Sequential eigenstructure assignment with minimal state‐feedback gain†
作者:
Jin‐Jye Lin,
Hung‐Yuan Chung,
期刊:
Journal of the Chinese Institute of Engineers
(Taylor Available online 1999)
卷期:
Volume 22,
issue 2
页码: 149-157
ISSN:0253-3839
年代: 1999
DOI:10.1080/02533839.1999.9670452
出版商: Taylor & Francis Group
关键词: Sequential eigenstructure assignment;parametric state‐feedback controller;spectrum‐invariant free parameters
数据来源: Taylor
摘要:
This paper proposes a practical and sequential eigenstructure assignment method for designing a parametric state‐feedback controller in multi‐input linear time‐invariant systems. This approach, which sequentially shifts a prescribed set of self ‐conjugate multiple eigenvalues to the closed‐loop system, can explicitly parameterize in groups, and is very useful.Spectrum‐invariant free parametersare proposed to simultaneously deal with two problems: (i) assigning the desired correspondingeigenvectors and generalized eigenvectorswithin an admissible class, and (ii) minimizing theFrobenius normof the resulting controller gain. The shifting of the uncontrollable mode is discussed in some detail. A scheme for determining the minimum Frobenious norm of the resultant state‐feedback matrix gain is developed. Finally, a numerical example is used for illustration of the proposed method.
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