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.
|Title of host publication||IFIP Advances in Information and Communication Technology|
|Publication status||Published - 1 Jan 2012|
|Event||3rd IFIP/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems - |
Duration: 1 Jan 2012 → …
|Conference||3rd IFIP/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems|
|Period||1/01/12 → …|
Ortigueira, M. D., & DEE Group Author (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, pp. 251-258) https://doi.org/10.1007/978-3-642-28255-3_27