Derivation of weighting matrices towards satisfying eigenvalue requirements
作者:
D. GBAUPE,
期刊:
International Journal of Control
(Taylor Available online 1972)
卷期:
Volume 16,
issue 5
页码: 881-888
ISSN:0020-7179
年代: 1972
DOI:10.1080/00207177208932318
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The present work is concerned with the problem of designing appropriate weighting matrices for the performance index of the linear regulator optimization problem, guch that the resulting optimal policy satisfies given eigenvalue requirements. The text provides an algorithm for deriving a diagonal state-weighting matrix according to these eigenvalue requirements, the latter often being better defined than the requirements for the stato-weighting matrix. The solution given employs matrix differential calculus and a static gradient minimization sub-routine to minimize an eigenvalue error criterion, thus facilitating optimal control within desired eigenvalue requirements.
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