| 基于坐标变换和仿射映射辨识迟滞非线性模型 |
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| 引用本文： | 赵彤,谭永红.基于坐标变换和仿射映射辨识迟滞非线性模型[J].控制工程,2004(Z2). |
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| 作者姓名： | 赵彤 谭永红 |
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| 作者单位： | 上海交通大学电子信息学院 上海200030
(赵彤)，桂林电子工业学院智能系统与工业控制研究室 广西桂林541004(谭永红) |
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| 基金项目： | 国家自然科学基金资助项目(50265001)
广西自然科学基金资助项目(0339068)。 |
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| 摘 要： | 运用坐标变换方法和仿射映射的有关原理,对迟滞系统的输入信号进行变换映射。利用集合理论证明了变换后,迟滞的输入输出集合是双射的,从而对在光滑周期信号作用下的一类迟滞非线性进行建模。不仅建立了动态迟滞模型,而且也建立了相应的动态逆模型。仿真试验验证了所提出方法的有效性。
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| 关 键 词： | 坐标变换 仿射映射 迟滞非线性 动态模型 |
Identification for a Class of Hysteretic Non-lineer Model Based on Coordinate Transformation and Affine Mapping |
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| ZHAO Tong,TAN Yong-hong.Identification for a Class of Hysteretic Non-lineer Model Based on Coordinate Transformation and Affine Mapping[J].Control Engineering of China,2004(Z2). |
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| Authors: | ZHAO Tong TAN Yong-hong |
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| Abstract: | The coordinate transformation method is used to realize the mapping between the input set and the output set of the hysteresis. The mapping between input and output sets can be proved to be bijective with the set theory. Then, the affine mapping theory is applied to modeling a class of hysteresis, which is stimulated by smooth periodic signals. Both the hysteresis and its inverse dynamic model can be constructed with the proposed method . Simulation result shows the effectiveness of the method. |
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| Keywords: | coordinate transfonnation affine mapping hysteresis nonlinearity dynamic model |
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