A moment matching-based loop shaping design with closed-loop pole placement

T.C. Ionescu*, O.V. Iftime, R. Stefan

*Corresponding author for this work

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Abstract

In this paper, moment matching-based loop shaping design for finite-dimensional linear systems is considered. First, the time-domain moment matching model reduction problem with complex-conjugated pole-zero placement is revisited. We explicitly calculate the free parameters such that the reduced order model, achieving moment-matching at complex-conjugated interpolation points, has pairs of complex-conjugated poles and zeros placed in desired locations. Then, we recast the problem of closed-loop pole placement in terms of moment-matching, with the moments equal to −1 and 0, respectively. Consequently, the free parameters of a model achieving both moment matching at complex-conjugated points and closed-loop pole placement at prescribed locations are determined. Furthermore, we combine the classical loop shaping method with closed-loop pole placement via moment matching to design a robust controller for stable, minimum-phase, proper systems. We illustrate the proposed moment matching-based loop shaping approach on a benchmark example.
Original languageEnglish
Title of host publication2023 European Control Conference (ECC)
Subtitle of host publicationProceedings
PublisherIEEE Xplore
Number of pages6
ISBN (Electronic)978-3-907144-08-4
ISBN (Print)978-1-6654-6531-1
Publication statusPublished - 17-Jul-2023

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