| 具有外扰和不确定项的分数阶非线性混沌系统的自适应滑模同步 |
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| 引用本文： | 毛北行,王东晓.具有外扰和不确定项的分数阶非线性混沌系统的自适应滑模同步[J].吉林大学学报(理学版),2020,58(5):1237-1242. |
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| 作者姓名： | 毛北行 王东晓 |
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| 作者单位： | 郑州航空工业管理学院 数学学院, 郑州 450015 |
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| 基金项目： | 青年骨干教师项目;航空科学基金;河南省高校重点基础研究专项基金;国家自然科学基金 |
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| 摘 要： | 研究非线性分数阶混沌系统的自适应滑模同步, 同时考虑外扰和不确定项的影响, 给出滑模函数和控制器的构造及自适应规则, 得到分数阶非线性混沌系统自适应滑模同步的充分条件, 将相同阶的相关结论推广到不同阶情形, 并用MATLAB数值仿真检验结论的正确性.
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| 关 键 词： | 分数阶 非线性 滑模 同步 |
| 收稿时间： | 2020-03-20 |
Self-adaptive Sliding Mode Synchronization of Fractional-Order Nonlinear Chaotic Systems with Outer Disturbances and Uncertainty |
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| MAO Beixing,WANG Dongxiao.Self-adaptive Sliding Mode Synchronization of Fractional-Order Nonlinear Chaotic Systems with Outer Disturbances and Uncertainty[J].Journal of Jilin University: Sci Ed,2020,58(5):1237-1242. |
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| Authors: | MAO Beixing WANG Dongxiao |
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| Institution: | College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, China |
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| Abstract: | We studied self-adaptive sliding mode synchronization of fractional-order nonlinear chaotic system, and considered the outer disturbances and uncertainty. We gave the construction and self-adaptive rules of sliding mode functions and controllers, and obtained the sufficient conditions for self-adaptive sliding mode synchronization of fractional-order nonlinear chaotic systems. The conclusions of the same order were extended to different cases, and the correctness of the conclusions was verified by using MATLAB numerical simulations. |
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| Keywords: | fractional-order nonlinear sliding mode synchronization |
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