Abstract
A control strategy for changing the position of an immersed micro particle in a viscous medium and trapped by optical tweezers is presented. The feedback controller was designed under the consideration that the mass of the micro particle is sufficiently enough so it can be discarded from the equations of motion. In practice it is true, since the inertial force produced by the motion of a micron-scaled trapped particle is completely dominated by the medium viscous drag force [2]. To carried out the stability analysis of the controlled system the standard Lyapunov stability theory was used. Numerical simulations were performed to show the robustness of the obtained closed-loop system in the presence of random thermal noise.
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