Reachability and controllability of a particle in a dielectrophoretic system

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A dielectrophoretic (DEP) force is a result of the interaction between a nonuniform electric field and a polarizable particle. As the electric field is dominant at the micro/nano scale, this force can be effectively used to manipulate and control particles on this scale. We consider the motion of a particle on an invariant line with the suspending medium being a fluid with a low Reynolds number. This DEP system has two states and two parameters: the two states are indicative of the particle's position and the induced dipole moment and the two parameters are a and c which depend upon the electric properties of the particle and the medium. The system is described by a set of ordinary differential equations with a quadratic term in the control variable (control being the applied voltage on the electrodes which induces the electric field) making the system non-affine in control. In the existing literature, the controllability studies of the DEP system have been restricted to reachability issues in the context of the time-optimal control problem. Here we present a comprehensive study of reachability, accessibility and controllability. (C) 2011 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2011-07
Language
English
Article Type
Article
Citation

SYSTEMS & CONTROL LETTERS, v.60, no.7, pp.460 - 467

ISSN
0167-6911
DOI
10.1016/j.sysconle.2011.03.011
URI
http://hdl.handle.net/10203/220778
Appears in Collection
EE-Journal Papers(저널논문)
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