Decoupling through input-output blending

The paper presents a novel decoupling method, based on blending the input and output signals of linear dynamical systems. For this purpose, blend vectors are introduced and calculated such that the minimum sensitivity of the controlled mode is maximised, while the worst case gain of the other subsys...

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Bibliographic Details
Published inInternational journal of control Vol. 94; no. 12; pp. 3491 - 3505
Main Authors Baár, Tamás, Luspay, Tamás
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.12.2021
Taylor & Francis Ltd
Subjects
Blending
Decoupling
Decoupling method
Linear matrix inequalities
linear matrix inequality
Mathematical analysis
minimum sensitivity
mode control
Optimization
Subsystems
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Summary:The paper presents a novel decoupling method, based on blending the input and output signals of linear dynamical systems. For this purpose, blend vectors are introduced and calculated such that the minimum sensitivity of the controlled mode is maximised, while the worst case gain of the other subsystems is minimised from the blended input to the blended output. The problem is transformed to a standard optimisation program subject to Linear Matrix Inequality constraints. An arising rank constraint is resolved by an alternating projection scheme. The method is presented based on the decoupling of a single mode, but the extension to decouple multiple modes is also discussed. Numerical examples are given to validate the method and to illustrate how the proposed approach can be applied for control engineering problems.
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content type line 14
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2020.1773540