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Modeling and Analysis of Network Control System Based on Hierarchical Coloured Petri Net and Markov Chain

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  • Jingdong Li
  • Zhangang Wang
  • Liankun Sun
  • Wanru Wang
  • Zi-Peng Wang

Abstract

This paper investigates a modified modeling of networked control systems (NCSs) with programmable logic controller (PLC). First, the controller-to-actuator and sensor-to-controller network-induced delays are investigated by a modeling tactics based on hierarchical coloured petri net (HCPN) in a structure-conserving way. Comparing with the recent result, the signal transmission delay is set in a random interval instead of a fixed mode; moreover, the data packet drop out and disorder are also taken into consideration. Second, delays captured form CPN tools are analyzed with a strategy based on Baum–Welch algorithm and statistics science. Besides, time delays are modeled as a Markov chain and the transition probabilities is calculated using the consequent from the previous operation. Finally, a comparison verification illustrates the equivalence property between proposed models.

Suggested Citation

  • Jingdong Li & Zhangang Wang & Liankun Sun & Wanru Wang & Zi-Peng Wang, 2021. "Modeling and Analysis of Network Control System Based on Hierarchical Coloured Petri Net and Markov Chain," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-11, June.
    • Handle: RePEc:hin:jnddns:9948855
    DOI: 10.1155/2021/9948855
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