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Title data
Braun, Philipp ; Hernández, Erwin ; Kalise, Dante:
Reduced-order LQG control of a Timoshenko beam model.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2015
. - 11 S.
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Project information
| Project title: |
Project's official title Project's id Programa "Fondo Nacional de Desarrollo Científico y Tecnológico" (FONDECYT), Grant 1140392 Basal Financing Program No information Proyecto Anillo de Investigación en Ciencia y Tecnología ACT-1106 |
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| 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
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: | Preprint, postprint |
|---|---|
| Additional notes (visible to public): | erschienen in:
Bulletin of the Brazilian Mathematical Society : New Series. Bd. 47 (2016) Heft 1 . - S. 143-155. DOI: https://doi.org/10.1007/s00574-016-0128-z |
| Keywords: | Timoshenko beam; closed-loop control; model order reduction; LQG control/balancing |
| DDC Subjects: | 500 Science > 510 Mathematics |
| 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 |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-1990-4 |
| Date Deposited: | 17 Apr 2015 07:11 |
| Last Modified: | 01 Jun 2021 05:16 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/1990 |
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