at Google ScholarTitle 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
This is the latest version of this item.
Related URLs
Project information
| Project title: |
Project's official title Project's id Anillos de Investigación en Ciencia y Tecnología ACT-1106 |
|---|---|
| Project financing: |
Comisión Nacional de Investigación Científica y Tecnológica (CONICYT) Center for Mathematical Modelling (CMM), Universidad de Chile |
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: | 18 Aug 2025 13:40 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/32111 |
Available Versions of this Item
-
Reduced-order LQG control of a Timoshenko beam model. (deposited 18 Apr 2015 21:00)
- Reduced-order LQG control of a Timoshenko beam model. (deposited 08 Apr 2016 08:24) [Currently Displayed]