Analysis and Control of Two-Layer Frenkel–Kontorova Model
TANG Wen-Yan1**, QU Zhi-Hua1,2, GUO Yi3
1School of Information Science and Engineering, Central South University, Changsha 410075 2School of Electrical Engineering and Computer Science, University of Central Florida, Orlando, FL 32816, USA 3Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA
Analysis and Control of Two-Layer Frenkel–Kontorova Model
TANG Wen-Yan1**, QU Zhi-Hua1,2, GUO Yi3
1School of Information Science and Engineering, Central South University, Changsha 410075 2School of Electrical Engineering and Computer Science, University of Central Florida, Orlando, FL 32816, USA 3Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA
摘要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.
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.
TANG Wen-Yan**;QU Zhi-Hua;GUO Yi
. Analysis and Control of Two-Layer Frenkel–Kontorova Model[J]. 中国物理快报, 2011, 28(11): 110204-110204.
TANG Wen-Yan**, QU Zhi-Hua, GUO Yi
. Analysis and Control of Two-Layer Frenkel–Kontorova Model. Chin. Phys. Lett., 2011, 28(11): 110204-110204.
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2011, Vol. 28 
