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Robust fractional order differentiators using generalized modulating functions method
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DOI：10.1016/j.sigpro.2014.05.016.png)
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摘要
En 中文
This paper aims at designing a fractional order differentiator for a class of signals satisfying a linear differential equation with unknown parameters. A generalized modulating functions method is proposed first to estimate the unknown parameters, then to derive accurate integral formulae for the left-sided Riemann-Liouville fractional derivatives of the studied signal. Unlike the improper integral in the definition of the left-sided Riemann-Liouville fractional derivative, the integrals in the proposed formulae can be proper and be considered as a low-pass filter by choosing appropriate modulating functions. Hence, digital fractional order differentiators applicable for on-line applications are deduced using a numerical integration method in discrete noisy case. Moreover, some error analysis are given for noise error contributions due to a class of stochastic processes. Finally, numerical examples are given to show the accuracy and robustness of the proposed fractional order differentiators. (C) 2014 Elsevier B.V. All rights reserved.
Keyword:
Fractional order differentiator
Riemann-Liouville derivative
Generalized modulating functions method
Noise
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3.6
论文数:
10.0K
被引数:
1.7W
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