OPTIMIZATION OF SOME ELECTRODYNAMICAL SYSTEMS,
Abstract
The techniques of optimization theory are applied to two electrodynamical systems. In both cases the physical problems are stated and the necessity of the obtainment of optimal controls are fixed as the main goals of this thesis. The solution to both problems are begun by deriving the dynamic equations of the systems, and, then mathematical models are constructed to describe them. In both cases the optimal controls are obtained by minimizing a quadratic performance index. In the first problem, the optimal control of an electromechanical instability is sought. A film or membrane is stretched between two rigid supports under the action of a constant tension and a transversal electric stress due to opposite electric fields which are produced by a constant voltage V sub o in series with a dependent voltage v applied to the film. It is proposed to keep this film at its position of equilibrium by controlling v. The second system is a radial electric field focusing device. Starting from the principle that adjustment of the voltage which produces the radial electric field can make the electrons in a cylindrical beam follow helical paths of constant radius, a regulator is designed to keep the beam focused. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1970
- Accession Number
- AD0700662
Entities
People
- Jose Humberto Garcia
Organizations
- University of Illinois Urbana–Champaign