咸阳师范学院学报2024,Vol.39Issue(6) :1-6.

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

闫丽宏 周梓晶 张娜 关忠盟 李旭丹
咸阳师范学院学报2024,Vol.39Issue(6) :1-6.

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

闫丽宏 1周梓晶 1张娜 1关忠盟 1李旭丹1
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作者信息

  • 1. 咸阳师范学院 数学与统计学院,陕西 咸阳 712000
  • 折叠

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 de-pends seriously on the initial values,the problem of fixed-time synchronization for a class of drive-re-sponse 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 de-signed 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 sys-tems can achieve fixed-time synchronization was proved.Additionally,numerical simulations with dif-ferent control coefficients selected are presented to verify the feasibility of the proposed synchroniza-tion control algorithm.

关键词

固定时间同步/混沌/T-S模糊/间歇控制

Key words

fixed-time synchronization/chaos/T-S fuzzy/intermittent control

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出版年

2024
咸阳师范学院学报
咸阳师范学院

咸阳师范学院学报

CHSSCD
影响因子:0.137
ISSN:1672-2914
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