DocumentCode
1157676
Title
Dynamic boundary control of a Euler-Bernoulli beam
Author
Morgül, Ömer
Author_Institution
Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey
Volume
37
Issue
5
fYear
1992
fDate
5/1/1992 12:00:00 AM
Firstpage
639
Lastpage
642
Abstract
A flexible beam, clamped to a rigid base at one end and free at the other end is considered. To stabilize the beam vibrations, a dynamic boundary force control and a dynamic boundary torque control applied at the free end of the beam are proposed. It is proved that with the proposed controls, the beam vibrations decay exponentially. The proof uses a Lyapunov functional, based on the energy functional of the system
Keywords
Lyapunov methods; distributed parameter systems; force control; functional equations; stability; torque control; vibration control; Euler-Bernoulli beam; Lyapunov functional; distributed parameter systems; dynamic boundary force control; dynamic boundary torque control; energy functional; flexible beam; vibration control; vibration stabilisation; Actuators; Automatic control; Displacement control; Force control; Mechanical systems; Partial differential equations; Structural beams; Torque control; Vibration control; Weight control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.135504
Filename
135504
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