Analysis of controlled morse type Frenkel-Kontorova model

Wenyan Tang, Zhihua Qu, Yi Guo, Younghun Kwon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The Frenkel-Kontorova (FK) model describes a one-dimensional particle array of N identical particles moving on a surface. This model attracts much attention due to its broaden application in many fields. A control problem for this model proposed in many papers is how to render the average velocity of the whole system reach a commanded value. In this study, an output feedback control law is designed to solve the proposed control problem. The main contribution of this paper is that the dynamics of single particles for FK model with morse type interaction under the designed control law is investigated using Lyapunov method. Computer simulation shows the interesting properties of single particles investigated.

Original languageEnglish (US)
Title of host publication2011 11th IEEE International Conference on Nanotechnology, NANO 2011
Pages1149-1154
Number of pages6
DOIs
StatePublished - Dec 1 2011
Event2011 11th IEEE International Conference on Nanotechnology, NANO 2011 - Portland, OR, United States
Duration: Aug 15 2011Aug 19 2011

Other

Other2011 11th IEEE International Conference on Nanotechnology, NANO 2011
CountryUnited States
CityPortland, OR
Period8/15/118/19/11

Fingerprint

Lyapunov methods
feedback control
Feedback control
computerized simulation
output
Computer simulation
interactions

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Bioengineering
  • Materials Chemistry
  • Electrical and Electronic Engineering

Cite this

Tang, W., Qu, Z., Guo, Y., & Kwon, Y. (2011). Analysis of controlled morse type Frenkel-Kontorova model. In 2011 11th IEEE International Conference on Nanotechnology, NANO 2011 (pp. 1149-1154). [6144419] https://doi.org/10.1109/NANO.2011.6144419
Tang, Wenyan ; Qu, Zhihua ; Guo, Yi ; Kwon, Younghun. / Analysis of controlled morse type Frenkel-Kontorova model. 2011 11th IEEE International Conference on Nanotechnology, NANO 2011. 2011. pp. 1149-1154
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Tang, W, Qu, Z, Guo, Y & Kwon, Y 2011, Analysis of controlled morse type Frenkel-Kontorova model. in 2011 11th IEEE International Conference on Nanotechnology, NANO 2011., 6144419, pp. 1149-1154, 2011 11th IEEE International Conference on Nanotechnology, NANO 2011, Portland, OR, United States, 8/15/11. https://doi.org/10.1109/NANO.2011.6144419

Analysis of controlled morse type Frenkel-Kontorova model. / Tang, Wenyan; Qu, Zhihua; Guo, Yi; Kwon, Younghun.

2011 11th IEEE International Conference on Nanotechnology, NANO 2011. 2011. p. 1149-1154 6144419.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Tang W, Qu Z, Guo Y, Kwon Y. Analysis of controlled morse type Frenkel-Kontorova model. In 2011 11th IEEE International Conference on Nanotechnology, NANO 2011. 2011. p. 1149-1154. 6144419 https://doi.org/10.1109/NANO.2011.6144419