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Time optimal control of a dielectrophoretic system
Author(s) -
Melnyk Matthew P.,
Chang Dong Eui
Publication year - 2011
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.181
Subject(s) - dipole , electric field , moment (physics) , particle (ecology) , voltage , position (finance) , reynolds number , physics , mechanics , dielectrophoresis , electric dipole moment , electrode , control theory (sociology) , electrical engineering , classical mechanics , engineering , control (management) , computer science , quantum mechanics , turbulence , oceanography , finance , artificial intelligence , economics , geology
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 α 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 α can have either sign. We solve the time optimal control problem for this system when α≥0 and y (0) is arbitrarily prescribed. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society