Premium
A simple control scheme for the manipulation of a particle by means of optical tweezers
Author(s) -
AguilarIbañez Carlos,
SuarezCasta Miguel S.,
RosasSoriano Luis I.
Publication year - 2011
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1602
Subject(s) - optical tweezers , drag , simple (philosophy) , controller (irrigation) , position (finance) , particle (ecology) , control theory (sociology) , inertial frame of reference , lyapunov stability , lyapunov function , stability (learning theory) , physics , tweezers , classical mechanics , noise (video) , computer science , mechanics , control (management) , optics , quantum mechanics , image (mathematics) , oceanography , machine learning , agronomy , finance , nonlinear system , economics , geology , philosophy , artificial intelligence , biology , epistemology
We present a simple control scheme for changing the position of a microscopic particle immersed in a viscous medium and trapped by optical tweezers. We derive a simple feedback controller under the consideration that the particle mass is so small that it can be discarded from the motion equations. This approximation is well justified in practice, since the inertial force produced by the motion of a micron‐scaled trapped particle is completely dominated by the medium viscous drag force. Finally, we formally prove that the obtained controller is able to globally asymptotically stabilize the system when the particle mass is considered, if some suitable values of some control parameter are used. The stability analysis of the controlled system was carried out by using the standard Lyapunov stability theory. Also, by means of numerical simulations, we show that the obtained closed‐loop system is robust when random thermal noise is presented. Copyright © 2010 John Wiley & Sons, Ltd.