Concepedia

Revisiting four approximation methods for fractional order transfer function implementations: Stability preservation, time and frequency response matching analyses

Furkan Nur Deniz, Barış Baykant Alagöz, Nusret Tan, Murat Köseoğlu

Annual Reviews in Control · 2020 · 78 citations · 51 references

Concepts

EngineeringComputational EngineeringDifferential EquationsFrequency ResponseFrequency-domain AnalysisNumerical AnalysisTime-domain ResponseTime-frequency AnalysisTransfer FunctionsFractional Differential EquationsHarmonic ApproximationPiecewise Transfer FunctionsTransfer Function AnalysisTransfer Function Approximation

References

51

Fractional Brownian Motions, Fractional Noises and Applications

Benoît B. Mandelbrot, John W. Van Ness · SIAM Review · 1968 · 7.7K citations

Natural Sciences, Economics, Mathematics +9

Frequency-band complex noninteger differentiator: characterization and synthesis

A. Oustaloup, François Levron, B. Mathieu et al. · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2000 · 1.7K citations

Engineering, Electrical Engineering, Mathematics +10

Stability results for fractional differential equations with applications to control processing

Denis Matignon · 1996 · 1.4K citations

Natural Sciences, Mathematics, Differential Equations +15

Tuning and auto-tuning of fractional order controllers for industry applications

Concepción A. Monje, Blas M. Vinagre, V. Feliú et al. · Control Engineering Practice · 2008 · 993 citations · Full text

Engineering, Industrial Engineering, Manufacturing Engineering +14

Fractional order control - A tutorial

YangQuan Chen, Ivo Petráš, Dingyü Xue · 2009 · 942 citations

Engineering, Mathematics, Systems Engineering +13