TY - JOUR
T1 - Reduced-order LQG control of a Timoshenko beam model
AU - Braun, Philipp
AU - Hernández, Erwin
AU - Kalise, Dante
N1 - Publisher Copyright:
© 2016, Sociedade Brasileira de Matemática.
PY - 2016/3/1
Y1 - 2016/3/1
N2 - 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.
AB - 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.
KW - LQG control/balancing
KW - Timoshenko beam
KW - model order reduction
UR - http://www.scopus.com/inward/record.url?scp=84961768912&partnerID=8YFLogxK
U2 - 10.1007/s00574-016-0128-z
DO - 10.1007/s00574-016-0128-z
M3 - Article
SN - 1678-7544
VL - 47
SP - 143
EP - 155
JO - Bulletin of the Brazilian Mathematical Society
JF - Bulletin of the Brazilian Mathematical Society
IS - 1
ER -