Reduced order modelling and control of two-time-scale discrete systems†
作者:
R. G. PHILLIPS,
期刊:
International Journal of Control
(Taylor Available online 1980)
卷期:
Volume 31,
issue 4
页码: 765-780
ISSN:0020-7179
年代: 1980
DOI:10.1080/00207178008961081
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A class of linear shift-invariant discrete systems satisfying a two-time-scale property is defined and a model satisfying this property is given. A pair of explicitly invertible block diagonalizing transformations are used to obtain reduced order fast and slow models analogous to the continuous singularly perturbed case. A deadbeat approximation to the fast modes results in a reduced order slow model, and a ‘ boundary layer ’ error in the original fast states. For control law design, the dual nature of these block diagonalizing transformations allows partial or total eigenvalue placement for fast and/or slow modes based on feedback designs for the reduced order slow and fast models.
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