Analysis and control of two-layer Frenkel-Kontorova model

Wen Yan Tang; Zhi Hua Qu; Yi Guo

doi:10.1088/0256-307X/28/11/110204

Analysis and control of two-layer Frenkel-Kontorova model

Wen Yan Tang
, Zhi Hua Qu
, Yi Guo

Department of Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A one-dimensional two-layer Frenkel-Kontorova model is studied. Firstly, a feedback tracking control law is given. Then, the boundedness result for the error states of single particles of the model is derived using the Lyapunov Method. Especially, the motion of single particles can be approximated analytically for the case of sufficiently large targeted velocity. Simulations illustrate the accuracy of the derived results.

Original language	English
Article number	110204
Journal	Chinese Physics Letters
Volume	28
Issue number	11
DOIs	https://doi.org/10.1088/0256-307X/28/11/110204
State	Published - Nov 2011

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title = "Analysis and control of two-layer Frenkel-Kontorova model",

abstract = "A one-dimensional two-layer Frenkel-Kontorova model is studied. Firstly, a feedback tracking control law is given. Then, the boundedness result for the error states of single particles of the model is derived using the Lyapunov Method. Especially, the motion of single particles can be approximated analytically for the case of sufficiently large targeted velocity. Simulations illustrate the accuracy of the derived results.",

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AB - A one-dimensional two-layer Frenkel-Kontorova model is studied. Firstly, a feedback tracking control law is given. Then, the boundedness result for the error states of single particles of the model is derived using the Lyapunov Method. Especially, the motion of single particles can be approximated analytically for the case of sufficiently large targeted velocity. Simulations illustrate the accuracy of the derived results.

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VL - 28

JO - Chinese Physics Letters

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Analysis and control of two-layer Frenkel-Kontorova model

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