二阶系统中模型降阶方法的研究

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (9): 2215-2218.

二阶系统中模型降阶方法的研究

史建亮^1,2, 任戈¹

1. 中国科学院光电技术研究所, 四川, 成都, 610209;
2. 中国科学院研究生院, 北京, 100049

收稿日期:2008-07-30 修回日期:2009-04-28 出版日期:2009-09-20 发布日期:2010-01-03
作者简介:史建亮(1979- ),男,博士研究生,主要研究方向为光机系统的集成与仿真技术.E-mail:zff2003.student@sina.com
基金资助:
国家高技术研究发展计划(863计划)(A08k021)资助课题

Study on model order reduction method in second order system

SHI Jian-liang^1,2, REN Ge¹

1. The Inst. of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
2. Graduate Univ. of Chinese Academy of Sciences, Beijing 100049, China

Received:2008-07-30 Revised:2009-04-28 Online:2009-09-20 Published:2010-01-03

摘要/Abstract

摘要： 在对模型数据转换研究的基础上,分析了应用于模型简化的一阶降阶方法,提出了一种应用于二阶系统模型简化的二阶降阶方法。通过实例分析,证明了该方法的可行性,进一步验证了该方法在高频段和低频段都保持了较高的精度。实验结果表明,在频率达到100 Hz时,相对误差仅为1.18%。同时,使用该方法还保留了二阶系统所固有的一些性质。

Abstract: In the prophase of simulation,the main tasks are the data transform and the model reduction.On the basis of the study on data transform,the analysis of the first reduced order method applied in model reduction is given.And the second reduced order method is put forward,which is mainly used in the second order system.By analyzing an example,the utility of this method is proved,furthermore,this method keeps high precision both in low frequency and in high frequency.The results indicate that when the frequency reaches 100 Hz,the relative error is only 1.18%.At the same time,this method keeps some inherent properties of the second order system.

中图分类号:

TN941.1

史建亮, 任戈. 二阶系统中模型降阶方法的研究[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2215-2218.

SHI Jian-liang, REN Ge. Study on model order reduction method in second order system[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2215-2218.