| 基于同伦不动点的控制系统极点配置 |
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| 引用本文： | 孙亮, 于建均, 陈梅莲. 基于同伦不动点的控制系统极点配置[J]. 北京工业大学学报, 2006, 32(5): 400-404. |
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| 作者姓名： | 孙亮 于建均 陈梅莲 |
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| 作者单位： | 1.北京工业大学 电子信息与控制工程学院, 北京 100022 |
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| 基金项目： | 北京市教育委员会科技发展计划项目(KM200510005206)． |
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| 摘 要： | 为了解决控制器设计中的系统闭环极点配置问题,在多项式同伦映射与其零点映射轨线的基础上,定义了同伦映射不动点,导出并证明了基于同伦不动点的控制系统闭环极点配置方法,该方法在系统闭环极点的意义上与原极点配置定理等价.
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| 关 键 词： | 同伦映射 不动点 极点配置定理 |
| 文章编号： | 0254-0037(2006)05-0400-05 |
| 收稿时间： | 2005-07-11 |
| 修稿时间： | 2005-07-11 |
Control System Pole Disposition Based on Homotopic Fixed Point |
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| SUN Liang, YU Jian-jun, CHEN Mei-lian. Control System Pole Disposition Based on Homotopic Fixed Point[J]. Journal of Beijing University of Technology, 2006, 32(5): 400-404. |
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| Authors: | SUN Liang YU Jian-jun CHEN Mei-lian |
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| Affiliation: | 1.College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing, 100022, China |
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| Abstract: | In order to solve the problem of pole disposition in controller designing with closed loop system, based on polynomial homotopic mapping and the corresponding zero loci, this article gave the definition of the homotopic fixed point, deducted and proved a pole disposition method based on the homotopic fixed point, which was equivalent to the pole disposition theorem original in the means of closed loop poles. The conclusion of the study can be applied in control system compensating design by root locus method effectively. |
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| Keywords: | homotopic mapping fixed point pole disposition |
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