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

页码：1838 / 1843

页数：6

共 50 条

[31] Reduced-Order Model Approximation of Fractional-Order Systems Using Differential Evolution Algorithm
Bourouba B.
Ladaci S.
Chaabi A.
Journal of Control, Automation and Electrical Systems, 2018, 29 (1) : 32 - 43
[32] Stable Model Order Reduction Method for Fractional-Order Systems Based on Unsymmetric Lanczos Algorithm
Gao, Zhe
IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2019, 6 (02) : 485 - 492
[33] Stable Model Order Reduction Method for Fractional-Order Systems Based on Unsymmetric Lanczos Algorithm
Zhe Gao
IEEE/CAAJournalofAutomaticaSinica, 2019, 6 (02) : 485 - 492
[34] A Study of Fractional-Order Memristive Ant Colony Algorithm: Take Fracmemristor into Swarm Intelligent Algorithm
Zhu, Wuyang
Pu, Yifei
FRACTAL AND FRACTIONAL, 2023, 7 (03)
[35] Robust stabilizing regions of fractional-order PIλ controllers for fractional-order systems with time-delays
Gao Z.
Zhai L.-R.
Liu Y.-D.
International Journal of Automation and Computing, 2017, 14 (3) : 340 - 349
[36] Reduced order Kalman filter for a continuous-time fractional-order system using fractional-order average derivative
Gao, Zhe
APPLIED MATHEMATICS AND COMPUTATION, 2018, 338 : 72 - 86
[37] Fractional-order PID controller tuning using continuous state transition algorithm
Zhang, Fengxue
Yang, Chunhua
Zhou, Xiaojun
Gui, Weihua
NEURAL COMPUTING & APPLICATIONS, 2018, 29 (10) : 795 - 804
[38] Optimal Design of Fractional-Order Digital Differentiator Using Flower Pollination Algorithm
Mahata, Shibendu
Saha, Suman Kumar
Kar, Rajib
Mandal, Durbadal
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2018, 27 (08)
[39] A Modified Quantum Bacterial Foraging Algorithm for Parameters Identification of Fractional-Order System
Liu, Lu
Shan, Liang
Dai, Yuewei
Liu, Chenglin
Qi, Zhidong
IEEE ACCESS, 2018, 6 : 6610 - 6619
[40] Fractional-order global optimal backpropagation machine trained by an improved fractional-order steepest descent method
Pu, Yi-fei
Wang, Jian
FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING, 2020, 21 (06) : 809 - 833

← 1 2 3 4 5 →