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
  • [41] A practical observer for state and sensor fault reconstruction of a class of fractional-order nonlinear systems
    Ahmed, Hassen
    Jmal, Assaad
    Ben Makhlouf, Abdellatif
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2023, 232 (14-15): : 2437 - 2443
  • [42] Fractional Sliding Mode Observer Design for a Class of Uncertain Fractional Order Nonlinear Systems
    Dadras, Sara
    Momeni, Hamid Reza
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 6925 - 6930
  • [43] Sliding Mode Control for a Class of Fractional-Order Nonlinear Systems Based on Disturbance Observer
    Shao, Shuyi
    Chen, Mou
    Yang, Qingyun
    PROCEEDINGS 2016 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT), 2016, : 1790 - 1795
  • [44] Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework
    Nozari, Hasan Abbasi
    Rostami, Seyed Jalil Sadati
    Castaldi, Paolo
    CHAOS SOLITONS & FRACTALS, 2024, 187
  • [45] Event-Triggered State Observer Design for a Class of Nonlinear Time-Delay Fractional-Order Systems
    Huong, Dinh Cong
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2024, 43 (09) : 5556 - 5576
  • [46] Fault detection observer design for fractional-order systems
    Zhong, Wei
    Lu, Junguo
    Miao, Yubin
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 2796 - 2801
  • [47] Observer Design for Fractional-Order Chaotic Neural Networks With Unknown Parameters
    Wang, Suxia
    Zhang, Xiulan
    IEEE ACCESS, 2020, 8 : 120044 - 120052
  • [48] Adaptive Sliding Mode Control of a Class of Fractional-order Chaotic Systems with Nonlinear Input
    Tian, Xiaomin
    Fei, Shumin
    2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA), 2014,
  • [49] Stability analysis of a class of nonlinear fractional-order systems under control input saturation
    Shahri, Esmat Sadat Alaviyan
    Alfi, Alireza
    Tenreiro Machado, J. A.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (07) : 2887 - 2905
  • [50] Disturbance observer-based fractional-order nonlinear sliding mode control for a class of fractional-order systems with matched and mismatched disturbances
    Amir Razzaghian
    Reihaneh Kardehi Moghaddam
    Naser Pariz
    International Journal of Dynamics and Control, 2021, 9 : 671 - 678
12345