An optimization-based algorithm for simultaneous shaping of poles and zeros for non-collocated vibration suppression

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F22%3A00362452" target="_blank" >RIV/68407700:21220/22:00362452 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.ifacol.2022.09.056" target="_blank" >https://doi.org/10.1016/j.ifacol.2022.09.056</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ifacol.2022.09.056" target="_blank" >10.1016/j.ifacol.2022.09.056</a>

Jazyk výsledku

angličtina

Název v původním jazyce

An optimization-based algorithm for simultaneous shaping of poles and zeros for non-collocated vibration suppression

Popis výsledku v původním jazyce

This article presents a control design method for simultaneous shaping of the poles and zeros of linear time-invariant systems, motivated by the application of non-collocated vibration suppression to flexible multi-body systems. An entire suppression of vibrations at a target mass for a given excitation frequencies can be recast into the problem of assigning zeros of the transfer function from the excitation force to the target mass’ position. The design requirement of achieving sufficient damping in the closed loop system combined with suppressing vibrations at the target, leads to the minimization of the spectral abscissa function of the closed loop system as a function of the controller parameters, subject to zero location constraints. These constraints exhibit polynomial dependence on the controller parameters. We present two approaches to solve the optimization problem which are both based on constraint elimination followed by application of an algorithm for non-smooth unconstrained optimization. The design approach is applicable to delay-free models as well as time-delay models of retarded and neutral type. Simulations results illustrate its applicability to a spring-mass-damper system.

Název v anglickém jazyce

An optimization-based algorithm for simultaneous shaping of poles and zeros for non-collocated vibration suppression

Popis výsledku anglicky

This article presents a control design method for simultaneous shaping of the poles and zeros of linear time-invariant systems, motivated by the application of non-collocated vibration suppression to flexible multi-body systems. An entire suppression of vibrations at a target mass for a given excitation frequencies can be recast into the problem of assigning zeros of the transfer function from the excitation force to the target mass’ position. The design requirement of achieving sufficient damping in the closed loop system combined with suppressing vibrations at the target, leads to the minimization of the spectral abscissa function of the closed loop system as a function of the controller parameters, subject to zero location constraints. These constraints exhibit polynomial dependence on the controller parameters. We present two approaches to solve the optimization problem which are both based on constraint elimination followed by application of an algorithm for non-smooth unconstrained optimization. The design approach is applicable to delay-free models as well as time-delay models of retarded and neutral type. Simulations results illustrate its applicability to a spring-mass-damper system.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název statě ve sborníku

IFAC-PapersOnLine

ISBN

—

ISSN

2405-8963

e-ISSN

2405-8963

Počet stran výsledku

6

Strana od-do

394-399

Název nakladatele

Elsevier BV

Místo vydání

Linz

Místo konání akce

Gif sur Yvette

Datum konání akce

18. 7. 2022

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000855235100065