Similarity-Based Supervisory Control of Discrete Event Systems

Details Similarity-Based Supervisory Control of Discrete Event Systems Similarity-Based Supervisory Control of Discrete Event Systems

2004-10-14

arxiv.org/abs/cs/0410031v2

A short version has been published in the IEEE Transactions on Automatic Control, 51(2), pp. 325-330, February 2006.

Computer Science

Discrete Mathematics

22 pages, 5 figures

Scientific paper

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 $\ld$-controllability, where $\ld$ indicates the similarity degree of two languages. A necessary and sufficient condition for a language to be $\ld$-controllable is provided. We then examine some properties of $\ld$-controllable languages and present an approach to optimizing a realization.

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