@article{77554d92681345cc823792a5cfa25f09,
title = "Control of microcantilevers in dynamic force microscopy using time delayed feedback",
abstract = "It has been recently shown that microcantilever sensors in dynamic force microscopes possibly exhibit chaotic oscillations due to the nonlinear tip-sample interaction force. In this article, we propose elimination of the chaotic oscillations using the time delayed feedback control method, which has an ability to stabilize unstable periodic orbits embedded in chaotic attractors. An extended operating range of the microscopes is numerically estimated by stability analysis of the target periodic oscillation. We also discuss an improved transient response of oscillation, which allows us to accelerate the scanning rate of the microscopes without reducing their force sensitivity.",
author = "Kohei Yamasue and Takashi Hikihara",
note = "Funding Information: The authors would like to thank Professor Igor Mezi{\'c}, University of California, Santa Barbara, for his kind acceptance for our use of DFM model. Our research is motivated by numerical results of his research group. The authors also thank Professor Kazumi Matsushige, Professor Hirofumi Yamada, and all other members of electronic material science and engineering laboratory, Kyoto University, for fruitful discussions and valuable suggestions on actual devices and their operation. The authors would like to appreciate Dr. Robert Walter Stark, Dr. Ferdinand Jamitzky, and Mr. Javier Rubio-Sierra, Ludwig-Maximilians-Universit{\"a}t M{\"u}nchen for their precious comments on nonlinear dynamics and control of microcantilevers in the DFM. This research is partially supported by the Ministry of Education, Culture, Sports, Science and Technology in Japan, The 21st Century COE Program No. 14213201.",
year = "2006",
month = may,
doi = "10.1063/1.2200747",
language = "English",
volume = "77",
journal = "Review of Scientific Instruments",
issn = "0034-6748",
publisher = "American Institute of Physics",
number = "5",
}