Adaptive synchronization of multiple uncertain coupled chaotic systems via sliding mode control

被引:98
|
作者
Chen, Xiangyong [1 ,2 ,3 ,4 ,5 ]
Park, Ju H. [6 ]
Cao, Jinde [5 ,7 ]
Qiu, Jianlong [1 ,2 ,3 ,4 ]
机构
[1] Univ Shandong, Sch Automat & Elect Engn, Jinan, Shandong, Peoples R China
[2] Univ Shandong, Key Lab Complex Syst & Intelligent Comp, Jinan, Shandong, Peoples R China
[3] Linyi Univ, Linyi 276005, Peoples R China
[4] Qufu Normal Univ, Coll Engn, Rizhao 273165, Peoples R China
[5] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[6] Yeungnam Univ, Dept Elect Engn, Kyongsan 38541, South Korea
[7] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Shandong, Peoples R China
基金
中国国家自然科学基金; 新加坡国家研究基金会;
关键词
Multiple chaotic systems; Unknown parameters; Disturbances; Transmission synchronization; Sliding mode control; EXTERNAL DISTURBANCES; COMBINATION SYNCHRONIZATION; UNKNOWN-PARAMETERS; NONLINEAR-SYSTEMS; RING CONNECTION; NETWORKS;
D O I
10.1016/j.neucom.2017.07.063
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper mainly investigates two kinds of sliding mode synchronization (SMS) for multiple chaotic systems with unknown parameters and disturbances. Both multiple coupled systems and uncoupled systems are considered. For multiple uncoupled chaotic systems (MUCSs), the sliding mode control scheme is designed to ensure that multiple response systems synchronize with one drive system under the effects of external disturbances, and the appropriate adaptive laws are proposed to estimate unknown parameters. For multiple coupled chaotic systems (MCCSs), the definition of transmission synchronization is given first. Furthermore, a special integral sliding surfaces is selected, and the corresponding controllers with the compensation terms are developed to realize SMS between every drive chaotic system and every respond system in transmission mode. Finally, some numerical examples are presented to illustrate the validity of theoretical results. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:9 / 21
页数:13
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