Reduced-order LQG control of a Timoshenko beam model

Philipp Braun, Erwin Hernández, Dante Kalise*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)143-155
Number of pages13
JournalBulletin of the Brazilian Mathematical Society
Volume47
Issue number1
DOIs
Publication statusPublished - 1 Mar 2016
Externally publishedYes

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