Feedback control designs for manufacturing systems modelled by continuous Petri nets
Dimitri Lefebvre · International Journal of Systems Science · 1999
This work is concerned with the control design of a certain class of manufacturing systems modelled by continuous time Petri nets. The considered systems are large series assembly workshops for which the final machine is a mono-input mono-output one. The average production frequencies of the machines are controlled according to the buffers' content. Three different feedback control designs are investigated: a bang-bang one, a proportional one, and a combined one. The convergence of the output buffer to a desired level is proved, and the analytic expression of the marking is detailed in the case of a single machine station. The results are then applied for the control design of open manufacturing lines.