Observer design for a class of nonlinear fractional-order systems with unknown input

被引：34
|
作者：
Kong, Shulan [1 ]
Saif, Mehrdad [2 ]
Liu, Bing [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[2] Univ Windsor, Fac Engn Technol, Dept Elect & Comp Engn, Windsor, ON N9B 3P4, Canada
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 13期
关键词：
STABILITY; SYNCHRONIZATION;
D O I：
10.1016/j.jfranklin.2017.06.011
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A full order fractional-order observer is designed for a class of Lipschitz continuous-time nonlinear fractional-order systems with unknown input. Sufficient conditions of existence for the designed observer and stability of state estimation error system are developed by reconstructing state and using general quadratic Lyapunov function. By applying fractional-order extension of Lyapunov direct method, the stability of the fractional-order state estimation error system is analyzed. Due to the conditions involving a nonlinear matrix inequality, a new sufficient condition with linear matrix inequality (LMI) is reformulated, which makes the full order fractional-order observer implemented easily by using Matlab LMI toolbox. Examples are taken to show the effectiveness of the proposed approach by numerical simulations. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：5503 / 5518
页数：16
相关论文
共 50 条
  • [31] Robust observer design for a class of linear fractional-order systems with matched uncertainties
    Jmal, A.
    Naifar, O.
    Derbel, N.
    2018 15TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS AND DEVICES (SSD), 2018, : 111 - 115
  • [32] Fractional-Order Adaptive Fault Estimation for a Class of Nonlinear Fractional-Order Systems
    N'Doye, Ibrahima
    Laleg-Kirati, Taous-Meriem
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 3804 - 3809
  • [33] Unknown input reduced order observer based synchronization framework for class of nonlinear systems
    Sharma V.
    Sharma B.B.
    Nath R.
    International Journal of Dynamics and Control, 2018, 6 (3) : 1111 - 1125
  • [34] Terminal observer and disturbance observer for the class of fractional-order chaotic systems
    Mohammad Reza Soltanpour
    Mehrdad Shirkavand
    Soft Computing, 2020, 24 : 8881 - 8898
  • [35] Terminal observer and disturbance observer for the class of fractional-order chaotic systems
    Soltanpour, Mohammad Reza
    Shirkavand, Mehrdad
    SOFT COMPUTING, 2020, 24 (12) : 8881 - 8898
  • [36] A Robust and Non-Fragile Observer Design for Nonlinear Fractional-Order Systems
    Kahouli, Omar
    Naifar, Omar
    Ben Makhlouf, Abdellatif
    Bouteraa, Yassine
    Aloui, Ali
    Rebhi, Ali
    SYMMETRY-BASEL, 2022, 14 (09):
  • [37] Robust Backstepping Control Combined with Fractional-Order Tracking Differentiator and Fractional-Order Nonlinear Disturbance Observer for Unknown Quadrotor UAV Systems
    Park, Sungbum
    Han, Seongik
    APPLIED SCIENCES-BASEL, 2022, 12 (22):
  • [38] Design of unknown input observer for fractional order singular systems with application in fault diagnosis
    Komachali, Fateme Pourdadashi
    Shafiee, Masoud
    26TH IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE 2018), 2018, : 970 - 975
  • [39] Stability of a Class of Fractional-Order Nonlinear Systems
    Li, Tianzeng
    Wang, Yu
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [40] Robust controller design of a class of uncertain fractional-order nonlinear systems
    Liu, Heng
    Zhang, Xiulan
    Li, Ning
    Lv, Hui
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 390 - 394
12345