Finite-time sliding mode synchronization control of chaotic systems

doi:10.3778/j.issn.1002-8331.1512-0088

Abstract

Abstract: A sliding mode control method is presented for investigating chaos synchronization between two different chaotic systems with uncertainties and external disturbances. Based on Lyapunov stability theory and finite-time sliding mode control technique, a terminal sliding mode controller is designed to realize chaos synchronization. A new nonsingular terminal sliding mode surface is introduced and it can convergence to the zero equilibrium in finite-time. Finally, simulation results show the effectiveness of the proposed scheme.

Key words: sliding mode control, finite-time control, chaos synchronization, Lyapunov stability theory

摘要： 采用滑模控制的方法，研究了两个不同的带有不确定性和外部扰动的混沌系统之间的同步问题。基于Lyapunov稳定性理论和有限时间滑模控制方法，设计了终端滑模控制器来实现两个混沌系统的同步。在设计控制器过程中提出了一个新的非奇异的终端滑模面，并证明它能在有限时间内收敛于零平衡点。通过数值仿真验证了所设计的控制器的有效性。

关键词: 滑模控制, 有限时间控制, 混沌同步, 李雅普诺夫稳定性理论

GAO Junshan, YU Shimeng, SONG Ge. Finite-time sliding mode synchronization control of chaotic systems[J]. Computer Engineering and Applications, 2017, 53(10): 43-47.

高俊山，于世萌，宋歌. 混沌系统的有限时间滑模同步控制[J]. 计算机工程与应用, 2017, 53(10): 43-47.

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Finite-time sliding mode synchronization control of chaotic systems

混沌系统的有限时间滑模同步控制

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