| 一类非线性系统状态观测器的构造 |
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| 引用本文： | 张敏,谭向杰,叶笑洋.一类非线性系统状态观测器的构造[J].湖南科技大学学报(自然科学版),2002,17(2):62-64. |
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| 作者姓名： | 张敏 谭向杰 叶笑洋 |
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| 作者单位： | 1. 湘潭工学院,信息与电气工程系,湖南,湘潭,411201
2. 湖南惠杰科技有限公司,湖南,长沙,410007 |
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| 摘 要： | 讨论了一类非线性系统观测器的构造方法 .对仿射非线性系统观测器的条件进行了讨论 ,给出了必要的假设 ,得到与原系统微分同胚的系统 (简称同胚系统 ) ,并保持仿射性不变 .对同胚系统观测器给出了适当定义 ,它表现为一个模型系统 ,并根据其输出与同胚系统输出间的误差进行修正 .给出并论证了同胚系统状态观测器的构造方法 ,其关键是选择与模型系统和同胚系统间输出误差有关的增益矩阵 .对原系统 ,只要寻求与同胚系统间的一个适当变换 ,即可实现原系统的状态观测器 .参 6 .
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| 关 键 词： | 非线性系统 观测器 构造 |
| 文章编号： | 1000-9930(2002)02-0062-03 |
| 修稿时间： | 2001年3月2日 |
A construction of state observer for a class of nonlinear systems |
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| ZHANG Min ,TAN Xiang-jie ,YE Xiao-yang.A construction of state observer for a class of nonlinear systems[J].Journal of Hunan University of Science & Technology(Natural Science Editon),2002,17(2):62-64. |
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| Authors: | ZHANG Min TAN Xiang-jie YE Xiao-yang |
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| Institution: | ZHANG Min 1,TAN Xiang-jie 2,YE Xiao-yang 1 |
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| Abstract: | The construction of the state observer for a class of nonlinear systems is discussed.The conditions of the observer for affine nonlinear systems are studied and necessary assumptions are given.The differential homoeomorphic systems, which holds affinity, is obtained. The proper definition of the observer for homoeomorphic systems is given, which behaves as a model system that is adjusted according to the error between outputs of it and the homoeomorphic systems. The construction approach of the state observer for the homoeomorphic systems is given, which key is the selection of gain matrix related with the error of outputs of the model and the homoeomorphic systems. As long as the proper transformation from homoeomorphic to original system is found out, the observer for original system is realized.6refs. |
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| Keywords: | nonlinear system observer construction |
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