An approximation technique for computing optimal fixed-order controllers for infinite-dimensional systemsThe finite-dimensional approximation of the infinite-dimensional Bernstein/Hyland optimal projection theory is investigated analytically. The 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 a one-dimensional SISO 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-percent performance degradation over full-order LQG controllers.
Document ID
19890041292
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Bernstein, Dennis S. (Harris Corp. Government Aerospace Systems Div., Melbourne, FL, United States)
Rosen, I. Gary (Southern California, University Los Angeles, CA, United States)