Rational approximations in the simulation and implementation of fractional-order dynamics: A descriptor system approach

被引：73
|
作者：
Tavazoei, Mohammad Saleh [1 ]
Haeri, Mohammad [1 ]
机构：
[1] Sharif Univ Technol, Dept Elect Engn, Adv Control Syst Lab, Tehran, Iran
来源：
AUTOMATICA | 2010年 / 46卷 / 01期
关键词：
Fractional-order system; Rational approximation; Descriptor system; Fractional-order controller; SINUSOIDAL OSCILLATORS; CHAOS; DIFFERENTIATOR; REALIZATION; STABILITY;
D O I：
10.1016/j.automatica.2009.09.016
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 deals with issues related to the use of rational approximations in the simulation of fractional-order systems and practical implementations of fractional-order dynamics and controllers. Based on the mathematical formulation of the problem, a descriptor model is found to describe the rational approximating model. This model is analyzed and compared with the original fractional-order system under the aspects which are important in their simulation and implementation. From the results achieved,. one can determine in what applications the use of rational approximations would be unproblematic and in what applications it would lead to fallacious results. In order to clarify this point, some examples are presented in which the effects of using rational approximations are investigated. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：94 / 100
页数：7
相关论文
共 50 条
  • [41] Circuit implementation and control of a new fractional-order hyperchaotic system
    Huang Li-Lian
    Xin Fang
    Wang Lin-Yu
    ACTA PHYSICA SINICA, 2011, 60 (01)
  • [42] Image Encryption Implementation Based on Fractional-order Chen System
    Jia, Hongyan
    Wang, Qinghe
    PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON ARTIFICIAL LIFE AND ROBOTICS (ICAROB 2016), 2016, : 254 - 257
  • [43] An Circuit Implementation for a Different Fractional-order Chaotic Switching System
    Liu, Licai
    Du, Chuanhong
    Huang, Lilian
    Liang, Lixiu
    Shi, Shuaishuai
    2018 10TH INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS (ICCCAS 2018), 2018, : 70 - 74
  • [44] Numerical approximations to the nonlinear fractional-order Logistic population model with fractional-order Bessel and Legendre bases
    Izadi, Mohammad
    Srivastava, H. M.
    CHAOS SOLITONS & FRACTALS, 2021, 145
  • [45] Approximation of fractional-order MIMO system – a unified approach
    Swarnakar J.
    International Journal of Systems, Control and Communications, 2023, 15 (01) : 17 - 35
  • [46] Local and global dynamics of a fractional-order predator-prey system with habitat complexity and the corresponding discretized fractional-order system
    Mondal, Shuvojit
    Biswas, Milan
    Bairagi, Nandadulal
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 63 (1-2) : 311 - 340
  • [47] Dengue Transmission Dynamics: A Fractional-Order Approach with Compartmental Modeling
    Meetei, Mutum Zico
    Zafar, Shahbaz
    Zaagan, Abdullah A.
    Mahnashi, Ali M.
    Idrees, Muhammad
    FRACTAL AND FRACTIONAL, 2024, 8 (04)
  • [48] An Optimized Implementation of GL Fractional-Order
    AbdAlRahman, Alaa
    Soltan, Ahmed
    Radwan, Ahmed G.
    2021 IEEE INTERNATIONAL MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS (MWSCAS), 2021, : 669 - 672
  • [49] Dynamics and numerical approximations for a fractional-order SIS epidemic model with saturating contact rate
    Manh Tuan Hoang
    Zain Ul Abadin Zafar
    Thi Kim Quy Ngo
    Computational and Applied Mathematics, 2020, 39
  • [50] Dynamics and numerical approximations for a fractional-order SIS epidemic model with saturating contact rate
    Hoang, Manh Tuan
    Zafar, Zain Ul Abadin
    Ngo, Thi Kim Quy
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04):
12345