Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:B2L-D

Session:

Number:282

A study on feedback control of intrinsic localized modes in a micro-mechanical cantilever array

Masayuki Kimura,  Yasuo Matsushita,  Takashi Hikihara,  

pp.282-285

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.282

PDF download (1.4MB)

Intrinsic localized mode (ILM), which is also called discrete breather (DB), is an energy localized vibration in nonlinear coupled oscillators. It is well known that the ILM can move in the system without decay of its energy concentration. This paper shows that the position of ILM can be controlled by proportional-derivative control. To create a force to the ILM, linear on-site coefficients are modulated linearly with respect to the lattice number. Namely, value of the linear on-site coefficients linearly increase/decrease as the lattice number increases. Magnitude of the tilt is adjusted with PD control scheme. As a result of numerical simulations, a standing ILM is successfully controlled toward a reference position with keeping its energy concentration.

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