基于smc的参数完全未知的Lorenz系统和Chen系统的投影同步

Shijian Cang, Zengqiang Chen, Zenghui Wang, Yuchi Zhao
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引用次数: 0

摘要

本文提出了一种具有参数更新规律的自适应滑模控制器(SMC),用于实现参数完全未知的Lorenz系统和Chen系统的投影同步。投影同步包括完全同步和反相位同步。此外,基于Lyapunov稳定性理论证明了所提出的自适应SMC在不确定混沌系统中能保持滑模的存在性。最后,通过数值仿真验证了所提控制方法的有效性。
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SMC-based Projective Synchronization of Lorenz System and Chen System with Fully Unknown Parameters
In this paper, an adaptive sliding mode controller (SMC) with a parameter update law is developed to realize projective synchronization of the Lorenz system and the Chen system with fully unknown parameters. The projective synchronization includes complete synchronization and anti-phase synchronization. Moreover, it is proven that the proposed adaptive SMC can maintain the existence of sliding mode in uncertain chaotic systems based on Lyapunov stability theory. Finally, numerical simulations are presented to illustrate the effectiveness of the proposed control method.
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