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Control of Discrete-Event Systems pp 407–428Cite as

Continuous Petri Nets: Controllability and Control

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 433))

Abstract

Controllability is a property related to the capability of driving a system to any desirable (steady) state or state trajectory. As in discrete nets, continuous nets can be controlled by means of control actions applied on the transitions. For the sake of generality, the set of transitions is partitioned into controllable and uncontrollable; control actions can be applied only on controllable transitions. These actions may only reduce the flow of the uncontrolled model, because transitions (machines for example) cannot work faster than their nominal speed. Under this framework, the chapter overviews conditions for controllability, different control approaches for systems working under infinite server semantics and introduces a basic control method based on consensus for distributed systems.

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Author information

Authors and Affiliations

  1. Instituto de Investigación en Ingeniería en Aragón (I3A), University of Zaragoza, Zaragoza, Spain

    Jorge Júlvez, C. Renato Vázquez, Cristian Mahulea & Manuel Silva

Authors
  1. Jorge Júlvez
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  2. C. Renato Vázquez
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  3. Cristian Mahulea
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  4. Manuel Silva
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Corresponding author

Correspondence to Jorge Júlvez .

Editor information

Editors and Affiliations

  1. , Department of Electrical, University of Cagliari, Piazza D'Armi, Cagliari, 09124, Italy

    Carla Seatzu

  2. , Department of Computer Science, University of Zaragoza, Calle María de Luna 1, Zaragoza, 50018, Spain

    Manuel Silva

  3. Centrum Wiskunde & Informatica, Amsterdam, 1090 GB, Netherlands

    Jan H. van Schuppen

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Júlvez, J., Vázquez, C.R., Mahulea, C., Silva, M. (2013). Continuous Petri Nets: Controllability and Control. In: Seatzu, C., Silva, M., van Schuppen, J. (eds) Control of Discrete-Event Systems. Lecture Notes in Control and Information Sciences, vol 433. Springer, London. https://doi.org/10.1007/978-1-4471-4276-8_20

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  • DOI: https://doi.org/10.1007/978-1-4471-4276-8_20

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4275-1

  • Online ISBN: 978-1-4471-4276-8

  • eBook Packages: EngineeringEngineering (R0)

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