Abstract
This paper presents the concept and formulation of a signed real measure of regular languages for analysis of discrete-event supervisory control systems. The measure is constructed based upon the principles of language theory and real analysis for quantitative evaluation and comparison of the controlled behaviour for discrete-event automata. The marked (i.e. accepted) states of finite-state automata are classified in different categories such that the event strings terminating at good and bad marked states have positive and negative measures, respectively. In this setting, a controlled language attempts to disable as many bad strings as possible and as few good strings as possible. Different supervisors may achieve this goal in different ways and generate a partially ordered set of controlled languages. The language measure creates a total ordering on the performance of the controlled languages, which provides a precise quantitative comparison of the controlled plant behaviour under different supervisors. Total variation of the language measure serves as a metric for the space of sublanguages of the regular language.
Original language | English (US) |
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Pages (from-to) | 1800-1808 |
Number of pages | 9 |
Journal | International Journal of Control |
Volume | 76 |
Issue number | 18 |
DOIs | |
State | Published - Dec 15 2003 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications