Abstract
The paper presents an analysis of discrete time domain realization of Oustaloup approximation. The scheme for realization is presented along with method of implementation of discretization formulas. Discussion for need for such realization is also presented. Finally the stability analysis is given, considering influences of sampling frequency, order and bandwidth. Analysis is illustrated with behavior of spectral radius of the discretized system.
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Acknowledgments
Work realised in the scope of project titled “Design and application of non-integer order subsystems in control systems”. Project was financed by National Science Centre on the base of decision no. DEC-2013/09/D/ST7/03960.
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Baranowski, J., Bauer, W., Zagórowska, M. (2016). Stability Properties of Discrete Time-Domain Oustaloup Approximation. In: Domek, S., Dworak, P. (eds) Theoretical Developments and Applications of Non-Integer Order Systems. Lecture Notes in Electrical Engineering, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-23039-9_8
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DOI: https://doi.org/10.1007/978-3-319-23039-9_8
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