| 不同维分数阶混沌预设时间有限时间投影同步 |
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| 引用本文：邵克勇，蒋卢杰，王婷婷.不同维分数阶混沌预设时间有限时间投影同步[J].计算技术与自动化,2022,(1):28-33 |
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| 中文摘要:对于不同维分数阶混沌系统的投影同步问题，设计了一种自适应滑模控制器。这使得带有内部不确定量和外部扰动的驱动，响应系统能够在任意预设的时间完成同步，自适应律可以逼近未知量的上界。 并针对自适应滑模控制器由于干扰产生抖振的问题，提出了两种解决方案。首先是设计二维滑模控制表，将模糊控制方法加入滑模控制器组成模糊自适应滑模控制器。其次是使用“Super-Twisting”控制律，将滑模控制改进为二阶滑模控制。最后通过数值仿真，可以看到两种解决方案都有效地削减了控制器的抖振现象，证明了方法有效性和正确性，提高了用于实际生产的可行性。 |
| 中文关键词:模糊自适应滑模控制 二阶滑模控制 有限时间同步 分数阶混沌系统 Super-Twisting算法 |
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| Finite-time Projection Synchronization of Different Dimensionality Fractional Chaos at the Preset Time |
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| Abstract::For the projective synchronization of fractional-order chaotic systems with different dimensions, an adaptive sliding mode controller is designed. The drive and response system with internal uncertainty and external disturbance can be synchronized at any preset time, and the adaptive law can approach the upper bound of the unknown. Two solutions are proposed for the chattering problem of adaptive sliding mode controller due to interference. The first is to design a two-dimensional sliding mode control table, and add the fuzzy control method to the sliding mode controller to form a fuzzy adaptive sliding mode controller. The second is to use the "Super-Twisting" control law to improve sliding mode control to second-order sliding mode control.Finally, through numerical simulation, it can be seen that the two solutions have effectively reduced the chattering phenomenon of the controller, proved the effectiveness and correctness of the method, and improved the feasibility of being used in actual production. |
| keywords:fuzzy adaptive sliding mode control second-order sliding mode control finite time synchronization fractional-order chaotic system Super-Twisting algorithm |
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