Fractional-Order Memory Reset Control for Integer-Order LTI Systems

被引：0
|
作者：
Weise, Christoph [1 ]
Wulff, Kai [1 ]
Reger, Johann [1 ]
机构：
[1] Tech Univ Ilmenau, Control Engn Grp, POB 10 05 65, D-98684 Ilmenau, Germany
来源：
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2019年
基金：
欧盟地平线“2020”;
关键词：
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：
In this contribution we consider the control of integer-order LTI systems by using a fractional-order controller. We show that these controllers lack exponential convergence and propose a periodic memory reset of the controller. Applying this controller the resulting closed-loop dynamics can be represented by a hybrid fractional-order system. Its stability is determined via the induced discrete system. The induced system guarantees exponential convergence and leads to an integer-order interpretation of the closed-loop dynamics for the lower frequency range.
引用
收藏
页码：5710 / 5715
页数：6
相关论文
共 50 条
  • [41] Comparing the Stability Regions for Fractional-Order PI Controllers and Their Integer-Order Approximations
    Rahimian, Mohammad Amin
    Tavazoei, Mohammad Saleh
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 720 - 725
  • [42] Adaptive modified generalized function projection synchronization between integer-order and fractional-order chaotic systems
    Guan, Junbiao
    OPTIK, 2016, 127 (10): : 4211 - 4216
  • [43] Different Generalized Synchronization Schemes Between Integer-Order and Fractional-Order Chaotic Systems with Different Dimensions
    Ouannas A.
    Karouma A.
    Differential Equations and Dynamical Systems, 2018, 26 (1-3) : 125 - 137
  • [44] Comparative analysis of reflected impedance between fractional-order and integer-order wireless power transfer systems
    Zhao, Xiaoguang
    Yang, Jingjing
    Xie, Wenyan
    Shu, Xujian
    Jiang, Yanwei
    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2023, 51 (03) : 1057 - 1068
  • [45] On Inverse Problem of Generalized Synchronization Between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems
    Ouannas, Adel
    Azar, Ahmad Taher
    Radwan, Ahmed G.
    2016 28TH INTERNATIONAL CONFERENCE ON MICROELECTRONICS (ICM 2016), 2016, : 193 - 196
  • [46] Q-S Chaos Synchronization Between Fractional-Order Master and Integer-Order Slave Systems
    Ouannas, Adel
    Viet-Thanh Pham
    Abdelmalek, Salem
    Ziar, Toufik
    Boubaker, Olfa
    2018 15TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS AND DEVICES (SSD), 2018, : 1150 - 1154
  • [47] Dynamic analysis of a new two-dimensional map in three forms: integer-order, fractional-order and improper fractional-order
    Chenguang Ma
    Jun Mou
    Peng Li
    Tianming Liu
    The European Physical Journal Special Topics, 2021, 230 : 1945 - 1957
  • [48] Basic Properties and Stability of Fractional-Order Reset Control Systems
    HosseinNia, S. Hassan
    Tejado, Ines
    Vinagre, Blas M.
    2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 1687 - 1692
  • [49] A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems
    Ouannas, Adel
    Abu-Saris, Raghib
    JOURNAL OF CONTROL SCIENCE AND ENGINEERING, 2015, 2015
  • [50] Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control
    Chen, Diyi
    Zhang, Runfan
    Sprott, Julien Clinton
    Ma, Xiaoyi
    NONLINEAR DYNAMICS, 2012, 70 (02) : 1549 - 1561
12345