Decoupling through input–output blending

Baár, Tamás and Luspay, Tamás (2020) Decoupling through input–output blending. INTERNATIONAL JOURNAL OF CONTROL. pp. 1-27. ISSN 0020-7179

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Abstract

The paper presents a novel decoupling method, based on blending the input and output signals of lineardynamical systems. For this purpose, blend vectors are introduced and calculated such that the mini-mum 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 byan 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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