Feedback stabilization of forming processes

IFAC-PapersOnLine, vol. 54, pp. 97–102

Abstract

We develop online feedback control for forming processes governed by nonlinear material models. A novel approach based on a description using partial differential equation governing time-dependent viscoplastic deformations is proposed. The derivation of the feedback control law is based on a Lyapunov analysis of the linearised partial differential equation. Analytically and in the spatially one-dimensional setting exponential decay of the time evolution of perturbations to desired stress–strain states is established. Also, a similar performance of the feedback control is observed when implemented in a three–dimensional finite element simulation of titanium alloy forming.

Authors 3

1. Markus� Bambach corresponding

   ETH Zurich

   Affiliation as printed

   Advanced Manufacturing, ETH Zurich, Switzerland

2. Michaël Herty corresponding Aachen Institute of Applied Mathematics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mathematics, RWTH Aachen University, Germany

3. Muhammad� Imran corresponding

   Brandenburg University of Technology Cottbus-Senftenberg

   Affiliation as printed

   Lehrstuhl Konstruktion und Fertigung, BTU Cottbus-Senftenberg, Germany