On-line identification of language measure parameters for discrete event supervisory control

The concept and construction of quantitative measures of regular languages have been recently reported in literature. Major applications of the language measure include quantitative analysis and synthesis of discrete-event supervisory control algorithms. This paper formulates and experimentally validates an on-line parameter identification procedure for the language measure based on a deterministic finite state automation model of the physical plant. The recursive algorithm of this identification procedure relies on observed simulation and/or experimental data. Efficacy of the language parameter identification procedure is demonstrated for real-time supervisory control by experiments on a mobile robotic system.