| 基于理想Bode传递函数的分数阶PID频域设计方法及其应用 |
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| 引用本文： | 聂卓赟,朱海燕,刘建聪,刘瑞娟,郑义民.基于理想Bode传递函数的分数阶PID频域设计方法及其应用[J].控制与决策,2019,34(10):2198-2202. |
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| 作者姓名： | 聂卓赟 朱海燕 刘建聪 刘瑞娟 郑义民 |
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| 作者单位： | 华侨大学信息科学与工程学院,福建厦门,361021;厦门理工学院应用数学学院,福建厦门,361024 |
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| 基金项目： | 国家自然科学基金项目(61403149)；福建省自然科学基金项目(2015J01261, 2016J05165)；华侨大学资助项目(ZQN-PY408, Z14Y0002). |
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| 摘 要： | 基于理想Bode传递函数,提出一种简便的分数阶PID控制器频域设计方法.采用传递函数模型匹配与辨识方法,将分数阶PID控制器5个参数的复杂设计问题转化为单个参数的一维搜索问题进行求解;结合短记忆法实现分数阶PID控制器数字化.该方法已成功应用于直流电机调速控制系统,能够达到期望的响应性能,具有强鲁棒性.实验结果验证了所提出设计方法的有效性.
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| 关 键 词： | 分数阶PID 理想Bode传递函数 模型匹配与辨识 直流电机 |
Fractional order PID controller design in frequency domain based on ideal Bode transfer function and its application |
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| NIE Zhuo-yun,ZHU Hai-yan,LIU Jian-cong,LIU Rui-juan and ZHENG Yi-min.Fractional order PID controller design in frequency domain based on ideal Bode transfer function and its application[J].Control and Decision,2019,34(10):2198-2202. |
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| Authors: | NIE Zhuo-yun ZHU Hai-yan LIU Jian-cong LIU Rui-juan and ZHENG Yi-min |
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| Affiliation: | School of Information Science and Engineering,National Huaqiao University,Xiamen361021,China,School of Information Science and Engineering,National Huaqiao University,Xiamen361021,China,School of Information Science and Engineering,National Huaqiao University,Xiamen361021,China,School of Applied Mathematics,Xiamen University of Technology,Xiamen361024,China and School of Information Science and Engineering,National Huaqiao University,Xiamen361021,China |
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| Abstract: | A simple fractional-order PID controller design method based on the ideal Bode transfer function is proposed in this paper. Model matching and identification are introduced, such that the design problem of the fractional-order PID controller, with five variables involved, is transformed into a simple one dimensional search problem. A short-memory method is used for the implementation of the fractional-order PID controller. The proposed design method is applied to the speed tuning of a DC motor with good performance and robustness. Experimental results are provided to illustrate the effectiveness and availability of the proposed method. |
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