Unified approach to H∞-optimization, Hankel approximation and balanced realization problems
作者:
FANG-BO YEH,
C. D. YANG,
M. C. TSAI,
期刊:
International Journal of Control
(Taylor Available online 1988)
卷期:
Volume 47,
issue 4
页码: 967-978
ISSN:0020-7179
年代: 1988
DOI:10.1080/00207178808906069
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A unified approach is proposed here to solve three problems simultaneously, namely H ∞ -optimization, Hankel approximation and minimal balanced realization for scalar systems. It is shown that all these problems can be reduced to the same standard form wherein merely the singular-value decomposition (SVD) of an easily constructed square matrix is required to establish the final solutions. The formulation is solely in terms of the coefficients of a transfer function and the resulting algorithm can be performed in a very computationally efficient way.
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