On the control of manufacturing lines modelled by controlled continuous Petri nets

We present a new methodology to study the control of a class of discrete event dynamic systems, opened manufacturing lines and closed manufacturing lines. Our contribution is based on the controlled variable speed continuous Petri net model. The computation of the control variables is made using a classic constrained optimization method. The resulting control solution is used to guide the real system behaviour. Some properties linked to the accessibility problem of the reference input are given. Through illustrative examples, the practical application of this approach issue will be made prominent