超混沌復(fù)系統(tǒng)的自適應(yīng)廣義組合復(fù)同步及參數(shù)辨識(shí)

王詩兵; 王興元

doi:10.11999/JEIT160101

超混沌復(fù)系統(tǒng)的自適應(yīng)廣義組合復(fù)同步及參數(shù)辨識(shí)

doi: 10.11999/JEIT160101

王詩兵¹,
王興元²

2.
(大連理工大學(xué)電子信息與電氣工程學(xué)部大連 116024) ②(阜陽師范學(xué)院計(jì)算機(jī)與信息工程學(xué)院阜陽 236041)

基金項(xiàng)目:

國(guó)家自然科學(xué)基金(61370145, 61173183)，安徽省高校省級(jí)自然科學(xué)基金(KJ2012A214)

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出版歷程
- 收稿日期: 2016-01-21
- 修回日期: 2016-06-08
- 刊出日期: 2016-08-19

Adaptive Generalized Combination Complex Synchronization and Parameter Identification of Hyperchaotic Complex Systems

WANG Shibing¹,
WANG Xingyuan²

2.
(Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China)

Funds:

The National Natural Science Foundation of China (61370145, 61173183), The Natural Science Foundation of Anhui Provincial Universities (KJ2012A214)

摘要

摘要: 該文針對(duì)含未知參數(shù)的異結(jié)構(gòu)超混沌復(fù)系統(tǒng)，基于自適應(yīng)控制及Lyapunov穩(wěn)定性理論，提出一種新的自適應(yīng)廣義組合復(fù)同步方法 (GCCS)。首先給出廣義組合復(fù)同步的定義，將驅(qū)動(dòng)-響應(yīng)系統(tǒng)的同步問題轉(zhuǎn)化為誤差系統(tǒng)零解的穩(wěn)定性問題；然后從理論上設(shè)計(jì)了非線性反饋同步控制器及參數(shù)辨識(shí)更新律，并引入誤差反饋增益，以控制同步的收斂速度；最后以超混沌復(fù)Lorenz系統(tǒng)、超混沌復(fù)Chen系統(tǒng)、超混沌復(fù)L系統(tǒng)的廣義組合復(fù)同步與參數(shù)估計(jì)為例，從數(shù)值仿真角度驗(yàn)證了所提方法的正確性和有效性。
- 超混沌復(fù)系統(tǒng) /
- 廣義組合復(fù)同步 /
- 參數(shù)辨識(shí) /
- 自適應(yīng)控制
Abstract: Based on adaptive control and Lyapunov stability theory, a novel adaptive Generalized Combination Complex Synchronization (GCCS) scheme is proposed for nonidentical hyperchaotic complex systems with unknown parameters. Firstly, the definition of GCCS is presented, and synchronization of drive-response systems is transformed to the zero solution analysis of the error dynamical system. Secondly, a nonlinear feedback controller and parameter update laws are theoretically designed, wherein error feedback gains are introduced to control synchronization speed. Finally, GCCS among the hyperchaotic complex Lorenz system, complex Chen system, and complex L system is carried out to verify the correctness and effectiveness of the proposed scheme by numerical simulation.
- Hyperchaotic complex systems /
- Generalized Combination Complex Synchronization (GCCS) /
- Parameter identification /
- Adaptive control

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參考文獻(xiàn)(21)

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