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On Preserving Observation Properties of the Reduced Supervisor in Discrete-Event Systems

2017/03/03 by Vahid Saeidi, Saeidi, Vahid, Ali A. Afzalian +3
Computer Science · Engineering · #FOS: Electrical engineering #Flexible and Reconfigurable Manufacturing Systems #Petri Nets in System Modeling #Real-Time Systems Scheduling #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1703.01042

openalex publication_date 2017/03/03 · openalex created_date 2017/04/14 · openalex updated_date 2026/07/28

Abstract

Supervisor reduction procedure can be used to construct the reduced supervisor with a reduced number of states in discrete-event systems. The main concepts which are used in this procedure are control consistency of states, control cover, induced supervisor, and normality of the reduced supervisor w.r.t. the original supervisor. In this paper, it is proved that the reduced supervisor, constructed by the proposed method in [9], preserves the observation properties, i.e. normality and relative observability, by self looping corresponding unobservable events at some states of the reduced supervisor. This property can be applied to find a natural projection, under which the supervisor is relative observable.

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