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In controlling distributed parameter systems it is often desirable to obtain low-order, finite-dimensional controllers in order to minimize real-time computational requirements. Standard approaches to this problem employ model/controller reduction techniques in conjunction with LQG theory. In this paper we consider the finite-dimensional approximation of the infinite-dimensional Bernstein/Hyland optimal projection theory. This approach yields fixed-finite-order controllers which are optimal with respect to high-order, approximating, finite-dimensional plant models. The technique is illustrated by computing a sequence of first-order controllers for one-dimensional, single-input/single-output, parabolic (heat/diffusion) and hereditary systems using spline-based, Ritz-Galerkin, finite element approximation. Numerical studies indicate convergence of the feedback gains with less than 2 percent performance degradation over full-order LQG controllers for the parabolic system and 10 percent degradation for the hereditary system.

1History of a Lie: "The Protocols of the Wise Men of Zion"

By Herman Bernstein

A presentation and deconstruction of the "Protocols of the Wise Men of Zion", an anti-Semitic work fabricated in order to brand Jews as dangerous and evil people, depicting the fictional secret Jewish world organization which aims to conquer the modern world. - Summary by Nathan Lewin