Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity
Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity
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DOI：
10.1016/j.cnsns.2009.04.005
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发表时间：
2010-02
影响因子：
3.9
通讯作者：
H. Kebriaei;M. Yazdanpanah
中科院分区：
文献类型：
--
作者：
H. Kebriaei;M. Yazdanpanah
本文设计了一种自适应控制器，保证了两个输入非线性混沌系统的鲁棒同步。为此，定义了一个稳定的滑模面，并设计了一个自适应滑模控制器，以实现系统的鲁棒同步时，控制输入的影响，通过由执行器或外部不确定性资源产生的非线性。自适应律保证了未知模型不确定性的同步假设。此外，通过在控制律中加入积分器和饱和函数，避免了符号函数引起的抖振现象。蔡氏电路和Genesio系统的同步仿真结果表明了该方法的有效性。
In this paper, an adaptive controller is designed to ensure robust synchronization of two different chaotic systems with input nonlinearities. For this purpose, a stable sliding surface is defined and an adaptive sliding mode controller is designed to achieve robust synchronization of the systems when the control input is influenced through nonlinearities produced by actuator or external uncertainty recourses. The adaptation law guarantees the synchronization assuming of unknown model uncertainty. Furthermore by adding an integrator and incorporating a saturation function in the control law, the chattering phenomenon caused by the sign function is avoided. The simulation results for synchronization of Chua’s circuit and Genesio systems show the efficiency of the proposed technique.