The stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation

Author

Guo, Bao-Zhu ; Wang, Jun-Min ; Yang, Kunyi

Author_Institution

Acad. of Math. & Syst. Sci. Acad. Sinica, Beijing

fYear

2007

fDate

12-14 Dec. 2007

Firstpage

4167

Lastpage

4172

Abstract

We study the stabilization of an Euler-Bernoulli equation under the boundary control at one end and observation at another end. We construct an infinite-dimensional observer to track the state exponentially. A proportional output feedback control based on the observed state is designed. The closed-loop system is shown to be non-dissipative but a Riesz spectral system. Then both the determined-growth condition and exponential stability are concluded.

Keywords

asymptotic stability; control system synthesis; feedback; multidimensional systems; observers; proportional control; Euler-Bernoulli beam stabilization; Euler-Bernoulli equation; Riesz spectral system; boundary control; closed-loop system; control design; exponential stability; exponential state tracking; infinite-dimensional observer; noncollocated observation; nondissipative system; proportional output feedback control; Backstepping; Control design; Control systems; Helium; Lyapunov method; Mathematics; Open loop systems; Partial differential equations; Stability; Strain control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2007 46th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

978-1-4244-1497-0

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2007.4434170

Filename

4434170