Modelling, analysis and control of electroplating line modelled by P-time event graphs

Abstract

In this paper, we propose a method to deal with performance evaluation and control of electroplating line modelled by P-time event graphs. The dater functions allow us to describe the dynamical behaviour of a given P-time event graphs in the standard algebra by means of implicit discrete system. From this formalism, different problems can be addressed. When we assume that the behaviour of the modelled system is 1-periodic, a linear programming problem can be derived from the discrete implicit system, to answer both, the minimum (maximum) cycle time and the optimal initial sojourn time of tokens. In a control context, we show how the discrete implicit system may be used to design a control law for a electroplating system using the concept of positive invariance.