Further studies of time optimal control for 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 low Reynolds number. At the bottom of this cham ber is a series of parallel electrodes with a controlled 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. The system has two parameters a 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 a can have either sign. The time-optimal control problem for this system with α < 0 and y(0) = 0 was studied in [1]. In this article, we solve the time-optimal control problem when α ≥ 0 and y(0) is arbitrarily pre-specified. ©2009 ACA.
Publisher
Asian Control Association
Issue Date
2009-08
Language
English
Citation

2009 7th Asian Control Conference, ASCC 2009, pp.1392 - 1396

URI
http://hdl.handle.net/10203/227802
Appears in Collection
EE-Conference Papers(학술회의논문)
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