TIME OPTIMAL CONTROL OF A DIELECTROPHORETIC SYSTEM

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This paper examines a time optimal control problem for a dielectrophoretic system. The system consists of a neutrally buoyant and neutrally charged particle in a chamber filled with a fluid flowing with a low Reynolds number. At the bottom of this chamber is a series of parallel electrodes with a controlled time-varying voltage. The voltage on the electrodes creates a time-varying nonuniform electric field inducing a dipole moment in the particle. This induced dipole moment interacts with the electric field to generate a force on the particle. There are two state variables x and y, where x is the position of the particle and y is the induced dipole moment in the particle. The system has two parameters alpha and c which depend on the electric characteristics of the particle and the ambient fluid. The parameter c is always positive by the laws of physics, but alpha can have either sign. We solve the time optimal control problem for this system when alpha >= 0 and y( 0) is arbitrarily prescribed.
Publisher
WILEY-BLACKWELL
Issue Date
2011-07
Language
English
Article Type
Article
Citation

ASIAN JOURNAL OF CONTROL, v.13, no.4, pp.480 - 491

ISSN
1561-8625
DOI
10.1002/asjc.181
URI
http://hdl.handle.net/10203/220779
Appears in Collection
EE-Journal Papers(저널논문)
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