A novel feedback control system – Controlling the material flow in deep drawing using distributed blank-holder force

The performance of a feedback control system is often limited by the quality of the model on which it is
based, and often the controller design is based on trial and error due to insufficient modeling capabilities.
A framework is proposed where the controller design is based on classical state space control theory and
time series. The system plant has been modeled using non-linear finite element and the gain factors for
the control loop were identified by solving the optimal control problem using a non-linear least square
optimization algorithm.
The proposed design method has been applied on a deep drawing operation where the objective was
to control material flow throughout the part using only spatial information regarding flange draw-in. The
control system controls both the magnitude and distribution of the blank-holder force.
The methodology proved stable and flexible with respect to controlling the dynamic behavior of the
system and the numerical tests showed that it is possible to control the material flow.
Preliminary experimental results show that the proposed control system can eliminate process instability
when the process is subject to a systematic error.