Fractional Order Sallen-Key and KHN Filters: Stability and Poles Allocation

被引：64
|
作者：
Soltan, Ahmed [1 ]
Radwan, Ahmed G. [2 ,3 ]
Soliman, Ahmed M. [4 ]
机构：
[1] Newcastle Univ, Sch Elect & Elect Engn, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
[2] Cairo Univ, Dept Engn Math & Phys, Cairo, Egypt
[3] Nile Univ, NISC, Giza, Egypt
[4] Cairo Univ, Dept Elect & Commun Engn, Cairo, Egypt
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2015年 / 34卷 / 05期
关键词：
Stability; LTI system; Fractional-order system; Filters; Oscillators; Control; DIFFERENTIAL-EQUATIONS; SYSTEMS; SYNCHRONIZATION; NETWORKS; DESIGN; RC;
D O I：
10.1007/s00034-014-9925-z
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：
This paper presents the analysis for allocating the system poles and hence controlling the system stability for KHN and Sallen-Key fractional order filters. The stability analysis and stability contours for two different fractional order transfer functions with two different fractional order elements are presented. The effect of the transfer function parameters on the singularities of the system is demonstrated where the number of poles becomes dependent on the transfer function parameters as well as the fractional orders. Numerical, circuit simulation, and experimental work are used in the design to test the proposed stability contours.
引用
收藏
页码：1461 / 1480
页数：20
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