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Communication Dans Un Congrès Année : 2005

Control of Linear Min-plus Systems under Temporal Constraints

Résumé

We consider a class of controlled timed event graphs subject to strict temporal constraints. Such a graph is deterministic, in the sense that its behaviour only depends on the initial marking and on the control that is applied. This behaviour can be modelled by a system of difference equations that are linear in the Min-Plus algebra. The temporal constraint is represented by an inequality that is also linear in the min-plus algebra. Then, a method for the synthesis of a control law ensuring the respect of constraints is described. We give explicit formulas characterizing a control law, which, if two conditions are satisfied, ensures the validity of the temporal constraints. It is a causal state feedback, involving delays. The method is illustrated on an example.
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Dates et versions

hal-00362920 , version 1 (19-02-2009)

Identifiants

  • HAL Id : hal-00362920 , version 1

Citer

Saïd Amari, Isabel Demongodin, Jean Jacques Loiseau. Control of Linear Min-plus Systems under Temporal Constraints. 44th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2005), Dec 2005, Seville, Spain. pp.7738-7743. ⟨hal-00362920⟩
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