MODEL ORDER REDUCTION VIA REAL SCHUR-FORM DECOMPOSITION

被引:47
作者
ALDHAHERI, RW
机构
[1] Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah, 21413
关键词
D O I
10.1080/00207179108953642
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A new algorithm is presented for computing Moore's reduced-order transfer-function matrix without calculating the balancing transformation, which tends to be ill-conditioned, especially when the original system is non-minimal or when it has very nearly uncontrollable or unobservable modes. The algorithm is based on finding the eigenspaces associated with large eigenvalues of the cross-gramian matrix W(co) using the real Schur-form decomposition. The algorithm does not require a minimal model to start with. The state-space realization obtained by this method is related to the balanced realization by a non-singular matrix. An example is presented to illustrate the proposed algorithm.
引用
收藏
页码:709 / 716
页数:8
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