Controlling the motion of charged particles in a vacuum electromagnetic field from the boundary

We consider the problem of driving two non-relativistic charged particles in a bounded vacuum electromagnetic field to the same location by applying electromagnetic forces through the boundary of the domain. The dynamics of the particles is modeled by the Maxwell–Lorentz system and the problem is re...

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Bibliographic Details
Published in:Automatica (Oxford) 2009-04, Vol.45 (4), p.1012-1019
Main Authors: Suazo, Luis R., Liu, Weijiu
Format: Article
Language:English
Subjects:
Applied sciences
Boundary feedback
Charged particle
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Maxwell–Lorentz system
Nuclear fusion
Perturbed energy
Physics
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
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Summary:We consider the problem of driving two non-relativistic charged particles in a bounded vacuum electromagnetic field to the same location by applying electromagnetic forces through the boundary of the domain. The dynamics of the particles is modeled by the Maxwell–Lorentz system and the problem is reduced to a boundary feedback control problem. Using the perturbed energy method, we design feedback controllers and prove that the particles under the designed control move to the origin exponentially. The techniques of control design and stability analysis may be potentially applied to control of fusion.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2008.11.011