Backstepping Boundary Controllers and Observers for the Slender Timoshenko Beam: Part II---Stability and Simulations

Author

Krstic, Miroslav ; Siranosian, Antranik A. ; Smyshlyaev, Andrey ; Bement, Matt

Author_Institution

Dept. of Mech. & Aerosp. Eng., California Univ., San Diego, CA

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

3938

Lastpage

3943

Abstract

We present the stability analysis and numerical results for our controller and observer designs for the slender Timoshenko beam with Kelvin-Voigt (internal material) damping. Our designs, introduced in a companion ACC \´06 paper, use a combination of classical "damping boundary feedback" ideas with backstepping. The main advantage of our techniques over the previous boundary damping results is that they apply to the readily implementable "anti-collocated" architecture, which uses actuation only at the beam\´s base and sensing only at the beam\´s tip

Keywords

beams (structures); control system synthesis; damping; distributed parameter systems; feedback; observers; stability; Kelvin-Voigt damping; backstepping boundary controllers; controller design; damping boundary feedback; observer designs; slender Timoshenko beam; stability analysis; Analytical models; Backstepping; Damping; Deformable models; Feedback; Optical coupling; Partial differential equations; Stability analysis; Testing; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377717

Filename

4177226