Implementation of fractional-order electromagnetic potential through a genetic algorithm

被引：32
|
作者：
Jesus, Isabel S. [1 ]
Machado, J. A. Tenreiro [1 ]
机构：
[1] Inst Engn Porto, Dept Electrotech Engn, P-4200072 Oporto, Portugal
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 05期
关键词：
Electrical potential; Fractional-order systems; Electromagnetism; Multipoles; Genetic algorithms; Optimization;
D O I：
10.1016/j.cnsns.2008.08.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Several phenomena present in electrical systems motivated the development of comprehensive models based on the theory of fractional calculus (FC). Bearing these ideas in mind, in this work are applied the FC concepts to define, and to evaluate, the electrical potential of fractional order, based in a genetic algorithm optimization scheme. The feasibility and the convergence of the proposed method are evaluated. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：1838 / 1843
页数：6
相关论文
共 50 条
  • [11] Fractional order modelling of fractional-order holds
    J. A. Tenreiro Machado
    Nonlinear Dynamics, 2012, 70 : 789 - 796
  • [12] DESIGN OF UNKNOWN INPUT FRACTIONAL-ORDER OBSERVERS FOR FRACTIONAL-ORDER SYSTEMS
    N'Doye, Ibrahima
    Darouach, Mohamed
    Voos, Holger
    Zasadzinski, Michel
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2013, 23 (03) : 491 - 500
  • [13] A review on FPGA implementation of fractional-order systems and PID controllers
    Ali, Aijaz
    Bingi, Kishore
    Ibrahim, Rosdiazli
    Devan, P. Arun Mozhi
    Devika, K. B.
    AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 2024, 177
  • [14] PARALLEL ALGORITHM FOR NUMERICAL METHODS APPLIED TO FRACTIONAL-ORDER SYSTEM
    Rosu, Florin
    SCALABLE COMPUTING-PRACTICE AND EXPERIENCE, 2020, 21 (04): : 701 - 707
  • [15] PARALLEL ALGORITHM FOR NUMERICAL METHODS APPLIED TO FRACTIONAL-ORDER SYSTEM
    ROŞU F.
    ROŞU, FLORIN (florin.rosu@e-uvt.ro), 1600, West University of Timisoara (21): : 701 - 707
  • [16] Numerical simulation algorithm for fractional-order systems implemented in CUDA
    Rosu, Florin
    Bonchis, Cosmin
    Kaslik, Eva
    2020 22ND INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2020), 2020, : 63 - 66
  • [17] Fractional-Order Nonlinear Disturbance Observer Based Control of Fractional-Order Systems
    Munoz-Vazquez, Aldo Jonathan
    Parra-Vega, Vicente
    Sanchez-Orta, Anand
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (07):
  • [18] Robust stabilization criterion of fractional-order controllers for interval fractional-order plants
    Gao, Zhe
    AUTOMATICA, 2015, 61 : 9 - 17
  • [19] Fractional-order cuckoo search algorithm for parameter identification of the fractional-order chaotic, chaotic with noise and hyper-chaotic financial systems
    Yousri, Dalia
    Mirjalili, Seyedali
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2020, 92
  • [20] Implementation and analysis of tunable fractional-order band-pass filter of order 2α
    Ahmed, Ola, I
    Yassin, Heba M.
    Said, Lobna A.
    Psychalinos, Costas
    Radwan, Ahmed G.
    AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 2020, 124
12345