Identification of the Fractional-Order Systems: A Frequency Domain Approach

被引:0
|
作者
Dzielinski, Andrzej [1 ]
Sierociuk, Dominik
Sarwas, Grzegorz
Petras, Ivo [2 ]
Podlubny, Igor
Skovranek, Tomas
机构
[1] Warsaw Univ Technol, Fac Elect Engn, Inst Control & Ind Elect, Warsaw, Poland
[2] Tech Univ Kosice, BERG Fac, Inst Control & Informatizat Prod Proc, Kosice 04200, Slovakia
关键词
fractional calculus; frequency response; least squares method; total least squares method; ultracapacitor;
D O I
暂无
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
The paper deals with a comparison of different optimization methods to identification of fractional order dynamical systems. The fractional models of the examples of physical systems - ultracapacitors - are established. Then different real frequency responses data from a laboratory setup of the processes are collected and the comparison of identification methods based on least squares and total least squares are presented. The accuracy of the methods is discussed using the frequency responses of the identified model and the theoretical one.
引用
收藏
页码:26 / 33
页数:8
相关论文
共 50 条
  • [41] A Systematic Approach for Implementing Fractional-Order Operators and Systems
    Jiang, Cindy X.
    Carletta, Joan E.
    Hartley, Tom T.
    Veillette, Robert J.
    IEEE JOURNAL ON EMERGING AND SELECTED TOPICS IN CIRCUITS AND SYSTEMS, 2013, 3 (03) : 301 - 312
  • [42] Frequency Domain Behavior Study of Supercapacitor Based on Fractional-order Model
    Yan, Mengdi
    Wei, Li
    Song, Peng
    2019 IEEE 4TH INTERNATIONAL FUTURE ENERGY ELECTRONICS CONFERENCE (IFEEC), 2019,
  • [43] FRACTIONAL-ORDER ITERATIVE LEARNING CONTROL FOR FRACTIONAL-ORDER LINEAR SYSTEMS
    Li, Yan
    Chen, YangQuan
    Ahn, Hyo-Sung
    ASIAN JOURNAL OF CONTROL, 2011, 13 (01) : 54 - 63
  • [44] 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
  • [45] Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers
    Li, Tianzeng
    Wang, Yu
    Yang, Yong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [46] Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems
    Wang, Chenhui
    ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [47] Global heuristic methods for reduced-order modelling of fractional-order systems in the delta domain: a unified approach
    Ganguli, Souvik
    Kaur, Gagandeep
    Sarkar, Prasanta
    RICERCHE DI MATEMATICA, 2024, 73 (02) : 907 - 935
  • [48] Fractional-Order Linear Systems Modeling in Time and Frequency Domains
    Jakowluk, Wiktor
    COMPUTER INFORMATION SYSTEMS AND INDUSTRIAL MANAGEMENT (CISIM 2017), 2017, 10244 : 502 - 513
  • [49] Stabilization of fractional-order unstable delay systems by fractional-order controllers
    Kheirizad, Iraj
    Jalali, Ali Akbar
    Khandani, Khosro
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2012, 226 (I9) : 1166 - 1173
  • [50] Global heuristic methods for reduced-order modelling of fractional-order systems in the delta domain: a unified approach
    Souvik Ganguli
    Gagandeep Kaur
    Prasanta Sarkar
    Ricerche di Matematica, 2024, 73 : 907 - 935