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Stability of Positive Systems in WSN Gateway for IoT&IIoT

  • Jolanta Mizera-PietraszkoEmail author
  • Jolanta Tancula
Conference paper
Part of the Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering book series (LNICST, volume 300)

Abstract

Modern sensor networks work on the basis of intelligent sensors and actuators, their connection is carried out using conventional or specifically dedicated networks. The efficiency and smooth transmission of such a network is of great importance for the accuracy of measurements, sensor energy savings, or transmission speed. Ethernet in many networks is typically based on the TCP/IP protocol suite. Regardless of whether or not the network transmission is wired or wireless, it should always be reliable. TCP ensures transmission reliability through retransmissions, congestion control and flow control. But TPC is different in networks based on the UDP protocol. The most important here is the transmission speed achieved by shortening the header or the lack of an acknowledgment mechanism. Assuming the network is an automatic control system, it has interconnected elements that interact with each other to perform some specific tasks such as speed control, reliability and security of transmission, just the attributes that define stability being one of the fundamental features of control systems. Such a system returns to equilibrium after being unbalanced. There are many definitions of stability, e.g. Laplace or Lupanov. To check the stability of the sensor network connected to the Internet, different stability criteria should be used. We are going to analyze the stability of a computer network as a dynamic linear system, described by the equations known in the literature. In this paper, we propose the method of testing stability for positive systems using the Metzlner matrix in sensor networks such as IoT or IIoT. We will carry out tests in a place where wide area networks connect to sensor networks, that is in gates.

Keywords

Wireless sensor networks Network system stability Industrial IoT Metzler matrix Software testing methodology 

References

  1. 1.
    Kaczorek, T.: Positive 1D and 2D Systems. Communication and Control Engineering, p. 273. Springer, Heidelberg (2002).  https://doi.org/10.1007/978-1-4471-0221-2zbMATHCrossRefGoogle Scholar
  2. 2.
    Buslowicz, M.: Robust stability of positive continous-time linear systems with delays. Int. J. Math. Comput. Sci. 20(4), 665–670 (2010)MathSciNetzbMATHGoogle Scholar
  3. 3.
    Hollot, C.V., Misra, V., Towsley, D., Gong, W.B.: Analysis and design of controllers for AQM routers supporting TCP flows. IEEE Syst. Control Methods Commun. Netw. 49(6), 945–959 (2002)MathSciNetzbMATHGoogle Scholar
  4. 4.
    Klamka, J., Tancula, J..: Examination of robust stability of computer networks. In: 6-th Conference Performance Modelling and Evaluation of Heterogeneous Networks. Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences, Zakopane (2012)Google Scholar
  5. 5.
    Mizera-Pietraszko J., Tancula J., Huk M.: Improving scalability of web applications based on stability of the network with the use of controller PI. In: CYBCONF, p. 520. IEEE Computer Society, Gdynia (2015)Google Scholar
  6. 6.
    Farrell, S.: Low-Power Wide Area Network (LPWAN) Overview. IETF, Rfc 8376, Dublin, Ireland (2018)Google Scholar
  7. 7.
    Cheong, P.S., Bergs, J., Hawinkel, Ch., Famaey, J.: Comparison of LoRaWAN classes and their power consumption. In: 2017 IEEE Symposium on Communications and Vehicular Technology (SCVT). IEEE Computer Society (2017)Google Scholar
  8. 8.
    Elkhodr, M., Shahrestani, S., Cheung, H.: Emerging wireless technologies in the Internet of things: a comparative study. IJWMN. Preprint ArXiv (2016)  https://doi.org/10.5121/ijwmn.2016.8505CrossRefGoogle Scholar
  9. 9.
    ZigBee specification: Zigbee Alliance, ZigBee Standards Organization, Document No. 053474r20, San Ramon, CA, p. 620 (2012)Google Scholar
  10. 10.
    LoRaWAN - What is it? A technical overview of LoRa and LoRaWAN. LoRa Alliance, Technical Marketing Group, p. 20 (2015)Google Scholar
  11. 11.
    Kochhar, A., Kaur, P., Singh, P., Sharma, S.: Protocols for wireless sensor networks: a survey. J. Telecommun. Inform. Technol. 1, 77–87 (2018)Google Scholar
  12. 12.
    Mikhaylov, K., Petaejaejaervi, J., Haenninen, T.: Analysis of capacity and scalability of the LoRa low power wide area network technology. In: Proceedings of the European Wireless 2016 22th European Wireless Conference, Oulu, Finland (2016)Google Scholar
  13. 13.
    Capuzzo, M., Magrin, D., Zanella, A.: Confirmed traffic in LoRaWAN: pitfalls and countermeasures. In: Proceedings of the 2018 17th Annual Mediterranean Ad Hoc Networking Workshop (Med-Hoc-Net), Capri, Italy (2018)Google Scholar
  14. 14.
    Slabicki, M., Premsankar, G., Di Francesco, M.: Adaptive configuration of lora networks for dense IoT deployments. In: Proceedings of the 16th IEEE/IFIP Network Operations and Management Symposium (NOMS 2018), Taipei, Taiwan (2018)Google Scholar
  15. 15.
    Reynders, B., Wang, Q., Tuset-Peiro, P., Vilajosana, X., Pollin, S.: Improving reliability and scalability of LoRaWANs through lightweight scheduling. IEEE Internet Things J. 5, 1830–1842 (2018)CrossRefGoogle Scholar
  16. 16.
    Oh, Y., Lee, J., Kim, C.K.: TRILO: A Traffic indication-based downlink communication protocol for LoRaWAN. Wirel. Commun. Mob. Comput. 2018, 14 (2018).  https://doi.org/10.1155/2018/6463097. Article ID 6463097CrossRefGoogle Scholar

Copyright information

© ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 2020

Authors and Affiliations

  1. 1.Opole UniversityOpolePoland

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