Stabilization of Positive 2D Fractional-Order Continuous-Time Systems with Delays

被引：0
|
作者：
Laila Dami
Mohamed Benhayoun
Abdellah Benzaouia
机构：
[1] University Cadi Ayyad,LAEPT, Department of Physics
来源：
Circuits, Systems, and Signal Processing | 2019年 / 38卷
关键词：
2D positive system; Fractional-order system; Stabilization; Delayed systems; Discretization; Darboux equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the stability and the stabilization problems for a class of 2D fractional-order positive linear systems with and without delays. The obtained results are based on Lyapunov–Krasovskii function. Asymptotic stability and stabilization criteria are then derived. The synthesis of the state controller is obtained by giving conditions in terms of linear programs. A discretization method is established for the 2D fractional-order continuous-time system with delays in order to facilitate the simulation of the acquired results. The accuracy, efficiency and convergence of the obtained results are shown through numerical examples.
引用
收藏
页码：1962 / 1981
页数：19
相关论文
共 50 条
  • [21] General stabilization method of fractional-order PIλDμ controllers for fractional-order systems with time delay
    Yu, Xinyi
    Yang, Fan
    Ou, Linlin
    Wu, Qunhong
    Zhang, Weidong
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (16) : 4999 - 5018
  • [22] Adaptive fractional-order Kalman filters for continuous-time nonlinear fractional-order systems with unknown parameters and fractional-orders
    Yang, Chuang
    Gao, Zhe
    Li, Xuanang
    Huang, Xiaomin
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2021, 52 (13) : 2777 - 2797
  • [23] Stability of linear continuous-time fractional order systems with delays of the retarded type
    Buslowicz, M.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2008, 56 (04) : 319 - 324
  • [24] Exponential stabilization of fractional-order continuous-time dynamic systems via event-triggered impulsive control
    Yu, Nanxiang
    Zhu, Wei
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (03): : 592 - 608
  • [25] Study on initial value problem for fractional-order cubature Kalman filters of nonlinear continuous-time fractional-order systems
    Yang, Chuang
    Gao, Zhe
    Miao, Yue
    Kan, Tao
    NONLINEAR DYNAMICS, 2021, 105 (03) : 2387 - 2403
  • [26] Fractional-order Kalman filters for continuous-time fractional-order systems involving correlated and uncorrelated process and measurement noises
    Liu, Fanghui
    Gao, Zhe
    Yang, Chao
    Ma, Ruicheng
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (07) : 1933 - 1947
  • [27] Fractional-order Kalman filters for continuous-time linear and nonlinear fractional-order systems using Tustin generating function
    Gao, Zhe
    INTERNATIONAL JOURNAL OF CONTROL, 2019, 92 (05) : 960 - 974
  • [28] Study on initial value problem for fractional-order cubature Kalman filters of nonlinear continuous-time fractional-order systems
    Chuang Yang
    Zhe Gao
    Yue Miao
    Tao Kan
    Nonlinear Dynamics, 2021, 105 : 2387 - 2403
  • [29] A novel approach of admissibility for singular linear continuous-time fractional-order systems
    Saliha Marir
    Mohammed Chadli
    Djillali Bouagada
    International Journal of Control, Automation and Systems, 2017, 15 : 959 - 964
  • [30] New admissibility conditions for singular linear continuous-time fractional-order systems
    Marir, Saliha
    Chadli, Mohammed
    Bouagada, Djillali
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (02): : 752 - 766
12345