(M, N)-approximation: a system simplification method

A method is presented for the simplification of systems made up of N interacting subsystems, by approximating only M of the N subsystems. It is proposed to reduce each of the M subsystems while all interactions are active, and to preserve the identities of all subsystems in the overall approximation...

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Bibliographic Details
Published in:International journal of control 1988-11, Vol.48 (5), p.1851-1865
Main Authors: YOUSUFF, AJMAL, MCQUADE, TIMOTHY E., BANDA, SIVAS S.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Large scale systems
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Summary:A method is presented for the simplification of systems made up of N interacting subsystems, by approximating only M of the N subsystems. It is proposed to reduce each of the M subsystems while all interactions are active, and to preserve the identities of all subsystems in the overall approximation, as demanded in many situations. Problems of conventional model reduction, controller or compensator reduction, reduction of finite element models, reduction of decentralized controllers, etc., can be treated as specific applications of this method. As an application to controller reduction, a new version of balanced controllers is shown to be generated by this method. A numerical example is included that compares the new method with other existing balancing methods, and the results are shown to be in favour of the new method.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207178808906292