Approximations of High-Order Fractional Transfer Functions

被引:0
作者
Korotkov, A. S. [1 ]
Kavruk, A. [1 ]
机构
[1] Peter Great St Petersburg Polytech Univ, St Petersburg 195251, Russia
关键词
SYSTEMS;
D O I
10.1134/S1064226923060086
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
Various solutions of the problem of approximation of high-order fractional transfer functions are considered and a technique for solving the stability problem for such functions is shown. The existing solutions of the problem of approximating function p(alpha) are compared with those proposed on the basis of the least mean square error criterion. As an example, the results of filter simulation using the proposed solution are presented.
引用
收藏
页码:777 / 786
页数:10
相关论文
共 15 条
  • [1] Fractional-Order Circuits and Systems: An Emerging Interdisciplinary Research Area
    Elwakil, Ahmed S.
    [J]. IEEE CIRCUITS AND SYSTEMS MAGAZINE, 2010, 10 (04) : 40 - 50
  • [2] Field programmable analogue array implementation of fractional step filters
    Freeborn, T. J.
    Maundy, B.
    Elwakil, A. S.
    [J]. IET CIRCUITS DEVICES & SYSTEMS, 2010, 4 (06) : 514 - 524
  • [3] Approximated Fractional Order Chebyshev Lowpass Filters
    Freeborn, Todd
    Maundy, Brent
    Elwakil, Ahmed S.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [4] Freeborn TJ, 2016, CIRC SYST SIGNAL PR, V35, P1983, DOI 10.1007/s00034-015-0226-y
  • [5] Khovanskii A. N., 1963, APPL CONTINUED FRACT
  • [6] Validation of Fractional-Order Lowpass Elliptic Responses of (1+α)-Order Analog Filters
    Kubanek, David
    Freeborn, Todd J.
    Koton, Jaroslav
    Dvorak, Jan
    [J]. APPLIED SCIENCES-BASEL, 2018, 8 (12):
  • [7] On the practical realization of higher-order filters with fractional stepping
    Maundy, B.
    Elwakil, A. S.
    Freeborn, T. J.
    [J]. SIGNAL PROCESSING, 2011, 91 (03) : 484 - 491
  • [8] Potapov A. A., 2010, J RADIOELEKTRON, P1
  • [9] Special issue on recent advances in the design and applications of fractional-order circuits and systems
    Psychalinos, Costas
    Elwakil, Ahmed S.
    Allagui, Anis
    Tepljakov, Aleksei
    [J]. AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 2017, 81 : 132 - 135
  • [10] On the stability of linear systems with fractional-order elements
    Radwan, A. G.
    Soliman, A. M.
    Elwakil, A. S.
    Sedeek, A.
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (05) : 2317 - 2328