Stabilization and disturbance rejection for the beam equation

Author

Morgul, Omer

Author_Institution

Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey

Volume

46

Issue

12

fYear

2001

fDate

12/1/2001 12:00:00 AM

Firstpage

1913

Lastpage

1918

Abstract

We consider a system described by the Euler-Bernoulli beam equation. For stabilization, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the controller is a marginally stable positive real function which may contain poles on the imaginary axis. We then give various asymptotical and exponential stability results. We also consider the disturbance rejection problem

Keywords

asymptotic stability; distributed parameter systems; flexible structures; group theory; transfer functions; Euler-Bernoulli beam equation; asymptotical stability; distributed parameter systems; disturbance rejection; disturbance rejection problem; dynamic boundary controller; exponential stability; flexible structures; imaginary axis; marginally stable positive real function; poles; semigroup theory; stabilization; transfer function; Asymptotic stability; Control systems; Distributed control; Distributed parameter systems; Flexible structures; Partial differential equations; Power system dynamics; Power system stability; Robust stability; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.975475

Filename

975475