Abstract
In this paper new non-integer order filter is proposed. Considered filter is given by a transfer function \(\cfrac{c}{s^{2\alpha}+ b s^{\alpha}+c}\), with parameters b and c chosen in a way, that locates the eigenvalues of the system in left open complex half plane. Dependence of frequency characteristic of the system on parameters α, b and c is investigated. Also method for realisation in the form of non-integer order differential equations is analysed.
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Piątek, P., Baranowski, J., Zagórowska, M., Bauer, W., Dziwiński, T. (2015). Bi-Fractional Filters, Part 1: Left Half-Plane Case. In: Latawiec, K., Łukaniszyn, M., Stanisławski, R. (eds) Advances in Modelling and Control of Non-integer-Order Systems. Lecture Notes in Electrical Engineering, vol 320. Springer, Cham. https://doi.org/10.1007/978-3-319-09900-2_8
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DOI: https://doi.org/10.1007/978-3-319-09900-2_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09899-9
Online ISBN: 978-3-319-09900-2
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