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An approximation technique for computing optimal fixed-order controllers for infinite-dimensional systems

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2 Author(s)
D. S. Bernstein ; Harris Corp., Melbourne, FL, USA ; I. G. Rosen

The authors consider the finite-dimensional approximation of the infinite-dimensional optimal projection theory of Bernstein and Hyland (1984, 1986), the purpose being model and controller order reduction. The approach yields fixed-finite-order controllers which are optimal with respect to high-order, approximating, finite-dimensional plant models. The authors illustrate the technique by computing a sequence of first-order controllers, for a one-dimensional, single-input/single-output, parabolic (heat/diffusion) system using a spline-based, Ritz-Galerkin, finite-element approximation. The numerical studies indicate convergence of the feedback gains with less than 2% performance degradation over full-order LQG controllers

Published in:

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Date of Conference:

7-9 Dec 1988