Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay | |
Mobayen, Saleh1; Ma, Jun2 | |
2018-09 | |
发表期刊 | CHAOS SOLITONS & FRACTALS |
ISSN | 0960-0779 |
卷号 | 114页码:46-54 |
摘要 | This paper proposes a combination of finite-time robust-tracking theory and composite nonlinear feedback approach for the finite-time and high performance synchronization of the chaotic systems in the presence of the external disturbances, parametric uncertainties, Lipschitz nonlinearities and time delays. The composite nonlinear feedback control technique develops an accurate and high-performance response for the following of the master chaotic system and the finite time concept provides the convergence of the error signals to zero in the finite time. Therefore, in this work, we will develop a new finite time robust tracking and model following control approach based on the composite nonlinear feedback scheme. Using the Lyapunov stability approach, we have proved that the tracking errors of the uncertain chaotic system converge to the origin in the finite time. Moreover, a sufficient criterion is derived to guarantee the robust asymptotic stability of the synchronization error dynamics. Simulation results on Chua's chaotic system are presented to prove the performance of the suggested controller compared to the other technique. (C) 2018 Elsevier Ltd. All rights reserved. |
关键词 | Composite nonlinear feedback Finite time control Chaos synchronization Robust tracking control Lipschitz nonlinearities |
DOI | 10.1016/j.chaos.2018.06.020 |
收录类别 | SCI ; SCIE |
语种 | 英语 |
WOS研究方向 | Mathematics ; Physics |
WOS类目 | Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical |
WOS记录号 | WOS:000445647600006 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
EI入藏号 | 20182805539455 |
EI主题词 | Nonlinear feedback |
EI分类号 | 713 Electronic Circuits - 713.4 Pulse Circuits - 731 Automatic Control Principles and Applications - 731.1 Control Systems - 961 Systems Science |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/32480 |
专题 | 理学院 |
通讯作者 | Mobayen, Saleh |
作者单位 | 1.Univ Zanjan, Dept Elect Engn, Zanjan, Iran; 2.Lanzhou Univ Technol, Dept Phys, Lanzhou 730050, Gansu, Peoples R China |
推荐引用方式 GB/T 7714 | Mobayen, Saleh,Ma, Jun. Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay[J]. CHAOS SOLITONS & FRACTALS,2018,114:46-54. |
APA | Mobayen, Saleh,&Ma, Jun.(2018).Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay.CHAOS SOLITONS & FRACTALS,114,46-54. |
MLA | Mobayen, Saleh,et al."Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay".CHAOS SOLITONS & FRACTALS 114(2018):46-54. |
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