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SVD Algorithm in the Application of the MIMO System Model Order Reduction(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2017年02期
Page:
50-54
Research Field:
测控技术与通信工程
Publishing date:

Info

Title:
SVD Algorithm in the Application of the MIMO System Model Order Reduction
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)
Keywords:
Keywords:linear time invariant systemmodel order reductionbalanced transformation
PACS:
-
DOI:
10.15938/j.jhust.2017.02.010
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.

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Last Update: 2017-06-12