First-order hybrid Petri nets are models that consist of continuous places
holding fluid, discrete places containing a non-negative integer number of
tokens, and transitions, either discrete or continuous. In the first part o
f the paper, we provide a framework to describe the overall hybrid net beha
viour that combines both time-driven and event-driven dynamics. The resulti
ng model is a linear discrete-time, time-varying state variable model that
can be directly used by an efficient simulation tool. In the second part of
the paper, we focus on manufacturing systems. Manufacturing systems are di
screte-event dynamic systems whose number of reachable states is typically
very large, hence approximating fluid models have often been used in this c
ontext. We describe the net models of the elementary components of a flexib
le manufacturing system (machines and buffers) and we show in a final examp
le how these modules can be put together in a bottom-up fashion.