Reduced-order LQG control of a Timoshenko beam model

Article

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 approach.

Keywords

Timoshenko beam model order reduction LQG control/balancing 

Mathematical subject classification

Primary: 93C20 Secondary: 78M34 

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Copyright information

© Sociedade Brasileira de Matemática 2016

Authors and Affiliations

  1. 1.Chair of AppliedMathematicsUniversity of BayreuthBayreuthGermany
  2. 2.Department of MathematicsTechnical University Federico Santa MaríaValparaísoChile
  3. 3.Radon Institute for Computational and Applied Mathematics (RICAM)Austrian Academy of SciencesLinzAustria

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