A combined approach for the identification of continuous non-linear systems

H. U. Voss; H. Rust; W. Horbelt; J. Timmer

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A combined approach for the identification of continuous non-linear systems

机译：一种识别连续非线性系统的组合方法

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摘要

The identification of a non-linear continuous output-only system from a time series is considered for the case that the functional form of the model is not known beforehand. To estimate both functions and parameters, a combination of non-parametric modelling based on non-linear regression and parametric modelling based on a multiple shooting algorithm is proposed. This strategy to determine non-linear differential equations is exemplified on experimental data from a chaotic circuit where an accurate reconstruction of the observed attractor is obtained.

机译：对于模型的功能形式事先未知的情况，可以考虑从时间序列中识别非线性连续输出系统。为了估计功能和参数，提出了基于非线性回归的非参数建模和基于多重射击算法的参数建模的组合。在来自混沌电路的实验数据上例举了这种确定非线性微分方程的策略，在该电路中获得了对观察到的吸引子的精确重建。

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来源
《International Journal of Adaptive Control and Signal Processing》 |2003年第5期|p.335-352|共18页
作者
H. U. Voss; H. Rust; W. Horbelt; J. Timmer;
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作者单位

Freiburg Center for Data Analysis and Modelling, Eckerstr. 1, 79104 Freiburg, Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
原文格式 PDF
正文语种 eng
中图分类电工技术;
关键词
non-parametric identification; parameter estimation; non-linear circuits;

机译：非参数辨识;参数估计;非线性电路;

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A combined approach for the identification of continuous non-linear systems

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