FFLD-Based Modeling of Fractional-Order State Space LTI MIMO Systems

被引：1
|
作者：
Latawiec, Krzysztof J. [1 ]
Stanislawski, Rafal [1 ]
Lukaniszyn, Marian [1 ]
Rydel, Marek [1 ]
Szkuta, Boguslaw R. [1 ]
机构：
[1] Opole Univ Technol, Dept Elect Control & Comp Engn, Ul Proszkowska 76, PL-45758 Opole, Poland
来源：
APPLIED PHYSICS, SYSTEM SCIENCE AND COMPUTERS | 2018年 / 428卷
关键词：
Grunwald-Letnikov fractional difference; Laguerre-based difference; Multivariable fractional difference; Fractional order systems; State space systems; APPROXIMATION; OPERATORS; DERIVATIVES;
D O I：
10.1007/978-3-319-53934-8_36
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper introduces a multivariable version of the Grinwald-Letnikov fractional-order difference (FD) and approximates it with a powerful combination of finite fractional difference (FFD) and finite Laguerre-based difference (FLD) to yield finite fractional/Laguerre-based difference (FFLD). The multivariable FFLD is effectively used to model fractional-order state-space LTI MIMO systems.
引用
收藏
页码：293 / 302
页数：10
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