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
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 27 条
[1]   Robust synchronization of perturbed Chen's fractional-order chaotic systems [J].
Asheghan, Mohammad Mostafa ;
Beheshti, Mohammad Taghi Hamidi ;
Tavazoei, Mohammad Saleh .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) :1044-1051
[2]   FRACTIONAL ORDER STATE-EQUATIONS FOR THE CONTROL OF VISCOELASTICALLY DAMPED STRUCTURES [J].
BAGLEY, RL ;
CALICO, RA .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1991, 14 (02) :304-311
[3]  
Boroujeni E.A., 2012, WORLD ACAD SCI ENG T, V61, P779
[4]   Distributed Coordination of Networked Fractional-Order Systems [J].
Cao, Yongcan ;
Li, Yan ;
Ren, Wei ;
Chen, YangQuan .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (02) :362-370
[5]  
Chen G., 1998, CHAOS ORDER PERSPECT
[6]   Stability and Stabilization of a Class of Nonlinear Fractional-Order Systems With Caputo Derivative [J].
Chen, Liping ;
Chai, Yi ;
Wu, Ranchao ;
Yang, Jing .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2012, 59 (09) :602-606
[7]  
COLE KENNETH S., 1933, COLD SPRING HARBOR SYMPOSIA ON QUANTITATIVE BIOL, V1, P107
[8]  
Dana S.K., 2009, COMPLEX DYNAMICS PHY
[9]   Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems [J].
Duarte-Mermoud, Manuel A. ;
Aguila-Camacho, Norelys ;
Gallegos, Javier A. ;
Castro-Linares, Rafael .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) :650-659
[10]   On fractional calculus and fractional multipoles in electromagnetism [J].
Engheta, N .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1996, 44 (04) :554-566