Computation of Language Measure Parameters for Discrete-Event Supervisory Control

A. Khatab and M. Nourelfath (Canada)


Manufacturing system, supervisory control, meaure, discrete event system, Markov chain


The concept and construction of signed real measure of regular languages have been recently developed in literature. This article formulates an analytical ap proach to determine the language measure parameters, namely a state transition cost matrix and a state cost vector. The proposed approach is based on the the ory of Markov stochastic processes. Kronecker algebra is used to facilitate the description of large systems, while minimizing memory requirements. It is shown, through a manufacturing example, how the formulated method may provide a systematic way for quantita tive evaluation and comparison of the discrete-event dynamic behaviour of the supervised plants.

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