Fuzzy prediction-based feedback control of fractional order chaotic systems

被引：17

作者：

Zheng, Yongai ^{[1
]}

机构：

[1] Yangzhou Univ, Coll Informat Engn, Yangzhou 225127, Jiangsu, Peoples R China

来源：

OPTIK | 2015年 / 126卷 / 24期

基金：

中国国家自然科学基金;

关键词：

Fractional order chaotic system; Chaos control; T-S fuzzy model; Predictive control; DIFFERENTIAL-EQUATIONS; SYNCHRONIZATION; HYPERCHAOS; INTEGER; DESIGN;

D O I：

10.1016/j.ijleo.2015.08.164

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, approaches to stabilize a fractional order chaotic system on its original equilibrium point are proposed using the Takagi-Sugeno (T-S) fuzzy models and prediction-based feedback controls. A sufficient condition of asymptotical stability for fractional order T-S fuzzy system is derived based on direct Lyapunov stability theory. The proposed approach offers a systematic design procedure for stabilizing a large class of fractional order chaotic systems in the literature about chaos research. The effectiveness of the approach is tested on fractional order Rossler system and fractional order Lorenz system. (C) 2015 Elsevier GmbH. All rights reserved.

引用

页码：5645 / 5649

页数：5

共 28 条

[1] On nonlinear control design for autonomous chaotic systems of integer and fractional orders
Ahmad, WM
Harb, AM
[J]. CHAOS SOLITONS & FRACTALS, 2003, 18 (04) : 693 - 701
[2] Chaos in fractional-order autonomous nonlinear systems
Ahmad, WM
Sprott, JC
[J]. CHAOS SOLITONS & FRACTALS, 2003, 16 (02) : 339 - 351
[3] Robust synchronization of perturbed Chen's fractional-order chaotic systems
Asheghan, Mohammad Mostafa
Beheshti, Mohammad Taghi Hamidi
Tavazoei, Mohammad Saleh
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) : 1044 - 1051
[4] FRACTIONAL ORDER STATE-EQUATIONS FOR THE CONTROL OF VISCOELASTICALLY DAMPED STRUCTURES
BAGLEY, RL
CALICO, RA
[J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1991, 14 (02) : 304 - 311
[5] Caputo M., 1967, GEOPHYS J INT, V13, P529, DOI [10.1111/j.1365-246X.1967.tb02303.x, DOI 10.1111/J.1365-246X.1967.TB02303.X]
[6] A method for solving differential equations of fractional order
Demirci, Elif
Ozalp, Nuri
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (11) : 2754 - 2762
[7] Analysis of fractional differential equations
Diethelm, K
Ford, NJ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) : 229 - 248
[8] Detailed error analysis for a fractional Adams method
Diethelm, K
Ford, NJ
Freed, AD
[J]. NUMERICAL ALGORITHMS, 2004, 36 (01) : 31 - 52
[9] A predictor-corrector approach for the numerical solution of fractional differential equations
Diethelm, K
Ford, NJ
Freed, AD
[J]. NONLINEAR DYNAMICS, 2002, 29 (1-4) : 3 - 22
[10] Diethelm K., 1997, ELECTRON T NUMER ANA, V5, P1

← 1 2 3 →