In this paper, Hybrid Petri Nets are proposed as a modelling methodology to control production in a large class of manufacturing processes. A hybrid Petri net (HPN) is a combination of a ‘classical’ Petri net and a continuous Petri net, the ‘fluid’ version of a timed Petri net. The two parts of an HPN can affect each other. In the particular model proposed, the discrete part of the HPN ‘regulat...

In this paper, a class of timed Petri nets, named programmable timed Petri nets is used to model and study switched hybrid systems. Supervisory control of a hybrid system in which the continuous state is transfered to a region of the state space in a way that respects safety specifications on the plant’s discrete and continuous dynamics is examined. The approach is illustrated using a power sys...

Petri nets have widely been applied in different aspect of modelling, qualitative, quantitative analysis, supervisory and coordinate control, scheduling, planning, and hybrid system design of batch processes. The paper presents an example which shows how to use Petri nets to model and analysis a realistic batch plant. The modular modelling method is adopted to model a real batch processing plan...

This paper presents an approach of model-based diagnosis for the health monitoring of hybrid systems. These systems have both continuous and discrete dynamics. Modified Particle Petri Nets, initially defined in the context of hybrid systems mission monitoring, are extended to estimate the health state of hybrid systems. This formalism takes into account both uncertainties about the system knowl...

CRC cards are unconventional method for identifying and describing classes, behavior and its responsibilities and collaborators of class. Representation of three categories of class, responsibilities and collaborators can give proper image of scenario. These cards are effective method for analyzing scenarios. With all positive features of CRC cards, of weaknesses of these cards are failure to s...

Computational steering is an interactive remote control of a long running application. The user can adopt it to adjust the simulation parameters on the fly. Correspondingly, simulation of large scale biochemical networks is computationally expensive, particularly stochastic and hybrid simulation. Such extremely intensive computations necessitate an interactive mechanism to permit users to try d...

Predicting and studying the dynamics and properties of environmental systems necessitates the construction and simulation of mathematical models entailing different levels of complexities. Such type of computational experiments often require the combination of discrete and continuous variables as well as processes operating at different time scales. Furthermore, the iterative steps of construct...

This paper reviews the research work on Petri nets representations and the AI based search approaches. It coves the following contents: 1) Petri nets (PN) and PN modeling of manufacturing systems; 2) Scheduling using PN and AI search and PN based scheduling of flexible manufacturing systems using hybrid heuristic search; 3) PN based planning; 4) Closed-loop control using PN; 5) Rule-based PN an...

Two formal stochastic models are said to be bisimilar if their solutions as a stochastic process are probabilistically equivalent. Bisimilarity between two stochastic model formalisms means that the strengths of one stochastic model formalism can be used by the other stochastic model formalism. The aim of this paper is to explain bisimilarity relations between stochastic hybrid automata, stocha...

Petri nets have been widely used to model and analyze biochemical reaction networks. This chapter gives an overview of di↵erent types of Petri nets within a unifying Petri net framework that comprises the qualitative, stochastic, continuous and hybrid paradigms at both uncolored and colored levels. The Petri net framework permits to investigate one and the same biological reaction network with ...