Some considerations for passive boundary feedback damping of viscoelastic structures

Author

Desch, G. Wolfgang ; Hannsgen, Kenneth B. ; Wheeler, Robert L.

Author_Institution

Inst. fur Math., Graz Univ., Austria

Volume

1

fYear

1995

fDate

13-15 Dec 1995

Firstpage

451

Abstract

We consider a linearly viscoelastic structure controlled and observed by finitely many collocated actuators and sensors. We discuss properties of the open loop transfer function and the corresponding impulse response. Moreover we give a decomposition formula for the resolvent operator of the closed loop problem with passive boundary damping in terms of resolvent operators with energy conserving boundary conditions

Keywords

Volterra equations; boundary-value problems; damping; feedback; flexible structures; relaxation theory; vibration control; viscoelasticity; abstract Volterra equations; actuators; boundary feedback control; closed loop systems; decomposition formula; energy conserving boundary conditions; impulse response; linear viscoelasticity; operator valued relaxation modulus; passive boundary damping; sensors; transfer function; viscoelastic structures; Boundary conditions; Damping; Elasticity; Equations; Feedback; Force control; Hilbert space; Mathematics; Tensile stress; Viscosity;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.478931

Filename

478931