shanlin QinViktor Vegh
Jan 27, 2021·Materials Today : Proceedings·Art MalikKhursheed Alam
Apr 27, 2021·Applied Mathematical Modelling·Yuli ChenTianzeng Li

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