H∞ tuning rules for positive position feedback controllers: the single-degree-of-freedom case and beyond

Dietrich, Jennifer; Raze, Ghislain; Deraemaeker, Arnaud; Collette, Christophe; Kerschen, Gaëtan

doi:10.1177/10775463241258801

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H∞ tuning rules for positive position feedback controllers: the single-degree-of-freedom case and beyond

Dietrich, Jennifer; Raze, Ghislain; Deraemaeker, Arnaud et al.

2024 • In Journal of Vibration and Control, 31 (13-14), p. 2624-2638

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https://hdl.handle.net/2268/318734

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10.1177/10775463241258801

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Keywords :

Positive position feedback controller; Active control; Vibration mitigation; Equal-peak tuning

Abstract :

[en] This paper presents an exact H∞ tuning methodology for a positive position feedback (PPF) controller applied to a single-degree-of-freedom (SDOF) system. To this end, an equivalence between the closed-loop receptances of a PPF controller and a resistive-inductive shunt with a negative capacitance is put forward, which, in turn, enables us to adopt the existing shunt tuning rule in the active control case. The resulting tuning procedure is demonstrated using two numerical examples, namely an SDOF system and a finite element model of a cantilever beam. Based on the results obtained on the cantilever beam, it is shown that the influence of higher-frequency modes cannot be neglected to obtain effective vibration damping. The design procedure proposed for the PPF controller is then extended to this case and validated using an experimental cantilever beam.

Disciplines :

Aerospace & aeronautics engineering
Mechanical engineering
Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Dietrich, Jennifer ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)

Raze, Ghislain ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Deraemaeker, Arnaud; ULB - Université Libre de Bruxelles [BE] > Building Architecture and Town Planning (BATir) Department

Collette, Christophe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Active aerospace structures and advanced mechanical systems

Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Language :

English

Title :

H∞ tuning rules for positive position feedback controllers: the single-degree-of-freedom case and beyond

Publication date :

2024

Journal title :

Journal of Vibration and Control

ISSN :

1077-5463

eISSN :

1741-2986

Publisher :

SAGE, New York, United States - New York

Volume :

Issue :

13-14

Pages :

2624-2638

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://journals.sagepub.com/doi/full/10.1177/10775463241258801

Funding text :

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the Fonds de la Recherche scientifique—FNRS under Grant number: FRS-FNRS PDR T.0124.21, which is gratefully acknowledged. Ghislain Raze is a Postdoctoral Researcher of the Fonds de la Recherche Scientifique—FNRS. The authors would also like to acknowledge the financial support of the SPW (WALInnov grant: 1610122).

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