Recursive eigenstructure assignment in linear systems
作者:
M. M. HASSAN,
M. H. AMIN,
期刊:
International Journal of Control
(Taylor Available online 1987)
卷期:
Volume 45,
issue 1
页码: 291-310
ISSN:0020-7179
年代: 1987
DOI:10.1080/00207178708933729
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In Arbel and Rath (1985) an iterative eigenvalue assignment algorithm was presented. This algorithm has the shortcomings of clustering most of the closed-loop eigenvalues on the real axis. A general method is given here for recursive eigenstructure assignment in linear systems. The method eliminates the shortcomings of the algorithm of Arbel and Rath. It is shown that the right and left eigenvectors of the closed-loop system matrix can be determined in terms of those of a small-dimension matrixA*c. It is also shown that the results of Arbel and Tse (1980) are special cases of those of the proposed method. Moreover, the arbitrary parameters, beyond eigenvalue assignment, are shown to be embedded in the choice of a certain arbitrary invertible matrixS. Furthermore, computer-oriented steps are outlined for recursive eigenstructure assignment in large-scale systems. Numerical examples are worked out to illustrate the generality and feasibility of the proposed method.
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