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Accuracy Analysis for Fractional Order Transfer Function Models with Delay

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Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

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Abstract

In the paper a new accuracy estimation method for fractional order transfer functions with delay is presented. Oustaloup’s recursive approximation (ORA approximation) and Charef approximation allow us to describe fractional-order systems with the use of integer-order, proper transfer function, a delay is required to be modeled with the use of Pade approximant. Results are by simulations depicted.

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Acknowledgments

This paper was supported by the AGH (Poland) – project no 11.11.120.817.

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Correspondence to Krzysztof Oprzędkiewicz .

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Oprzędkiewicz, K., Mitkowski, W. (2017). Accuracy Analysis for Fractional Order Transfer Function Models with Delay. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_23

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

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