- Title
- Reduced-order LQG control of a Timoshenko beam model
- Creator
- Braun, Philip; Hernández, Erwin; Kalise, Dante
- Relation
- Bulletin of the Brazilian Mathematical Society Vol. 47, Issue 1, p. 143-155
- Publisher Link
- http://dx.doi.org/10.1007/s00574-016-0128-z
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2016
- Description
- 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.
- Subject
- Timoshenko beam; model order reduction; LQG control/balancing
- Identifier
- http://hdl.handle.net/1959.13/1356438
- Identifier
- uon:31709
- Identifier
- ISSN:1678-7544
- Language
- eng
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