In this paper a new approach to rational discrete-time approximations to continuous fractional-order systems of the form 1/(s α +p) is proposed. We will show that such fractional-order LTI system can be decomposed into sub-systems. One has the classic behavior and the other is similar to a Finite Impulse Response (FIR) system. The conversion from continuous-time to discrete-time systems will be done using the Laplace transform inversion integral and then applying the Bilinear transformation to obtain the corresponding discrete-time system and the corresponding frequency response. An optimization algorithm will be used to find the FIR type parameters that best approximate the discrete-time system. © 2012 IFIP International Federation for Information Processing.
CITATION STYLE
Matos, C., & Ortigueira, M. D. (2012). A new approach to rational discrete-time approximations to continuous-time fractional-order systems. In IFIP Advances in Information and Communication Technology (Vol. 372 AICT, pp. 251–258). Springer New York LLC. https://doi.org/10.1007/978-3-642-28255-3_27
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