Flatness-based control of a Timoshenko beam

被引：12

作者：

Rudolph, J ^{[1
]}

Woittennek, F ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Regelungs & Steuerungstheorie, D-01062 Dresden, Germany

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2003年 / 83卷 / 02期

关键词：

distributed delays; flatness based control; motion planning; Timoshenko beam;

D O I：

10.1002/zamm.200310011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An open loop control for a clamped Timoshenko beam, driven by a boundary torque, is presented. With the proposed method finite time transitions between two steady states can be achieved. The solution of the PDE is obtained using Mikusinski operators. The time dependent functions corresponding to the operators have compact support and can be represented using infinite series. When parametrizing the system by a flat output, the system trajectories can be written as definite integrals.

引用

页码：119 / 127

页数：9

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