Reduced-order LQG control of a Timoshenko beam model

被引：3

作者：

Braun, Philipp ^{[1
]}

Hernandez, Erwin ^{[2
]}

Kalise, Dante ^{[3
]}

机构：

[1] Univ Bayreuth, Chair Appl Math, Univ Str 30, D-95440 Bayreuth, Germany

[2] Univ Tecn Federico Santa Maria, Dept Math, Ave Espana 1680, Valparaiso, Chile

[3] Austrian Acad Sci, Radon Inst Computat & Appl Math, Altenbergerstr 69, A-4040 Linz, Austria

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2016年 / 47卷 / 01期

关键词：

Timoshenko beam; model order reduction; LQG control/balancing; REDUCTION;

D O I：

10.1007/s00574-016-0128-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：143 / 155

页数：13

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