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Reduced-order LQG control of a Timoshenko beam model

Title data

Braun, Philipp ; Hernández, Erwin ; Kalise, Dante:
Reduced-order LQG control of a Timoshenko beam model.
In: Bulletin of the Brazilian Mathematical Society : New Series. Vol. 47 (2016) Issue 1 . - pp. 143-155.
ISSN 1678-7714
DOI: https://doi.org/10.1007/s00574-016-0128-z

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Project information

Project title:
Project's official titleProject's id
Programa "Fondo Nacional de Desarrollo Científico y Tecnológico" (FONDECYT), Grant1140392
Basal Financing ProgramNo information
Proyecto Anillo de Investigación en Ciencia y TecnologíaACT-1106

Project financing: Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
Center for Mathematical Modelling (CMM), Universidad de Chile
Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)

Abstract in another language

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 proposed approach.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Timoshenko beam; closed-loop control; model order reduction; LQG control/balancing
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 08 Apr 2016 08:24
Last Modified: 08 Apr 2016 08:24
URI: https://eref.uni-bayreuth.de/id/eprint/32111

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