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混沌系统的固定时间周期半间歇模糊同步控制

Fixed-time Fuzzy Synchronization of Chaos via Periodically Semi-intermittent Control Method

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【作者】 闫丽宏周梓晶张娜关忠盟李旭丹

【Author】 YAN Lihong;ZHOU Zijing;ZHANG Na;GUAN Zhongmeng;LI Xudan;School of Mathematics and Statistics, Xianyang Normal University;

【机构】 咸阳师范学院数学与统计学院

【摘要】 针对有限时间同步控制的停息时间依赖非线性系统初始条件的不足,结合T-S模糊理论,利用半间歇同步控制方法,研究了一类驱动-响应混沌系统实现固定时间同步的问题。理论分析中,基于微分方程的固定时间稳定性理论,设计了相应的控制器,通过构造Lyapunov函数,利用不等式关系,证明了不确定驱动-响应混沌系统实现固定时间同步的结论。并选用不同控制参数,经过数值算例仿真,验证了所给同步控制算法的可操作性。

【Abstract】 In response to the shortcoming that settling time for nonlinear dynamical systems depends seriously on the initial values, the problem of fixed-time synchronization for a class of drive-response chaotic systems was investigated by combining T-S fuzzy theory and using a semi-intermittent synchronization control method. In the part of theoretical analysis, the corresponding controller was designed based on the fixed-time stability theory of differential equations. By constructing a Lyapunov function and employing inequality techniques, the conclusion that the given drive-response chaotic systems can achieve fixed-time synchronization was proved. Additionally, numerical simulations with different control coefficients selected are presented to verify the feasibility of the proposed synchronization control algorithm.

【基金】 咸阳市自然科学研究计划项目(L2023-ZDYF-SF-024);国家级大学生创新创业训练计划项目(202410722018);咸阳师范学院科研基金项目(XSYK20023)
  • 【文献出处】 咸阳师范学院学报 ,Journal of Xianyang Normal University , 编辑部邮箱 ,2024年06期
  • 【分类号】O415.5;TP273
  • 【下载频次】26
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