Grünwald-Letnikov-Laguerre Modeling of Discrete-Time Noncommensurate Fractional-Order State Space LTI MIMO Systems
| Autor: | Marian Łukaniszyn, Krzysztof J. Latawiec, Bogusław R. Szkuta, Rafał Stanisławski, Marek Rydel |
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| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Multivariable calculus 02 engineering and technology 01 natural sciences 020901 industrial engineering & automation Discrete time and continuous time 0103 physical sciences Laguerre polynomials Order (group theory) State space Applied mathematics 010301 acoustics Mathematics Mimo systems |
| Zdroj: | Lecture Notes in Electrical Engineering ISBN: 9783319784571 RRNR |
| DOI: | 10.1007/978-3-319-78458-8_7 |
| Popis: | In this paper, a multivariable version of the Grunwald-Letnikov noncommensurate fractional-order difference (FD) is defined and approximated with a powerful Grunwald-Letnikov-Laguerre (GLL) combination of finite fractional difference (FFD) and finite Laguerre-based difference (FLD) to obtain finite fractional/Laguerre-based difference (FFLD). The multivariable FFLD is effectively employed to model noncommensurate fractional-order state-space LTI MIMO systems. |
| Databáze: | OpenAIRE |
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