Design of max-plus control laws to meet temporal constraints in timed event graphs

The aim of the work presented is the control of timed event graph in order to meet tight temporal constraints. The temporal constraint represents the maximal duration of a chemical or thermal treatment, for instance. We formulate the problem in terms of control of linear Max-Plus models. A method for the synthesis of a control law ensuring the meeting of constraints is first described for a single input single constraint. Then, the single input multi constraint problem is tackled and finally, the method is extended to the multi inputs, multi constraints problem. The proposed method is illustrated on an example.