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
  • [31] STATE AND PARAMETER-ESTIMATION FOR NON-LINEAR SYSTEMS
    CARMICHAEL, N
    PRITCHARD, AJ
    QUINN, MD
    APPLIED MATHEMATICS AND OPTIMIZATION, 1982, 9 (02): : 133 - 161
  • [32] Observer-based non-fragile H∞ control for linear systems
    Wang, W
    Yang, FW
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 1 : 102 - 106
  • [33] Extended state observer-based robust non-linear integral dynamic surface control for triaxial MEMS gyroscope
    Hosseini-Pishrobat, Mehran
    Keighobadi, Jafar
    ROBOTICA, 2019, 37 (03) : 481 - 501
  • [34] Observer-based control of linear complementarity systems
    Heemels, W. P. M. H.
    Camlibel, M. K.
    Schumacher, J. M.
    Brogliato, B.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (10) : 1193 - 1218
  • [35] Observer-based stabilization of linear switching systems
    Caravani, Paolo
    De Santis, Elena
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2009, 19 (14) : 1541 - 1563
  • [36] Observer-based stabilization of switching linear systems
    Li, ZG
    Wen, CY
    Soh, YC
    AUTOMATICA, 2003, 39 (03) : 517 - 524
  • [37] Control of non-linear systems based on interval observer design
    He, Zhongwei
    Xie, Wei
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (04): : 543 - 548
  • [38] An identification-based state estimation method for a class of non-linear systems
    Atam, E.
    Hooker, G.
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2010, 224 (I4) : 349 - 359
  • [39] Observer-based control of linear complementarity systems
    Heemels, W. P. M. H.
    Camlibel, M. K.
    Brogliato, B.
    Schumacher, J. M.
    HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2008, 4981 : 259 - +
  • [40] Observer-based neural control for MIMO pure-feedback non-linear systems with input saturation and disturbances
    Liu, Wenhui
    Lu, Junwei
    Zhang, Zhengqiang
    Xu, Shengyuan
    IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (17): : 2314 - 2324
12345