Observer-based state estimation for non-linear fractional systems

被引：2
|
作者：
Li, Fengying [1 ]
Wu, Ranchao [1 ]
Liang, Song [1 ]
机构：
[1] Anhui Univ, Sch Math, Hefei 230601, Anhui, Peoples R China
来源：
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2015年 / 5卷 / 04期
基金：
美国国家科学基金会;
关键词：
Caputo derivative; Lyapunov direct method; asymptotical stability;
D O I：
10.1504/IJDSDE.2015.072841
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a scheme based on the state observer to estimate fractional systems has been designed by means of synchronising the state observer with the original systems. Fractional-order direct Lyapunov method is used to derived the asymptotical stability of the state error system. The gains of the observer are obtained in terms of linear matrix inequalities. Finally, the simulation results demonstrate validity and effectiveness of the proposed state observer.
引用
收藏
页码：322 / 335
页数：14
相关论文
共 50 条
  • [1] Uncertainty Observer-Based Control for a Class of Fractional- Order Non-Linear Systems with Non-Linear Control Inputs
    Montesinos-Garcia, Juan Javier
    Barahona-Avalos, Jorge Luis
    Linares-Flores, Jesus
    Juarez-Abad, Jose Antonio
    FRACTAL AND FRACTIONAL, 2023, 7 (12)
  • [2] Non-linear estimation and observer-based output feedback control
    Batmani, Y.
    Khodakaramzadeh, S.
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (17): : 2548 - 2555
  • [3] ITERATIVE OBSERVER-BASED STATE AND PARAMETER ESTIMATION FOR LINEAR SYSTEMS
    Aalto, Atte
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2018, 24 (01) : 265 - 288
  • [4] Observer-based modified repetitive control for fractional-order non-linear systems with unknown disturbances
    Sakthivel, Rathinasamy
    Raajananthini, Kanagaraj
    Alzahrani, Faris
    Kaviarasan, Boomipalagan
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (18): : 3132 - 3138
  • [5] Disturbance observer-based control of non-linear haptic teleoperation systems
    Mohammadi, A.
    Tavakoli, M.
    Marquez, H. J.
    IET CONTROL THEORY AND APPLICATIONS, 2011, 5 (18): : 2063 - 2074
  • [6] Observer-based stabilisation of a class of fractional order non-linear systems for 0 < α < 2 case
    Li, Chuang
    Wang, Jingcheng
    Lu, Junguo
    Ge, Yang
    IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (13): : 1238 - 1246
  • [7] Observer-based robust stabilisation of a class of non-linear fractional-order uncertain systems: an linear matrix inequalitie approach
    Li, C.
    Wang, J.
    Lu, J.
    IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (18): : 2757 - 2764
  • [8] Observer-based robust preview tracking control for a class of non-linear systems
    Huang Chao
    Huang Hailong
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (07): : 991 - 998
  • [9] Robust and simple intelligent observer-based fault estimation and reconstruction for a class of non-linear systems: HIRM aircraft
    Khooban, M. H.
    Siahi, M.
    Soltanpour, M. -R.
    AERONAUTICAL JOURNAL, 2016, 120 (1225): : 457 - 472
  • [10] An observer-based anti-windup scheme for non-linear systems with input constraints
    Kapoor, N
    Daoutidis, P
    INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (01) : 18 - 29
12345