Approximation of cascade connected and feedback structured systems by Mullis-Roberts approximation
作者:
TSUTOMU NOHARA,
SHIGEYUKI HOSOE,
MASAMI ITO,
期刊:
International Journal of Systems Science
(Taylor Available online 1989)
卷期:
Volume 20,
issue 9
页码: 1611-1625
ISSN:0020-7721
年代: 1989
DOI:10.1080/00207728908910246
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A method for constructing a reduced-order model retaining the internal structure of original high-order cascade connected and feedback structured systems is derived by the Mullis-Roberts algorithm. The reduced-order model obtained here is the optimal approximation in the sense that it minimizes the curvilinear integral of the squared norm of an approximation error at the unit circle of the 2-plane. The algorithm for obtaining the reduced-order models is described. One feature of the proposed algorithm is that it is possible to compute reduced-order models of each subsystem independently. The stability of the reduced-order model is not always guaranteed. However, the results of numerical computations show that the reduced-order systems remain stable for almost all randomly selected examples and approximate the input-output behaviour of original systems fairly well.
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