Approximating State of DES Using Fuzzy Timed Petri Nets

Juan Carlos González-Castolo, Ernesto López-Mellado · 2007

This paper addresses state estimation of discrete event systems (DES) modeled by fuzzy timed Petri nets (FTPN). A definition of FTPN in which fuzzy sets, associated to places, represent the ending time uncertainty of activities is presented; then the fuzzy state equation composed by a set of matrix expressions is developed, allowing computing the marking evolution of DES exhibiting cyclic behavior. A method for approximating the marking of strongly connected state machines is proposed.

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