Detection Of Time Shift Failures In (Max, Plus )-Linear Systems With Time Intervals Applied To The Supervision Of Assembly Lines

In this paper, we address the problem of failure detection in assembly lines modeled as Timed Event Graphs (TEG). The proposed method represents TEGs as (max,+)-linear systems with time intervals and aims at detecting time shift failures in the underlying assembly lines. To do so, we propose the definition of a set of indicators relying on the residuation theory on (max,+) linear systems that handle certain and uncertain observable outputs.