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Integer order approximation for fractional order derivative

version 1.0.0 (349 KB) by FN Deniz
Matlab function M_SBL was developed to calculate integer order approximate models for fractional order derivative.

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Updated 13 Feb 2021

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The SBL fitting integer order approximation method calculates an integer-order approximate model in the frequency domain by matching the fractional-order derivative and its integer order approximate model to the loci kp and ki obtained in the parametric plane. Users can easily find integer order approximation models of the fractional-order derivatives using the M_SBL function.

Cite As

[1] Deniz, F.N., Alagoz, B.B., Tan, N., &Atherton, D.P. (2016). An Integer Order Approximation Method Based on Stability Boundary Locus for Fractional Order Derivative/Integrator Operators. ISA Transactions, 62, 154–163. [2] Deniz, F.N., Alagoz, B.B., Tan, N., & Koseoglu, M. (2020). Revisiting four approximation methods for fractional order transfer function implementations: Stability preservation, time and frequency response matching analyses. Annual Reviews in Control, 49, 239–257.

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MATLAB Release Compatibility
Created with R2020b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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M_SBL fitting method