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Max-Plus Control Design for Temporal Constraints Meeting in Timed Event Graphs

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4 Author(s)
Amari, S. ; LURPA, Ecole Normale Super. de Cachan, Cachan, France ; Demongodin, I. ; Loiseau, J.J. ; Martinez, C.

The aim of the presented work is the control of Timed Event Graph to meet tight temporal constraints. The problem of temporal constraints is formulated in terms of control of linear Max-Plus models. First, the synthesis of a control law that ensures the satisfaction of a single constraint for a single input system is presented. Then, the single input multi-constraints problem is tackled and finally, the method is extended to the multi-inputs, multi-constraints problem. The proposed method is illustrated on the example of a simple production process.

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Automatic Control, IEEE Transactions on  (Volume:57 ,  Issue: 2 )