1998•IEEE Transactions on Automatic ControlRequires access

Online supervisor synthesis for partially observed discrete-event systems

Joseph H. Prosser, Moshe Kam, Harry G. Kwatny

Open publisher page 25 citations

Abstract

A partial information supervisor that generates a class of closed controllable and observable sublanguages of a specified "legal" language is presented. This supervisor has the following features: 1) it can be implemented online (i.e., the disabled event set need only be computed once upon each event observation); 2) the computations of the disabled event set can be performed in O(mn) worst case complexity, where a is the number of states in the legal language generator and m is the number of events; 3) an online supervisor presented previously by Heymann and Lin (1993) is a special case of the new supervisor; and 4) all the languages generated by the new supervisor contain the supremal closed controllable and normal (supCCN) sublanguage of the legal language (in fact, they contain a language developed by Fa et al. (1993) that was shown to contain the supCCN sublanguage).

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What this paper is about

A partial information supervisor that generates a class of closed controllable and observable sublanguages of a specified "legal" language is presented. This supervisor has the following features: 1) it can be implemented online (i.e., the disabled event set need only be computed once upon each event observation); 2) the computations of the disabled event set can be performed in O(mn) worst case complexity, where a is the number of states in the legal language generator and m is the number of events; 3) an online supervisor presented previously by Heymann and Lin (1993) is a special case of the new supervisor; and 4) all the languages generated by the new supervisor contain the supremal closed controllable and normal (supCCN) sublanguage of the legal language (in fact, they contain a language developed by Fa et al. (1993) that was shown to contain the supCCN sublanguage).

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Available abstract

A partial information supervisor that generates a class of closed controllable and observable sublanguages of a specified "legal" language is presented. This supervisor has the following features: 1) it can be implemented online (i.e., the disabled event set need only be computed once upon each event observation); 2) the computations of the disabled event set can be performed in O(mn) worst case complexity, where a is the number of states in the legal language generator and m is the number of events; 3) an online supervisor presented previously by Heymann and Lin (1993) is a special case of the new supervisor; and 4) all the languages generated by the new supervisor contain the supremal closed controllable and normal (supCCN) sublanguage of the legal language (in fact, they contain a language developed by Fa et al. (1993) that was shown to contain the supCCN sublanguage).

Key concepts: Sublanguage, Supervisor, Event (particle physics), Regular language, Observability, Computer science, Supervisory control, Set (abstract data type)

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