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Reduced-order modeling of LPV systems in the Loewner framework (2104.10767v1)

Published 21 Apr 2021 in eess.SY, cs.NA, cs.SY, and math.NA

Abstract: We propose a model reduction method for LPV systems. We consider LPV state-space representations with an affine dependence on the scheduling variables. The main idea behind the proposed method is to compute the reduced order model in such a manner that its frequency domain transfer function coincides with that of the original model for some frequencies. The proposed method uses Loewner-like matrices, which can be calculated from the frequency domain representation of the system. The contribution of the paper represents an extension of the well-established Loewner framework to LPV models.

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