562 RWTH Publication No: 819797        2021       
TITLE Feedback stabilization of forming processes
AUTHORS Markus Bambach, Michael Herty, Muhammad Imran
ABSTRACT We are interested in the control of forming processes for nonlinear material models. To develop an online control we derive a novel feedback law and prove a stabilization result. The derivation of the feedback control law is based on a Laypunov analysis of the time-dependent viscoplastic material models. The derivation uses the structure of the underlying partial differential equation for the design of the feedback control. Analytically, exponential decay of the time evolution of perturbations to desired stress--strain states is shown. We test the new control law numerically by coupling it to a finite element simulation of a deformation process.
KEYWORDS Property-Controlled Forming, Stabilization, Lyapunov Function, Viscoplastic Material Models
DOI 10.1016/j.ifacol.2021.10.057
PUBLICATION IFAC-PapersOnLine, Volume 54, Issue 11, 2021, Pages 97-102