Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique
Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique
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DOI：
10.1016/j.apm.2010.12.020
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发表时间：
2011-06-01
影响因子：
5
通讯作者：
Alizadeh, Ghassem
中科院分区：
文献类型：
--
作者：
Aghababa, Mohammad Pourmahmood;Khanmohammadi, Sohrab;Alizadeh, Ghassem
本文研究了参数完全未知的两个不同混沌系统之间的有限时间混沌同步问题。首先，引入了一种新的非奇异终端滑动面，并证明了其有限时间收敛于零平衡点。然后，针对系统的未知参数，推导出适当的自适应律。然后，基于自适应律和有限时间控制思想，提出了一种自适应滑模控制器，以保证在给定的有限时间内滑移运动的发生。从数学上证明了所提出的滑模技术在到达和滑模两个阶段都具有有限时间的收敛和稳定性。最后，通过数值仿真验证了该方法的适用性和有效性。(C)2010 Elsevier Inc.保留所有权利。
In this paper, the problem of finite-time chaos synchronization between two different chaotic systems with fully unknown parameters is investigated. First, a new nonsingular terminal sliding surface is introduced and its finite-time convergence to the zero equilibrium is proved. Then, appropriate adaptive laws are derived to tackle the unknown parameters of the systems. Afterwards, based on the adaptive laws and finite-time control idea, an adaptive sliding mode controller is proposed to ensure the occurrence of the sliding motion in a given finite time. It is mathematically proved that the introduced sliding mode technique has finite-time convergence and stability in both reaching and sliding mode phases. Finally, some numerical simulations are presented to demonstrate the applicability and effectiveness of the proposed technique. (C) 2010 Elsevier Inc. All rights reserved.