| 基于窗口H∞范数的PID控制器优化设计 |
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| 引用本文： | 马国梁,陈庆伟,胡维礼.基于窗口H∞范数的PID控制器优化设计[J].自动化学报,2007,33(9):1000-1003. |
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| 作者姓名： | 马国梁 陈庆伟 胡维礼 |
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| 作者单位： | 1.南京航空航天大学自动化学院 南京 210016 |
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| 摘 要： | 针对有限频段提出了窗口 H∞ 范数的新概念, 然后给出了有限频段的界实定理及其对偶形式. 按照模型匹配原则, 将 PID 控制器的设计问题转化为窗口 H∞ 范数优化问题, 通过求解 LMI 得到 PID 控制器参数. 仿真结果验证了设计方法的有效性.
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| 关 键 词： | 窗口H∞范数 界实定理 模型匹配 PID控制器 |
| 收稿时间： | 2006-6-19 |
| 修稿时间： | 2006-06-192006-11-01 |
Optimal Design of PID Controller Based on Window H∞ Norm |
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| MA Guo-Liang,CHEN Qing-Wei,HU Wei-Li.Optimal Design of PID Controller Based on Window H∞ Norm[J].Acta Automatica Sinica,2007,33(9):1000-1003. |
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| Authors: | MA Guo-Liang CHEN Qing-Wei HU Wei-Li |
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| Affiliation: | 1.School of Automation, Nanjing University of Aeronautics and Astronautics, Nanjing 210016;2.Automation School, Nanjing University of Science and Technology, Nanjing 210094 |
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| Abstract: | A new conception of window H∞ norm for restricted frequency range is presented, and then the bounded real theorem and the dual version for restricted frequency range are given. The problem of PID controller design is converted into a window H∞ norm optimization problem according to model-matching principle, and the parameters of PID controller are obtained by solving LMI. Simulation result shows the effectiveness of the design method. |
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| Keywords: | Window H∞ norm bounded real theorem model-matching PID controller |
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