Stability optimization of time-delay systems with zero-location constraints applied to non-collocated vibration suppression

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F24%3A00370905" target="_blank" >RIV/68407700:21730/24:00370905 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21220/24:00370905

Result on the web

<a href="https://doi.org/10.1016/j.ymssp.2023.110886" target="_blank" >https://doi.org/10.1016/j.ymssp.2023.110886</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ymssp.2023.110886" target="_blank" >10.1016/j.ymssp.2023.110886</a>

Result language

angličtina

Original language name

Stability optimization of time-delay systems with zero-location constraints applied to non-collocated vibration suppression

Original language description

We present an active control method for achieving non-collocated vibration absorption, implemented on a lumped mass system. The task of suppressing vibrations at a number of frequencies, at a target mass is recast into a problem of assigning zeros of the transfer function from the external excitation force to the position of the target mass. The controller design involves computing the controller parameters by utilizing the available output feedback to directly assign a set of zeros on the imaginary axis while simultaneously preserving the overall stability with a sufficient margin. The design also takes into account delays in the feedback path. The presence of delays leads to an infinite dimensional system for which, there exists in general, infinitely many characteristic roots. The requirement of achieving sufficient damping in the resulting closed-loop system together with suppressing vibrations of the desired frequency leads to a constrained optimization problem of minimizing the spectral abscissa function subject to zero-location constraints. These constraints exhibit polynomial dependence on the controller parameters. We present two approaches for controller parameterization for the single and multiple input case. Both approaches are based on constraint elimination and exploit the property that the constraints are affine in a selection of the gain parameters. Finally, the methodology is verified by simulating on a spring–mass–damper system following which, it is then validated experimentally on a laboratory setup.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20205 - Automation and control systems

Project

<a href="/en/project/GA21-00871S" target="_blank" >GA21-00871S: Active non-collocated vibration absorption for robots and mechanical structures</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mechanical Systems and Signal Processing

ISSN

0888-3270

e-ISSN

1096-1216

Volume of the periodical

208

Issue of the periodical within the volume

February

Country of publishing house

GB - UNITED KINGDOM

Number of pages

17

Pages from-to

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UT code for WoS article

001127758500001

EID of the result in the Scopus database

2-s2.0-85180536200