at Google ScholarTitle 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 p.
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 |
|---|---|
| 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: | Preprint, postprint |
|---|---|
| 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: | 18 Apr 2015 21:00 |
| Last Modified: | 20 Apr 2015 07:12 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/10511 |
Available Versions of this Item
- Reduced-order LQG control of a Timoshenko beam model. (deposited 18 Apr 2015 21:00) [Currently Displayed]