Observer-based detection and localization of time shift failures in (max,+)-linear systems

This paper addresses a problem of failure detection and localization in production lines modeled, through Timed Event Graphs (TEG), as (max,+) linear systems with disturbances, over which observers can be developed. The state of the observed system is estimated and an indicator that returns true if a time shift failure is detected is defined. The localization step is proposed for elementary structures of TEG through the results of the detection.