Stability Analysis of Distributed-Order Systems

被引：1
|
作者：
Rapaic, Milan R. [1 ]
Malti, Rachid [2 ]
Turkulov, Vukan [3 ]
Jelicic, Zoran D. [1 ]
Kapetina, Mirna [1 ]
Sekara, Tomislav B. [4 ]
机构：
[1] Univ Novi Sad, Fac Tech Sci, Novi Sad, Serbia
[2] Univ Bordeaux, CNRS, Bordeaux INP, UMR 5218,IMS, F-33400 Talence, France
[3] Synchrotek DOO, Belgrade, Serbia
[4] Univ Belgrade, Sch Elect Engn, Belgrade, Serbia
来源：
IFAC PAPERSONLINE | 2024年 / 58卷 / 12期
关键词：
stability; distributed order systems; distributed order PID control; VARIABLE-ORDER;
D O I：
10.1016/j.ifacol.2024.08.212
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper deals with stability of distributed order systems. A recently proposed method for stability analysis of a wide class of linear stationary systems is shown to be applicable to distributed order systems as well. In addition, we demonstrate that the well-known distributed order PID control algorithm should be used with utmost care, since the corresponding transfer functions introduce dipoles in the open right-half complex plane. The analysis is illustrated by a numerical example. Copyright (C) 2024 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)
引用
收藏
页码：336 / 340
页数：5
相关论文
共 50 条
  • [1] Stability Analysis of the Nabla Distributed-Order Nonlinear Systems
    Wang, Cuihong
    Zhu, Tianfen
    Chen, Yangquan
    FRACTAL AND FRACTIONAL, 2022, 6 (05)
  • [2] Stability Analysis of Distributed-Order Systems: a Lyapunov Scheme
    Badri, Vahid
    2021 29TH IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE), 2021, : 618 - 621
  • [3] Stability analysis of distributed-order nonlinear dynamic systems
    Taghavian, Hamed
    Tavazoei, Mohammad Saleh
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (03) : 523 - 536
  • [4] Stability Analysis of Linear Time-Invariant Distributed-Order Systems
    Jiao, Zhuang
    Chen, YangQuan
    Zhong, Yisheng
    ASIAN JOURNAL OF CONTROL, 2013, 15 (03) : 640 - 647
  • [5] Properties of the stability boundary in linear distributed-order systems
    Majma, Ehsan
    Tavazoei, Mohammad Saleh
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2020, 51 (10) : 1733 - 1743
  • [6] Stability Analysis of Distributed-Order Hilfer–Prabhakar Systems Based on Inertia Theory
    M. Mashoof
    A. H. Refahi Sheikhani
    H. Saberi Najafi
    Mathematical Notes, 2018, 104 : 74 - 85
  • [7] Stability Analysis of Distributed-Order Hilfer-Prabhakar Systems Based on Inertia Theory
    Mashoof, M.
    Sheikhani, A. H. Refahi
    Najafi, H. Saberi
    MATHEMATICAL NOTES, 2018, 104 (1-2) : 74 - 85
  • [8] Lyapunov Stability of Fractional-order Nonlinear Systems: A Distributed-order Approach
    Li, Yan
    Chen, YangQuan
    2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA), 2014,
  • [9] Stability Analysis on Nabla Discrete Distributed-Order Dynamical System
    Wu, Xiang
    Yang, Xujun
    Song, Qiankun
    Chen, Xiaofeng
    FRACTAL AND FRACTIONAL, 2022, 6 (08)
  • [10] Robust stabilisation of distributed-order systems
    Munoz-Vazquez, Aldo Jonathan
    Fernandez-Anaya, Guillermo
    Diego Sanchez-Torres, Juan
    Boulaaras, Salah
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (17) : 11390 - 11402
12345