New Approach to Realize Fractional Power in z-Domain at Low Frequency

被引：25
|
作者：
Visweswaran, G. S. [1 ]
Varshney, P. [2 ]
Gupta, M. [3 ]
机构：
[1] Indian Inst Technol, Dept Elect Engn, New Delhi 110016, India
[2] Netaji Subhas Inst Technol, Dept Instrumentat & Control Engn, New Delhi 110078, India
[3] Netaji Subhas Inst Technol, Dept Elect & Commun Engn, New Delhi 110078, India
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2011年 / 58卷 / 03期
关键词：
Al-Alaoui operator; Al-Alaoui-Schneider-Kaneshige-Groutage (AL-SKG) rule; fractional-order differentiator (FOD); Schneider operator; Z MAPPING FUNCTIONS; DIGITAL INTEGRATOR; TIME FILTERS; DIFFERENTIATORS; DESIGN; IMPLEMENTATION; SIGNAL;
D O I：
10.1109/TCSII.2011.2110350
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this brief, modifications of the Schneider operator and the Al-Alaoui-Schneider-Kaneshige-Groutage rule have been explored for the improved performance of the fractional-order differentiator (FOD) in the low-frequency range. The FOD models are obtained using continued-fraction expansion (CFE), and it is observed that the magnitude responses obtained using the CFE outperform the results of the discretizations of FODs based on existing first-order and higher order s-to-z transformations in the low-frequency range. The phase responses of the FOD models show a linear response over a part of the low-frequency ranges that can be used for various applications. MATLAB simulation results have been presented to validate the effectiveness of the proposed work. These models can be used for hardware realizations of fractional-order systems.
引用
收藏
页码：179 / 183
页数：5
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