z域辨识的脉冲响应匹配及其在模型降阶中的应用

IF 2 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods Pub Date : 2007-10-29 DOI:10.1002/OCA.4660090209

David F. Miller

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引用次数: 0

摘要

本文提出了一种确定的时域z域模型识别方法。指定阶的离散传递函数模型的系数是通过将模型的脉冲响应与观测系统的脉冲响应相匹配来确定的。有趣的是，结果的专门识别方程与使用回归模型的传统最小二乘理论一致，从而提供了确定性和随机理论之间的联系。将该方法应用于离散线性系统的模型约简问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Impulse response matching for z-Domain identification with application to model order reduction

This paper presents a deterministic time-domain approach to z-domain model identification. Coefficients for a discrete transfer function model of specified order are determined by matching the model's impulse response to that of an observed system. Interestingly, the specialized identification equations that result coincide with those from the conventional least-squares theory using regression models and thus provide a link between the deterministic and stochastic theories. The technique is applied to the model reduction problem for discrete linear systems.

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来源期刊

Optimal Control Applications & Methods 工程技术-应用数学

CiteScore

3.90

自引率

11.10%

发文量

108

审稿时长

3 months

期刊介绍： Optimal Control Applications & Methods provides a forum for papers on the full range of optimal and optimization based control theory and related control design methods. The aim is to encourage new developments in control theory and design methodologies that will lead to real advances in control applications. Papers are also encouraged on the development, comparison and testing of computational algorithms for solving optimal control and optimization problems. The scope also includes papers on optimal estimation and filtering methods which have control related applications. Finally, it will provide a focus for interesting optimal control design studies and report real applications experience covering problems in implementation and robustness.