The 21st Century Systems: An Updated Vision of Discrete-Time Fractional Models

Manuel Duarte Ortigueira, J. A. Tenreiro Machado

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
18 Downloads (Pure)

Abstract

Two different approaches for describing discrete-time fractional linear systems are presented. The first is based on the nabla and delta discrete-time derivatives. In this case, suitable exponentials are introduced and used to define discrete Laplace transforms. The second approach is based on the bilinear (Tustin) transformations. For both cases, appropriate algorithms for obtaining the impulse, step, and frequency responses are presented. The state-variable representation is also analysed.

Original languageEnglish
Pages (from-to)6-21
Number of pages16
JournalIEEE Circuits and Systems Magazine
Volume22
Issue number3
DOIs
Publication statusPublished - 2022

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