2013
DOI: 10.1002/rnc.2958
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Event-driven model predictive control of timed hybrid Petri nets

Abstract: SUMMARY Hybrid Petri nets represent a powerful modeling formalism that offers the possibility of integrating, in a natural way, continuous and discrete dynamics in a single net model. Usual control approaches for hybrid nets can be divided into discrete‐time and continuous‐time approaches. Continuous‐time approaches are usually more precise, but can be computationally prohibitive. Discrete‐time approaches are less complex, but can entail mode‐mismatch errors due to fixed time discretization. This work proposes… Show more

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Cited by 13 publications
(5 citation statements)
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References 30 publications
(66 reference statements)
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“…Using systems and control theory to analyze and influence PNs is not uncommon in the literature [41,42], and also MPC techniques are used [43][44][45]. In the context of MPC for PNs, usually either continuous or hybrid PNs are considered from the start, or fluidification of the Petri Net is used, meaning that the integer constraint is relaxed and the tokens are considered to be a fluid.…”
Section: Model Predictive Controlmentioning
confidence: 99%
“…Using systems and control theory to analyze and influence PNs is not uncommon in the literature [41,42], and also MPC techniques are used [43][44][45]. In the context of MPC for PNs, usually either continuous or hybrid PNs are considered from the start, or fluidification of the Petri Net is used, meaning that the integer constraint is relaxed and the tokens are considered to be a fluid.…”
Section: Model Predictive Controlmentioning
confidence: 99%
“…26, see e.g. Júlvez et al (2014). Note that q(k) accounts for the time interval between two consecutive events while t the elapsed time.…”
Section: Train Gate Model and Constraintsmentioning
confidence: 99%
“…However, hybrid automata do not provide a suitable programming model for implementation. Related modeling paradigms, such as Petri nets [11,12] and Modelica [13], are mainly used for analysis and verification.…”
Section: Related Workmentioning
confidence: 99%