Adaptive lag synchronization of uncertain dynamical systems with time delays via simple transmission lag feedback

In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple fee...

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Published inChinese physics B Vol. 22; no. 8; pp. 346 - 355
Main Author 顾卫东 孙志勇 吴晓明 于长斌
Format Journal Article
LanguageEnglish
Published 01.08.2013
Subjects
Adaptive systems
Control systems
Control theory
Delay
Dynamical systems
Lorenz系统
Mathematical models
Response time
Synchronization
Time delay
传输延迟
动力系统
同步
时间延迟
滞后反馈
线性驱动系统
自适应
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/8/080507

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Summary:In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal popagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment.
Bibliography:adaptive feedback, time delay, lag synchronization, parameter identification, noise perturbation
Gu Wei-Dong Sun Zhi-Yong, Wu Xiao-Ming, and Yu Chang-Bin Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center, Jinan 250014, China
11-5639/O4
In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal popagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment.
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/8/080507