Reduced-order LQG control of a Timoshenko beam model

Title: Reduced-order LQG control of a Timoshenko beam model
Creator: Braun, Philip; Hernández, Erwin; Kalise, Dante
Relation: Bulletin of the Brazilian Mathematical Society Vol. 47, Issue 1, p. 143-155
Publisher Link: http://dx.doi.org/10.1007/s00574-016-0128-z
Publisher: Springer
Resource Type: journal article
Date: 2016
Description: We present a computational approach for the construction of reduced-order controllers for the Timoshenko beam model. By means of a space discretization of the Timoshenko equations, we obtain a large-scale, finite-dimensional dynamical system, for which we compute an LQG controller for closed-loop stabilization. The solutions of the algebraic Riccati equations characterizing the LQG controller are then used to construct a balancing transformation which allows the dimensional reduction of the large-scale dynamic compensator. We present numerical tests assessing the stability and performance of the approach.
Subject: Timoshenko beam; model order reduction; LQG control/balancing
Identifier: http://hdl.handle.net/1959.13/1356438
Identifier: uon:31709
Identifier: ISSN:1678-7544
Language: eng
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