A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order Systems

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.
Original languageUnknown
Title of host publicationIFIP Advances in Information and Communication Technology
Pages251-258
Volume372
DOIs
Publication statusPublished - 1 Jan 2012
Event3rd IFIP/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems -
Duration: 1 Jan 2012 → …

Conference

Conference3rd IFIP/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems
Period1/01/12 → …

Cite this

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