| 广义分数阶Sprott-C混沌系统的有限时间滑模同步 |
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| 引用本文： | 闫丽宏.广义分数阶Sprott-C混沌系统的有限时间滑模同步[J].吉林大学学报(理学版),2002,57(4):940-946. |
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| 作者姓名： | 闫丽宏 |
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| 作者单位： | 咸阳师范学院 数学与信息科学学院, 陕西 咸阳 712000 |
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| 摘 要： | 利用分数阶有限时间稳定性理论, 通过构造合适的分数阶滑动模态超曲面, 设计一种含有有限时间控制作用的分数阶控制器, 以实现广义Sprott-C驱动 响应系统的滑模同步控制. 结合自适应控制策略, 利用参数更新律对未知参数和扰动上界进行准确估计, 并选取适当的控制和系统参数, 利用MATLAB数值仿真, 验证所得结果的正确性和有效性.
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| 关 键 词： | 有限时间稳定性理论 分数阶 滑模控制 参数估计 自适应控制 |
| 收稿时间： | 2018-04-17 |
Finite Time Sliding Mode Synchronization ofGeneralized Fractional Order Sprott-C Chaotic System#br# |
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| YAN Lihong.Finite Time Sliding Mode Synchronization ofGeneralized Fractional Order Sprott-C Chaotic System#br#[J].Journal of Jilin University: Sci Ed,2002,57(4):940-946. |
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| Authors: | YAN Lihong |
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| Institution: | College of Mathematics and Information Science, Xianyang Normal University, Xianyang 712000, Shaanxi Province, China
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| Abstract: | By using the fractional order finite time stability theory, and constructing a proper fractional order sliding mode hyper surface, a fractional order controller withfinite time control was designed to realize the sliding mode synchronization control of generalized drive response Sprott-C systems. Combined with adaptive control strategy, the unknown parameters and the upper bounds of disturbance were accurately estimated by using parameter update laws. The correctness and validity of the results were verified byMATLAB numerical simulation with appropriate control and system parameters. |
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| Keywords: | finite time stability theory fractional order sliding mode control parameter estimation adaptive control
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