Reduced-Order Modeling of Commensurate Fractional-Order Systems

被引：0
|
作者：
Saxena, Sahaj [1 ]
Hote, Yogesh V. [1 ]
Arya, Pushkar Prakash [1 ]
机构：
[1] Indian Inst Technol Roorkec, Dept Elect Engn, Roorkee 247667, Uttar Pradesh, India
来源：
2016 14TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV) | 2016年
关键词：
Model order reduction; optimization; transfer function; step response; Bode plot; REDUCTION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper proposes a new method of finding reduced-order model of a commensurate fractional-order (FO) system. The FO system is first converted to integer-order (IO) and then a mixed method of model-order reduction (MOR) scheme is applied. In this scheme, the denominator is obtained using time-moment matching method and the numerator is determined using the recently developed big bang-big crunch (BB-BC) optimization algorithm. This formulated reduced-order model is reconverted into its commensurate form of FO model. Three examples are presented to validate and illustrate the efficacy of the proposed approach.
引用
收藏
页数：6
相关论文
共 50 条
  • [21] Reduced-Order Approximation of Fractional-Order Controllers by keeping Robust Stability and Robust Performance
    Mihaly, Vlad
    Susca, Mircea
    Birs, Isabela R.
    Dobra, Petru
    [J]. 2023 AMERICAN CONTROL CONFERENCE, ACC, 2023, : 2301 - 2306
  • [22] Passive reduced-order modeling of electromagnetic systems
    Cangellaris, AC
    Zhao, L
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 169 (3-4) : 345 - 358
  • [23] Parametric Reduced-Order Modeling of Aeroelastic Systems
    Vojkovic, Tea
    Vuillemin, Pierre
    Quero, David
    Poussot-Vassal, Charles
    [J]. IFAC PAPERSONLINE, 2022, 55 (20): : 151 - 156
  • [24] Impulse response of commensurate fractional-order systems: multiple complex poles
    Biolek, Dalibor
    Garrappa, Roberto
    Biolkova, Viera
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2022, 25 (05) : 1837 - 1851
  • [25] Basis Functions for a Transient Analysis of Linear Commensurate Fractional-Order Systems
    Biolek, Dalibor
    Biolkova, Viera
    Kolka, Zdenek
    Biolek, Zdenek
    [J]. ALGORITHMS, 2023, 16 (07)
  • [26] H∞-synthesis and control of uncertain fractional-order systems of commensurate type
    Ibrir, Salim
    [J]. IFAC PAPERSONLINE, 2020, 53 (02): : 3638 - 3643
  • [27] Optimal reduced-order approximation of fractional dynamical systems
    Mansouri, R.
    Bettayeb, M.
    Djennoune, S.
    [J]. INTELLIGENT SYSTEMS AND AUTOMATION, 2008, 1019 : 127 - +
  • [28] Impulse response of commensurate fractional-order systems: multiple complex poles
    Dalibor Biolek
    Roberto Garrappa
    Viera Biolková
    [J]. Fractional Calculus and Applied Analysis, 2022, 25 : 1837 - 1851
  • [29] The Modeling of Multibody Systems with Fractional-Order Elements
    Kowal, Janusz
    Lepiarz, Wojciech
    [J]. PROCEEDINGS OF THE 2013 14TH INTERNATIONAL CARPATHIAN CONTROL CONFERENCE (ICCC), 2013, : 208 - 211
  • [30] An Iterative LMI-Based Reduced-Order Observer Design for Fractional-Order Chaos Synchronization
    Mahdi Pourgholi
    Elham Amini Boroujeni
    [J]. Circuits, Systems, and Signal Processing, 2016, 35 : 1855 - 1870
12345