Synchronization in the Frenkel-Kontorova Model with Application to Control of Nanoscale Friction

Kód výsledku v IS VaVaI

RIV/68407700:21230/21:00350434 - isvavai.cz

Výsledek na webu

https://doi.org/10.1016/j.ifacol.2021.10.388

DOI - Digital Object Identifier

10.1016/j.ifacol.2021.10.388

Jazyk výsledku

angličtina

Název v původním jazyce

Synchronization in the Frenkel-Kontorova Model with Application to Control of Nanoscale Friction

Popis výsledku v původním jazyce

This paper tailors synchronization of multi-agent systems to motion control of the Frenkel-Kontorova (FK) model, a one-dimensional chain of harmonically coupled identical particles in a spatially periodic potential field. In particular, the goal is to drive all particles in the FK model to the desired trajectory by controlling only a single—boundary—particle. The proposed solution augments harmonic coupling in the FK model with dissipative inter-particle interactions, allowing all particles in the chain to synchronize to a particular reference trajectory. The boundary control represents a special case of pinning control. Moreover, as the FK model describes the frictional dynamics of a nanosheet sliding over a surface, we use its synchronization for controlling the nanoscale sliding friction. The key idea is to introduce a sliding reference trajectory that allows particles to move near synchrony. Synchronization effectively increases the system’s stiffness, so less energy ends up dissipated through inter-particle relative motion, thus reducing the frictional force. We validate the proposed solution through numerical simulations.

Název v anglickém jazyce

Synchronization in the Frenkel-Kontorova Model with Application to Control of Nanoscale Friction

Popis výsledku anglicky

This paper tailors synchronization of multi-agent systems to motion control of the Frenkel-Kontorova (FK) model, a one-dimensional chain of harmonically coupled identical particles in a spatially periodic potential field. In particular, the goal is to drive all particles in the FK model to the desired trajectory by controlling only a single—boundary—particle. The proposed solution augments harmonic coupling in the FK model with dissipative inter-particle interactions, allowing all particles in the chain to synchronize to a particular reference trajectory. The boundary control represents a special case of pinning control. Moreover, as the FK model describes the frictional dynamics of a nanosheet sliding over a surface, we use its synchronization for controlling the nanoscale sliding friction. The key idea is to introduce a sliding reference trajectory that allows particles to move near synchrony. Synchronization effectively increases the system’s stiffness, so less energy ends up dissipated through inter-particle relative motion, thus reducing the frictional force. We validate the proposed solution through numerical simulations.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

GA21-07321S: Přetrvávající problémy repetitivního řízení

Návaznosti

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

Rok uplatnění

2021

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

406-411

Název nakladatele

IFAC

Místo vydání

Laxenburg

Místo konání akce

Tokio

Datum konání akce

15. 9. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000714395700070