Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control

被引：17

作者：

Wang, Zhen ^{[1
,2
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266590, Peoples R China

[2] Nanjing Univ, State Key Lab Novel Software Technol, Nanjing 210093, Jiangsu, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2013年 / 2013卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

PROJECTIVE SYNCHRONIZATION; HYPERCHAOS; DELAY;

D O I：

10.1155/2013/732503

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Backstepping control approach combined with sliding mode control (SMC) technique is utilized to realize synchronization of uncertain fractional-order strict-feedback chaotic system. A backstepping SMC method is presented to compensate the uncertainty which occurs in the slave system. Moreover, the newly proposed control scheme is applied to implement synchronization of fractional-order Duffing-Holmes system. The simulation results demonstrate that the backstepping SMC method is robust against the modeling uncertainties and external disturbances.

引用

页数：6

共 50 条

[21] Modified projective synchronization of fractional-order chaotic systems via active sliding mode control
Xingyuan Wang
Xiaopeng Zhang
Chao Ma
[J]. Nonlinear Dynamics, 2012, 69 : 511 - 517
[22] Sliding Mode Control of the Fractional-Order Unified Chaotic System
Yuan, Jian
Shi, Bao
Zeng, Xiaoyun
Ji, Wenqiang
Pan, Tetie
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[23] Synchronization of chaotic fractional-order systems via active sliding mode controller
Tavazoei, Mohammad Saleh
Haeri, Mohammad
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (01) : 57 - 70
[24] Control and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative
Zhou, Ping
Ding, Rui
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
[25] Projective synchronization of different uncertain fractional-order multiple chaotic systems with input nonlinearity via adaptive sliding mode control
Zahra Rashidnejad Heydari
Paknosh Karimaghaee
[J]. Advances in Difference Equations, 2019
[26] Projective synchronization of different uncertain fractional-order multiple chaotic systems with input nonlinearity via adaptive sliding mode control
Heydari, Zahra Rashidnejad
Karimaghaee, Paknosh
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[27] Synchronization of fractional-order chaotic systems based on the fractional-order sliding mode controller
Yan Xiaomei
Shang Ting
Zhao Xiaoguo
[J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 429 - 434
[28] Projective synchronization of fractional-order chaotic systems based on sliding mode control
Liu Ding
Yan Xiao-Mei
[J]. ACTA PHYSICA SINICA, 2009, 58 (06) : 3747 - 3752
[29] Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System
Guan, Junbiao
Wang, Kaihua
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[30] Synchronization of Fractional-Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control
Xu, Yong
Wang, Hua
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,

← 1 2 3 4 5 →