Fuzzy control of variable speed continuous Petri nets

Hennequin, Sophie; Lefebvre, Dimitri; Moudni, Abdellah El

doi:10.1109/cdc.1999.830136

Cited by 15 publications

(6 citation statements)

References 5 publications

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“…Fuzzy control (Hennequin et al 1999) The authors showed that the flow of a fluid transition, under infinite server semantics with an implicit self-loop, can be represented as the output of two fuzzy rules under the Sugeno model. It was proved that if the integral of the output of each fuzzy rule converges to a finite value then the resulting global fuzzy system (that represents the controlled flow) converges as well.…”

Section: Control When All the Transitions Are Controllablementioning

confidence: 99%

On fluidization of discrete event models: observation and control of continuous Petri nets

Silva

Júlvez

Mahulea

et al. 2011

Discrete Event Dyn Syst

101

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As a preliminary overview, this work provides first a broad tutorial on the fluidization of discrete event dynamic models, an efficient technique for dealing with the classical state explosion problem. Even if named as continuous or fluid, the relaxed models obtained are frequently hybrid in a technical sense. Thus, there is plenty of room for using discrete, hybrid and continuous model techniques for logical verification, performance evaluation and control studies. Moreover, the possibilities for transferring concepts and techniques from one modeling paradigm to others are very significant, so there is much space for synergy. As a central modeling paradigm for parallel and synchronized discrete event systems, Petri nets (PNs) are then considered in much more detail. In this sense, this paper is somewhat complementary to David and Alla (2010). Our presentation of fluid views or approximations of PNs has sometimes a flavor of a survey, but also introduces some new ideas or techniques. Among the aspects that distinguish the adopted approach are: the focus on the relationships between discrete and continuous PN models, both for untimed, i.e., fully non-deterministic abstractions, and timed versions; the use of structure theory of (discrete) PNs, algebraic and graph based concepts and results; and the bridge to Automatic Control Theory. After discussing observability and controllability issues, the most technical part in this work, the paper concludes with some remarks and possible directions for future research.

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Section: Control When All the Transitions Are Controllablementioning

confidence: 99%

On fluidization of discrete event models: observation and control of continuous Petri nets

Silva

Júlvez

Mahulea

et al. 2011

Discrete Event Dyn Syst

101

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“…Many works can be found in the literature about the control of different classes of timed CPN, e.g., [4][5][6]. For the kind of timed CPN under infinite server semantics, several control approaches have been considered.…”

Section: Related Workmentioning

confidence: 99%

Minimum-time decentralized control of Choice-Free continuous Petri nets

Wang

Mahulea

Júlvez

et al. 2013

Nonlinear Analysis: Hybrid Systems

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“…Timed continuous Petri nets (TCPNs) are continuous-state systems that have demonstrated to be useful for modelling biological systems (Ross-León, Ramírez-Treviño, Alejandro Morales, & Ruiz-León, 2010), traffic systems (Júlvez & Boel, 2010;Tolba, Lefebvre, Thomas, & El Moudni, 2005), manufacturing systems (Amrah, Zerhouni, & El-Moudni, 1997;Jiménez & Pérez, 2004;Lefebvre, 1999), etc. Furthermore, TCPNs can be seen (as originally introduced) as continuous relaxations of discrete Petri net (PN) models (David & Alla, 1987), defined in order to overcome the state explosion problem in highly populated systems (with many resources, clients, messages, parts, etc., see for instance (David & Alla, 2010;Silva, Júlvez, Mahulea, & Vázquez, 2011;Silva & Recalde, 2004).…”

Section: Introductionmentioning

confidence: 99%

Controllability of timed continuous Petri nets with uncontrollable transitions

Vázquez

Ramírez-Treviño

Silva³

2013

International Journal of Control

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This paper is concerned with controllability of Timed Continuous Petri nets, under infinite server semantics, with uncontrollable transitions, which are a class of hybrid systems (piecewise-linear). This class of hybrid systems is suitable for representing biological systems, high traffic information networks, heavily loaded supply chains, etc. By adopting a Control Theory approach, the contribution of this paper is the characterisation of controllability over sets of equilibrium markings (potential equilibrium points), first inside a single marking region (or linear mode) and later extended to several regions.

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Fuzzy control of variable speed continuous Petri nets

Cited by 15 publications

References 5 publications

On fluidization of discrete event models: observation and control of continuous Petri nets

On fluidization of discrete event models: observation and control of continuous Petri nets

Minimum-time decentralized control of Choice-Free continuous Petri nets

Controllability of timed continuous Petri nets with uncontrollable transitions

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