Chaotic synchronization via linear controller

doi:10.1088/1009-1963/16/4/013

中国物理B ›› 2007, Vol. 16 ›› Issue (4): 937-941.doi: 10.1088/1009-1963/16/4/013

Chaotic synchronization via linear controller

陈凤祥, 张卫东

Department of Automation, Shanghai Jiaotong University, Shanghai 200240, China

收稿日期:2006-08-14 修回日期:2006-08-28 出版日期:2007-04-20 发布日期:2007-04-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 60274032) and the Science and Technology Rising-Star Program of Shanghai (Grant No 04QMH1405).

Chaotic synchronization via linear controller

Chen Feng-Xiang(陈凤祥)^† and Zhang Wei-Dong(张卫东)^‡

Department of Automation, Shanghai Jiaotong University, Shanghai 200240, China

Received:2006-08-14 Revised:2006-08-28 Online:2007-04-20 Published:2007-04-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 60274032) and the Science and Technology Rising-Star Program of Shanghai (Grant No 04QMH1405).

摘要/Abstract

摘要： A technical framework of constructing a linear controller for chaotic synchronization by utilizing the stability theory of cascade-connected system is presented. Based on the method developed in the paper, two simple and linear feedback controllers, as examples, are derived for the synchronization of Liu chaotic system and Duffing oscillator, respectively. This method is quite flexible in constructing a control law. Its effectiveness is also illustrated by the simulation results.

Abstract: A technical framework of constructing a linear controller for chaotic synchronization by utilizing the stability theory of cascade-connected system is presented. Based on the method developed in the paper, two simple and linear feedback controllers, as examples, are derived for the synchronization of Liu chaotic system and Duffing oscillator, respectively. This method is quite flexible in constructing a control law. Its effectiveness is also illustrated by the simulation results.

Key words: linear controller, chaotic synchronization, Liu system, Duffing oscillator

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)

陈凤祥, 张卫东. Chaotic synchronization via linear controller[J]. 中国物理B, 2007, 16(4): 937-941.

Chen Feng-Xiang(陈凤祥) and Zhang Wei-Dong(张卫东). Chaotic synchronization via linear controller[J]. Chinese Physics, 2007, 16(4): 937-941.

[1]	Xiaoming Liang(梁晓明), Chao Fang(方超), Xiyun Zhang(张希昀), and Huaping Lü(吕华平). Influence of coupling asymmetry on signal amplification in a three-node motif[J]. 中国物理B, 2023, 32(1): 10504-010504.
[2]	Yong-Bing Hu(胡永兵), Xiao-Min Yang(杨晓敏), Da-Wei Ding(丁大为), and Zong-Li Yang(杨宗立). Finite-time complex projective synchronization of fractional-order complex-valued uncertain multi-link network and its image encryption application[J]. 中国物理B, 2022, 31(11): 110501-110501.
[3]	Yun-Xu Ma(马云旭), Jia-Ning Wang(王佳宁), Zhao-Zhuo Zeng(曾钊卓), Ying-Yue Yuan(袁映月), Jin-Xia Yang(杨金霞), Hui-Bo Liu(刘慧博), Sen-Fu Zhang(张森富), Jian-Bo Wang(王建波), Chen-Dong Jin(金晨东), and Qing-Fang Liu(刘青芳). Spin transfer nano-oscillator based on synthetic antiferromagnetic skyrmion pair assisted by perpendicular fixed magnetic field[J]. 中国物理B, 2022, 31(10): 100501-100501.
[4]	Hongwei Zhang(张红伟), Ran Cheng(程然), and Dawei Ding(丁大为). Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control[J]. 中国物理B, 2022, 31(10): 100504-100504.
[5]	Tao Li(李涛), Lin Yan(严霖), and Zhigang Zheng(郑志刚). Improved functional-weight approach to oscillatory patterns in excitable networks[J]. 中国物理B, 2022, 31(9): 90502-090502.
[6]	Lei Tao(陶蕾) and Sheng-Jun Wang(王圣军). Power-law statistics of synchronous transition in inhibitory neuronal networks[J]. 中国物理B, 2022, 31(8): 80505-080505.
[7]	Xiang Ling(凌翔), Bo Hua(华博), Ning Guo(郭宁), Kong-Jin Zhu(朱孔金), Jia-Jia Chen(陈佳佳), Chao-Yun Wu(吴超云), and Qing-Yi Hao(郝庆一). Synchronization in multilayer networks through different coupling mechanisms[J]. 中国物理B, 2022, 31(4): 48901-048901.
[8]	Yahan Deng(邓雅瀚), Zhongkai Mo(莫中凯), and Hongqian Lu(陆宏谦). Robust H_∞ state estimation for a class of complex networks with dynamic event-triggered scheme against hybrid attacks[J]. 中国物理B, 2022, 31(2): 20503-020503.
[9]	Atiyeh Bayani, Sajad Jafari, and Hamed Azarnoush. Explosive synchronization: From synthetic to real-world networks[J]. 中国物理B, 2022, 31(2): 20504-020504.
[10]	Alireza Bahramian, Sajjad Shaukat Jamal, Fatemeh Parastesh, Kartikeyan Rajagopal, and Sajad Jafari. Collective behavior of cortico-thalamic circuits: Logic gates as the thalamus and a dynamical neuronal network as the cortex[J]. 中国物理B, 2022, 31(2): 28901-028901.
[11]	Dong-Jie Qian(钱冬杰). Explosive synchronization in a mobile network in the presence of a positive feedback mechanism[J]. 中国物理B, 2022, 31(1): 10503-010503.
[12]	Yan-Liang Jin(金彦亮), Run-Zhu Guo(郭润珠), Xiao-Qi Yu(于晓琪), and Li-Quan Shen(沈礼权). Explosive synchronization of multi-layer complex networks based on inter-layer star network connection[J]. 中国物理B, 2021, 30(12): 120505-120505.
[13]	Mei Li(李梅), Ruo-Xun Zhang(张若洵), and Shi-Ping Yang(杨世平). Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay[J]. 中国物理B, 2021, 30(12): 120503-120503.
[14]	Karthikeyan Rajagopal, Anitha Karthikeyan, and Balamurali Ramakrishnan. Controlling chaos and supressing chimeras in a fractional-order discrete phase-locked loop using impulse control[J]. 中国物理B, 2021, 30(12): 120512-120512.
[15]	Shun-Jie Li(李顺杰), Ya-Wen Wu(吴雅文), and Gang Zheng(郑刚). Adaptive synchronization of chaotic systems with less measurement and actuation[J]. 中国物理B, 2021, 30(10): 100503-100503.

Chaotic synchronization via linear controller

Chaotic synchronization via linear controller

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0