1Disturbance Decoupling of Timed Event Graphs by Output Feedback Controller

Abstract

This paper deals with the closed loop controller design for (max,+)-linear systems (Timed Event Graphs in the Petri nets formalism) when some exogenous and uncontrollable inputs disturb the system. The control law (u = Fx ⊕ v) is designed in order to take into account the disturbance effects in an optimal manner with regards to the just-in-time criterion. This problem is reminiscent of the disturbance decoupling control problem for classical linear systems.