Synchronizing chaotic systems using control based on tridiagonal structure

被引：11
|
作者：
Liu, Bin [1 ]
Zhou, Yiming [1 ]
Jiang, Min [1 ]
Zhang, Zengke [1 ]
机构：
[1] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 05期
关键词：
2 LORENZ SYSTEMS; ADAPTIVE SYNCHRONIZATION; BACKSTEPPING DESIGN; CIRCUITS;
D O I：
10.1016/j.chaos.2007.06.099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The direct design approach based on tridiagonal structure combines the structure analysis with the design of stabilizing controller and the original nonlinear affine systems is transformed into a stable system with special tridiagonal structure using the method. In this study, the direct method is proposed for synchronizing chaotic systems. There are several advantages in this method for synchronizing chaotic systems: (a) it presents in easy procedure for selecting proper controllers in chaos synchronization; (b) it Constructs simple controllers easy to implement. Examples of Lorenz system, Chua's circuit and Duffing system are presented. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2274 / 2281
页数：8
相关论文
共 50 条
  • [1] Synchronizing chaotic systems based on an arbitrary function matrix
    Lin Li-Xiong
    Peng Xia-Fu
    ACTA PHYSICA SINICA, 2014, 63 (08)
  • [2] Intermittent synchronizing fractional unified chaotic systems
    Hu Jian-Bing
    Zhang Guo-An
    Zhao Ling-Dong
    Zeng Jin-Quan
    ACTA PHYSICA SINICA, 2011, 60 (06)
  • [3] Fuzzy resilient control for synchronizing chaotic systems with time-variant delay and external disturbance
    Tai, Weipeng
    Zuo, Dandan
    Han, Jing
    Zhou, Jianping
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (17):
  • [4] Synchronization of Chaotic Systems Using Linear and Nonlinear Feedback Control
    Ikhlef, A.
    Mansouri, N.
    CHAOS AND COMPLEX SYSTEMS, 2013, : 307 - 314
  • [5] Finite-Time Synchronizing Control for Chaotic Neural Networks
    Zhang, Chao
    Guo, Qiang
    Wang, Jing
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [6] Synchronization of chaotic systems using fuzzy impulsive control
    Wang, Zi-Peng
    Wu, Huai-Ning
    NONLINEAR DYNAMICS, 2014, 78 (01) : 729 - 742
  • [7] Synchronizing chaotic systems up to an arbitrary scaling matrix via a single signal
    Grassi, Giuseppe
    Miller, Damon A.
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (10) : 6118 - 6124
  • [8] Synchronization of chaotic systems with unknown parameters using adaptive passivity-based control
    Kuntanapreeda, Suwat
    Sangpet, Teerawat
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (08): : 2547 - 2569
  • [9] Synchronizing the noise-perturbed Genesio chaotic system by sliding mode control
    Jianwen, Feng
    Ling, He
    Chen, Xu
    Austin, Francis
    Geng, Wu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (09) : 2546 - 2551
  • [10] Synchronization of different fractional order chaotic systems using active control
    Bhalekar, Sachin
    Daftardar-Gejji, Varsha
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) : 3536 - 3546
12345