Grünwald-Letnikov-Laguerre Modeling of Discrete-Time Noncommensurate Fractional-Order State Space LTI MIMO Systems

Krzysztof J. Latawiec,Rafał Stanisławski,Marian Łukaniszyn,Marek Rydel,Bogusław R. Szkuta

Lecture Notes in Electrical Engineering（2019）

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摘要

In this paper, a multivariable version of the Grünwald-Letnikov noncommensurate fractional-order difference (FD) is defined and approximated with a powerful Grünwald-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.

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关键词

Grünwald-Letnikov fractional difference,Laguerre-based difference,Multivariable fractional difference,Noncommensurate fractional-order systems,State space systems

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