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
  • [1] Unknown input observer design for a class of fractional order nonlinear systems
    Sharma, Vivek
    Shukla, Manoj
    Sharma, B. B.
    [J]. CHAOS SOLITONS & FRACTALS, 2018, 115 : 96 - 107
  • [2] Robust adaptive fractional-order observer for a class of fractional-order nonlinear systems with unknown parameters
    Kai Chen
    Rongnian Tang
    Chuang Li
    Pengna Wei
    [J]. Nonlinear Dynamics, 2018, 94 : 415 - 427
  • [3] Robust adaptive fractional-order observer for a class of fractional-order nonlinear systems with unknown parameters
    Chen, Kai
    Tang, Rongnian
    Li, Chuang
    Wei, Pengna
    [J]. NONLINEAR DYNAMICS, 2018, 94 (01) : 415 - 427
  • [4] DESIGN OF UNKNOWN INPUT FRACTIONAL-ORDER OBSERVERS FOR FRACTIONAL-ORDER SYSTEMS
    N'Doye, Ibrahima
    Darouach, Mohamed
    Voos, Holger
    Zasadzinski, Michel
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2013, 23 (03) : 491 - 500
  • [5] A New Observer Design for the Joint Estimation of States and Unknown Inputs for a Class of Nonlinear Fractional-Order Systems
    Peng, Chenchen
    Yang, Haiyi
    Yang, Anqing
    Ren, Ling
    [J]. MATHEMATICS, 2024, 12 (08)
  • [6] An Unknown Input Fractional-Order Observer Design for Fractional-Order Glucose-Insulin System
    N'Doye, Ibrahima
    Voos, Holger
    Darouach, Mohamed
    Schneider, Jochen G.
    Knauf, Nicolas
    [J]. 2012 IEEE EMBS CONFERENCE ON BIOMEDICAL ENGINEERING AND SCIENCES (IECBES), 2012,
  • [7] Unknown input observer design for fractional-order one-sided Lipschitz systems
    Jmal, A.
    Naifar, O.
    Derbel, N.
    [J]. 2017 14TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD), 2017, : 65 - 69
  • [8] Unknown Input Observer Scheme for a Class of Nonlinear Generalized Proportional Fractional Order Systems
    Alsharif, Ali Omar M.
    Jmal, Assaad
    Naifar, Omar
    Ben Makhlouf, Abdellatif
    Rhaima, Mohamed
    Mchiri, Lassaad
    [J]. SYMMETRY-BASEL, 2023, 15 (06):
  • [9] Design of Unknown Input Observer for A Class of Nonlinear Systems
    Yang, Yongming
    Li, Yaqiang
    Feng, Yong
    [J]. 2014 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT), 2014, : 7 - 10
  • [10] Reduced-order observer design with unknown input for fractional order descriptor nonlinear systems
    Zhan, Tao
    Ma, Shuping
    [J]. TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (13) : 3705 - 3713
12345