TY - JOUR
T1 - A simple control scheme for the manipulation of a particle by means of optical tweezers
AU - Aguilar-Ibañez, Carlos
AU - Suarez-Castanon, Miguel S.
AU - Rosas-Soriano, Luis I.
PY - 2011/2
Y1 - 2011/2
N2 - 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.
AB - 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.
KW - Lyapunov stability
KW - feedback control
KW - optical tweezers
UR - http://www.scopus.com/inward/record.url?scp=78651393925&partnerID=8YFLogxK
U2 - 10.1002/rnc.1602
DO - 10.1002/rnc.1602
M3 - Artículo
SN - 1049-8923
VL - 21
SP - 328
EP - 337
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
IS - 3
ER -