Algebraic synthesis of transition conditions of a state model

The synthesis method presented in this paper has been developed to automatically design logic controllers. In this paper, we show how to use this approach in the specific case where a designer must derive a particular controller from a generic model. The instantiation of the model is completely achieved by an algebraic synthesis. To illustrate the approach, the example of a water supply system is used and the generic model of the controller is given under the form of a sequential function chart (SFC).