Synchronization of Chaotic Systems Using Time-Delayed Fuzzy State-Feedback Controller
Synchronization of Chaotic Systems Using Time-Delayed Fuzzy State-Feedback Controller
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DOI：
10.1109/tcsi.2008.916430
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发表时间：
2008-05
期刊：
影响因子：
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通讯作者：
H. Lam;B. Ling;H. Iu;S. Ling
中科院分区：
文献类型：
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作者：
H. Lam;B. Ling;H. Iu;S. Ling
提出了一种基于模糊模型的控制方法，实现了两个具有参数不确定性的混沌系统的同步。利用响应混沌系统的系统状态和驱动混沌系统的时滞系统状态，设计模糊状态反馈控制器，实现混沌系统的同步。时滞使系统动力学复杂化，给分析带来困难。为了研究混沌系统的稳定性和便于模糊控制器的设计，采用T-S模糊模型来描述混沌系统的动力学行为。此外，由于参数不确定性的存在，使得T-S模糊模型的隶属度变得不确定，从而使系统分析更加复杂。为了简化稳定性分析，并产生较少的保守性分析结果，T-S模糊模型和模糊控制器的隶属函数被认为是。利用基于李雅普诺夫的方法推导出混沌系统的稳定性条件，并设计模糊状态反馈控制器来实现混沌系统的同步。仿真例子来说明所提出的方法的优点。
This paper presents the fuzzy-model-based control approach to synchronize two chaotic systems subject to parameter uncertainties. A fuzzy state-feedback controller using the system state of response chaotic system and the time-delayed system state of drive chaotic system is employed to realize the synchronization. The time delay which complicates the system dynamics makes the analysis difficult. To investigate the system stability and facilitate the design of fuzzy controller, Takagi-Sugeno (T-S) fuzzy models are employed to represent the system dynamics of the chaotic systems. Furthermore, the membership grades of the T-S fuzzy models become uncertain due to the existence of parameter uncertainties which further complicates the system analysis. To ease the stability analysis and produce less conservative analysis result, the membership functions of both T-S fuzzy models and fuzzy controller are considered. Stability conditions are derived using Lyapunov-based approach to aid the design of fuzzy state-feedback controller to synchronize the chaotic systems. Simulation examples are presented to illustrate the merits of the proposed approach.