Article,

Similarity-Based Supervisory Control of Discrete-Event Systems

, and .
Automatic Control, IEEE Transactions on, 51 (2): 325--330 (2006)

Abstract

Due to the appearance of uncontrollable events in discrete-event systems, one may wish to replace the behavior leading to the uncontrollability of pre-specified language by some quite similar one. To capture this similarity, we introduce metric to traditional supervisory control theory and generalize the concept of original controllability to<tex>\$ lambda \$</tex>-controllability, where<tex>\$ lambda \$</tex>indicates the similarity degree of two languages. A necessary and sufficient condition for a language to be<tex>\$ lambda \$</tex>-controllable is provided. We then examine some properties of<tex>\$ lambda \$</tex>-controllable languages and present an approach to optimizing a realization.

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