Title :
State uncertainty analysis of Fuzzy Timed DES
Author :
González-Castolo, Juan Carlos ; López-Mellado, Ernesto
Author_Institution :
CUCEA, UdeG, Zapopan, Mexico
Abstract :
This paper addresses state estimation of discrete event systems (DES) exhibiting variations on the duration of activities; the system state is approximated by the marking of Fuzzy Timed Petri Net (FTPN) models. For this purpose a definition of FTPN is presented in which fuzzy sets associated to places represent the ending time uncertainty of activities. A fuzzy marking matrix equation is proposed, allowing computing the marking evolution of cyclic FTPN. Finally, the uncertainty of the estimated marking is evaluated as a measure of quality on the approximation.
Keywords :
Petri nets; approximation theory; discrete event systems; fuzzy set theory; matrix algebra; state estimation; uncertain systems; cyclic FTPN; discrete event systems; fuzzy marking matrix equation; fuzzy sets; fuzzy timed DES; fuzzy timed Petri net models; state estimation; state uncertainty analysis; Approximation methods; Computational modeling; Equations; Fuzzy sets; Mathematical model; State estimation; Uncertainty;
Conference_Titel :
Automation Science and Engineering (CASE), 2011 IEEE Conference on
Conference_Location :
Trieste
Print_ISBN :
978-1-4577-1730-7
Electronic_ISBN :
2161-8070
DOI :
10.1109/CASE.2011.6042418
