Sequential eigenstructure assignment with maximal stability robustness
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: 203-210
ISSN:0253-3839
年代: 1999
DOI:10.1080/02533839.1999.9670457
出版商: Taylor & Francis Group
关键词: sequential eigenstructure assignment;maximal stability robustness;spectrum‐invariant free parameters
数据来源: Taylor
摘要:
The maximal stability robustness problem for a linear, time‐invariant, multi‐input system's state equations involves the design of a state‐feedback gain controller which simultaneously achieves eigenvalue assignment and maximal stability robustness. In this paper, we propose a practicalsequential eigenstructure assignmentscheme for designing a parametric state‐feedback gain matrix, which sequentially shifts a prescribed set of self‐conjugate multiple eigenvalues to the closed‐loop system in groups. Thespectrum‐invariant free parametersare parameterized explicitly in terms of the extra degrees of freedom offered by the state‐feedback controller matrix beyond eigenvalue shifting, and can be exploited to maximize the largest spectral norm of an additive uncertainty in the closed‐loop system matrix, so that stability is guaranteed. A numerical example of the design method is illustrated.
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