Reduced-order observer design for the synchronization of the generalized Lorenz chaotic systems

被引：65
|
作者：
Zhang, Zhengqiang [1 ]
Shao, Hanyong [1 ]
Wang, Zhen [2 ]
Shen, Hao [3 ]
机构：
[1] Qufu Normal Univ, Sch Elect Engn & Automat, Rizhao 276826, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266590, Peoples R China
[3] Anhui Univ Technol, Sch Elect Engn & Informat, Maan Shan 243002, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 14期
关键词：
Generalized Lorenz chaotic systems; Reduced-order observer; Exponential convergence; CRITERION;
D O I：
10.1016/j.amc.2012.01.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the design of the novel observer that synchronizes with the generalized Lorenz chaotic systems. A simple reduced-order observer scheme is proposed by including extra terms. The boundedness of the state variables in the original system is not necessary for the observer design. The prior knowledge on the derivative signal of the system output is not required. It is also shown that by adopting Lyapunov method and choosing appropriate design parameters, the synchronization (observation) errors can converge to zero exponentially. Finally, numerical examples are provided to illustrate the validity of the theoretical result. (C) 2012 Elsevier Inc. All rights reserved.
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页码：7614 / 7621
页数：8
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