On Arbitrary Fractional System Identification in Frequency Domain

被引:8
|
作者
Li, Dazi [1 ]
Liu, Lang [1 ]
Song, Tianheng [1 ]
Shen, Dong [1 ]
机构
[1] Beijing Univ Chem Technol, Inst Automat, Beijing 100029, Peoples R China
来源
IFAC PAPERSONLINE | 2015年 / 48卷 / 28期
关键词
arbitrary order; fractional system identification; frequency domain; Levenberg-Marquardt algorithm; ORDER SYSTEMS; CONTROLLERS;
D O I
10.1016/j.ifacol.2015.12.332
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An identification algorithm for arbitrary order fractional system is proposed with frequency domain information. According to the frequency domain characteristics of fractional differential operator, the parameters estimation of the arbitrary order fractional system is transformed into a nonlinear equations problem. The variable damping least square method is applied to solve this nonlinear problem. In order to improve the efficiency of the parameters identification, a method to reduce the number of unknown parameters is also investigated. Numerical results illustrate the effectiveness of the proposed approach. (C) 2015, IFAC (International Federation or Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:1421 / 1426
页数:6
相关论文
共 50 条
  • [1] Frequency domain system identification using arbitrary signals
    Pintelon, R
    Schoukens, J
    Vandersteen, G
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (12) : 1717 - 1720
  • [2] Frequency domain system identification using arbitrary signals
    Pintelon, R
    Schoukens, J
    Vandersteen, G
    PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 2048 - 2051
  • [3] Frequency domain substructural identification for arbitrary excitations
    Zhang, Z.
    Koh, C. G.
    Perry, M. J.
    EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 2012, 41 (04): : 605 - 621
  • [4] Frequency-domain subspace system identification with fractional differentiation models
    Ivanova, Elena
    Malti, Rachid
    Moreau, Xavier
    2014 IEEE/ASME 10TH INTERNATIONAL CONFERENCE ON MECHATRONIC AND EMBEDDED SYSTEMS AND APPLICATIONS (MESA 2014), 2014,
  • [5] LINEAR DYNAMIC SYSTEM IDENTIFICATION IN THE FREQUENCY DOMAIN USING FRACTIONAL DERIVATIVES
    Janiczek, Tomasz
    Janiczek, Janusz
    METROLOGY AND MEASUREMENT SYSTEMS, 2010, 17 (02) : 279 - 287
  • [6] Frequency domain identification of fractional order systems
    Li, Wang
    Zhang, Guo-Qing
    Wang, Yong
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2010, 27 (08): : 1118 - 1122
  • [7] Frequency domain fractional subspace identification of PEMFC model
    Ye W.-Q.
    Qi Z.-D.
    Tian J.-X.
    Sun C.-S.
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2022, 39 (07): : 1194 - 1202
  • [8] Frequency domain identification algorithm for fractional order systems
    Peng, Cheng
    Wang, Yong
    Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition), 2008, 38 (SUPPL. 2): : 23 - 26
  • [9] Guaranteed frequency-domain identification of fractional order systems: application to a real system
    Amairi, Messaoud
    Aoun, Mohamed
    Najar, Slaheddine
    Abdelkrim, Mohamed Naceur
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2012, 17 (01) : 32 - 42
  • [10] The System Identification for Multivariable System in Frequency Domain
    Zhao Yong-guo
    Cai Wen-jian
    Jia Lei
    2009 IEEE INTERNATIONAL CONFERENCE ON AUTOMATION AND LOGISTICS ( ICAL 2009), VOLS 1-3, 2009, : 1431 - +