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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00350434" target="_blank" >RIV/68407700:21230/21:00350434 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.ifacol.2021.10.388" target="_blank" >https://doi.org/10.1016/j.ifacol.2021.10.388</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ifacol.2021.10.388" target="_blank" >10.1016/j.ifacol.2021.10.388</a>

Result language
angličtina
Original language name
Synchronization in the Frenkel-Kontorova Model with Application to Control of Nanoscale Friction
Original language description
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.
Czech name
—
Czech description
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Project
<a href="/en/project/GA21-07321S" target="_blank" >GA21-07321S: Persistent problems of repetitive control</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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