Design of Functional Fractional-Order Observers for Linear Time-Delay Fractional-Order Systems in the Time Domain

被引：0
|
作者：
Boukal, Y. [1 ,2 ]
Darouach, M. [1 ]
Zasadzinski, M. [1 ]
Radhy, N. E. [2 ]
机构：
[1] Univ Lorraine, CRAN, UMR 7039, CNRS,IUT Longwy, 186 Rue Lorraine, F-54400 Cosnes Et Romain, France
[2] Univ Hassan 2, Fac Sci Ain Chock, LPMMAT, Casablanca 20100, Morocco
来源：
2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA) | 2014年
关键词：
Fractional-order Time-Delay System; Functional Observer; Lyapunov stability; Linear Matrix Inequality (LMI);
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents the functional observers design for linear fractional-order time-delay systems. Conditions for the existence of the these observers are given. Asymptotic stability of these observers are obtained from the fractional-order Lyapunov function. The gains of the observer are derived by using the linear matrix inequality approach. A numerical example is presented to illustrate our approach.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] Distributed functional observers for fractional-order time-varying interconnected time-delay systems
    Dinh Cong Huong
    Computational and Applied Mathematics, 2020, 39
  • [2] Distributed functional observers for fractional-order time-varying interconnected time-delay systems
    Huong, Dinh Cong
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04):
  • [3] Positivity and Stability of Fractional-Order Linear Time-Delay Systems
    Yilin Hao
    Chengdai Huang
    Jinde Cao
    Heng Liu
    Journal of Systems Science and Complexity, 2022, 35 : 2181 - 2207
  • [4] Positivity and Stability of Fractional-Order Linear Time-Delay Systems
    HAO Yilin
    HUANG Chengdai
    CAO Jinde
    LIU Heng
    JournalofSystemsScience&Complexity, 2022, 35 (06) : 2181 - 2207
  • [5] Positivity and Stability of Fractional-Order Linear Time-Delay Systems
    Hao Yilin
    Huang Chengdai
    Cao Jinde
    Liu Heng
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2022, 35 (06) : 2181 - 2207
  • [6] Fractional-Order Optimal Control of Fractional-Order Linear Vibration Systems with Time Delay
    Balochian, Saeed
    Rajaee, Nahid
    INTERNATIONAL JOURNAL OF SYSTEM DYNAMICS APPLICATIONS, 2018, 7 (03) : 72 - 93
  • [7] Unknown input fractional-order functional observer design for one-side Lipschitz time-delay fractional-order systems
    Mai Viet Thuan
    Dinh Cong Huong
    Nguyen Huu Sau
    Quan Thai Ha
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (15) : 4311 - 4321
  • [8] Robust stabilizing regions of fractional-order PDμ controllers of time-delay fractional-order systems
    Gao, Zhe
    Yan, Ming
    Wei, Junxiu
    JOURNAL OF PROCESS CONTROL, 2014, 24 (01) : 37 - 47
  • [9] Finite-time stability of linear fractional-order time-delay systems
    Naifar, Omar
    Nagy, A. M.
    Ben Makhlouf, Abdellatif
    Kharrat, Mohamed
    Hammami, Mohamed Ali
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (01) : 180 - 187
  • [10] Stabilization of Fractional-Order Descriptor Time-Delay Systems
    Pakzad, Mohammad Ali
    2023 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, ISCAS, 2023,
12345