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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Melnyk, M. Dong Eui Chang |
| Copyright Year | 2009 |
| Description | Author affiliation: NSERC, Applied Mathematics, University of Waterloo, 200 University Ave. W., ON, N2L 3G1, Canada (Melnyk, M.; Dong Eui Chang) |
| Abstract | 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 chamber is a series of parallel electrodes with a controlled voltage. The voltage on the electrodes creates a timevarying 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 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. 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. |
| Starting Page | 1392 |
| Ending Page | 1396 |
| File Size | 1722779 |
| Page Count | 5 |
| File Format | |
| ISBN | 9788995605622 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-08-27 |
| Publisher Place | China |
| Access Restriction | Subscribed |
| Subject Keyword | Electrodes Fluid flow control Nonuniform electric fields Optimal control Electric variables Control systems Electric variables control Dielectrophoresis Voltage control Physics |
| Content Type | Text |
| Resource Type | Article |
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