| 含对数项分数阶T混沌系统的滑模同步 |
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| 引用本文： | 孟晓玲,毛北行.含对数项分数阶T混沌系统的滑模同步[J].山东大学学报(工学版),2021,50(5):7-12. |
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| 作者姓名： | 孟晓玲 毛北行 |
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| 作者单位： | 郑州航空工业管理学院数学学院, 河南 郑州 450046 |
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| 基金项目： | 国家自然科学青年基金资助项目(NSFC11501525) |
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| 摘 要： | 利用Barbalat引理、分数阶稳定性理论,通过构造合适的分数阶线性滑模面和分数阶比例积分滑模面,设计合理的控制器,实现整数阶、分数阶T混沌系统滑模同步控制。研究结果表明:一定条件下,分数阶T混沌系统的驱动-响应系统能够达到滑模同步,用Matlab数值仿真验证了结论的正确性。
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| 关 键 词： | 分数阶 T混沌系统 滑模同步 Barbalat引理 滑模面 |
Sliding mode synchronization of fractional-order T chaotic systems with logarithmic |
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| MENG Xiaoling,MAO Beixing.Sliding mode synchronization of fractional-order T chaotic systems with logarithmic[J].Journal of Shandong University of Technology,2021,50(5):7-12. |
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| Authors: | MENG Xiaoling MAO Beixing |
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| Affiliation: | College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, Henan, China |
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| Abstract: | By using the Barbalat lemma and fractional-order stability theory, and constructing proper fractional-order sliding mode surface and fractional-order proportion integral sliding mode surface, the controllers were designed to realize the synchronization control of integer model and fractional-order T chaotic systems. The research conclusion illustrated that the derive-responsive systems of fractional-order T chaotic systems could get sliding mode synchronization under certain conditions. MATLAB numerical simulation proved the correctness of the conclusions. |
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| Keywords: | fractional-order T chaotic system sliding mode synchronization Barbalat lemma sliding surface |
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