[1]闰哲卢方明周林.SVD算法在MIMO系统模型降阶中的应用[J].哈尔滨理工大学学报,2017,(02):50-54.[doi:10.15938/j.jhust.2017.02.010]
 YAN ZheLU FanR--minR-,ZHO U Lin.SVD Algorithm in the Application of the MIMOSystem Model Order Reduction[J].哈尔滨理工大学学报,2017,(02):50-54.[doi:10.15938/j.jhust.2017.02.010]
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SVD算法在MIMO系统模型降阶中的应用()
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《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

卷:
期数:
2017年02期
页码:
50-54
栏目:
测控技术与通信工程
出版日期:
2017-04-25

文章信息/Info

Title:
SVD Algorithm in the Application of the MIMO System Model Order Reduction
文章编号:
1007-2683(2017)02-0050-05
作者:
闰哲 卢方明 周林
(哈尔滨理工大学自动化学院,黑龙江哈尔滨isooso>
Author(s):
YAN Zhe LU FanR--minR-ZHO U Lin
(School of Automation 日arhin I」 nicarsitv of S}ian}a and’feclmolo}y, llarbin 150080,China)
关键词:
关键词:线性时不变系统模型降阶Hankel奇异值
Keywords:
Keywords:linear time invariant systemmodel order reductionbalanced transformation
DOI:
10.15938/j.jhust.2017.02.010
文献标志码:
A
摘要:
摘要:针对线性时不变高阶MIMO系统模型难以直接进行计算分析的问题,对高阶模型进行 模型降阶。依据模型降阶理论,对线性时不变系统进行Lyapunov方程求解,得到线性系统的完全 可控Gramians矩阵和完全可观Gramians矩阵,对Gramians矩阵进行Cholesky分解,得到Cholesky 分解因子,分解因子通过SVD (singular value decomposition)法求得Hankel奇异值,从而确定系统的 平衡变换阵。计算可控可观Gramians矩阵的左右特征空间基底矩阵,利用左右特征空间的基底矩 阵求得原系统降阶的系统,通过Hankel SVD方法确定降阶之后的误差范围。利用Matlah对SLI- COT测试库中的便携式CDPlayer 120阶的高阶模型进行降阶,获取到50 ,30 ,20阶的降阶模型,对 研究算法进行验证,结果表明,降阶效果理想。
Abstract:
Abstract:For linear time invariant high-order system calculation and analysis model is difficult to directly,so we need to study on reduction of the model According to the basic theory of model order reduction Lyapunov equation model order solution to linear time invariant system completely controllable Gramians matrix considerable considerable decomposition balance of the 丘ature space reduced-order Gramians Gramians by SVD m月tryX completely are ohtained for a linear system,the completely controllable and and matrix Cholesky decomposition, the Cholesky decomposition factor (singular value decomposition)method for Hankel singular value are gmen system which is transformation matrix. The reduced order system is given by based matrix obtained by the controllable and considerable Gramians matrix. The error and the factor to determine the of left and right bound for several models 月re computed by using the method of Hankel SVD. In order to obtain the several reduce-order models,using Mtalb to turn CDPlyer high-order model that stored in SLICOT test library to a low-order system. The results show that the above order reduction method is feasible.

备注/Memo

备注/Memo:
收稿日期: 基金项目: 作者简介: 通信作者: 2015一11一09 黑龙江省自然利一学基金(1’201307 ) . 卢方明(1993-),男,硕士研究生; 周林(1989-) ,男,硕士研究生. 同哲(1962-),男,博士,教授,硕士研究生导师,L,-mail;yanzlielirbC 163
更新日期/Last Update: 2017-06-12