Title :
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
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;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478931
