The use of Petri nets in the study of networked control systems
Authors: Yuness S., Lobusov E.S.
Published in issue: #7(91)/2019
DOI: 10.18698/2308-6033-2019-7-1885
Category: Mechanics | Chapter: Dynamics, Strength of Machines, Instruments, and Equipment
The use of communication networks in control systems has several important advantages, such as the ability of information transfer and remote control of various objects, the possibility of modifications and maintenance. On the other hand, the time between reading measurements from the sensor and sending a control signal to the actuator depends on the network characteristics (topology and routing scheme), and such a time delay can greatly affect the overall network performance. Delays, distortions and loss of transmitted data not only degrade the performance of the network management system, but also destabilize it. The paper considers the use of Petri nets as a method for modeling networked control systems (NCS) on the example of designing an active suspension control system for a car. When modeling, the star and common bus topologies were used, the comparison of which revealed that control systems with the common bus topology function 40% faster than systems with the star topology.
References
[1] Alur R., Arzen K.E., Henzinger.T.A. Handbook of networked and embedded control systems. Springer Science & Business Media, 2007, vol. 1, pp. 200–210.
[2] Reif K., Schmidt K., Gesele F., Reichelt S. Networked control systems in motor vehicles. ATZ elektronik worldwide, 2008, vol. 3 (4), pp. 18–23. DOI: 10.1007/BF03242181
[3] Zaitsev D.A., Shmeleva T.R. Switched ethernet response time evaluation via colored petri net model. International Middle Eastern Multiconference on Simulation and Modelling, IEEE, Alexandria, Egypt, August 28, 2006, pp. 68–77.
[4] Bago P.N., Marijan S. Modeling Bus Communication Protocols Using Timed Colored Petri Nets — The Controller Area Network Example. Ninth Workshop and Tutorial on Practical Use of Coloured Petri Nets and the CPN Tools. Elektrotehnika, Temeljne tehničke znanosti, Aarhus, Denmark, October 20–22, 2008, pp. 103–121.
[5] Seatzu C., Giua A. A systems theory view of Petri nets. Advances in control theory and applications. Springer, 2007, pp. 99–127. DOI: 10.1007/978-3-540-70701-1_6
[6] Marsal G., Denis B., Faure J.M., Frey .G. Evaluation of response time in Ethernet-based automation systems. Eleventh IEEE International Conference on Emerging Technologies and Factory Automation (ETFA'06). Prague, September 20–22, 2006, pp. 380–387.
[7] Zhou J.Qx. Petri net modeling and performance analysis of can fieldbus. Doctoral dissertation. New Jersey Institute of Technology, Department of Electrical and Computer Engineering, 1998, pp. 72–81.
[8] Hu H., Cui R., Wei X., VHDL implementation of CAN fieldbus modeling based on Petri nets. Electronic Measurement & Instruments. Ninth Int. Conf, IEEE (ICEMI'09). Beijing, China, 2009, August 16–19, vol. 1, pp. 1070–1073.
[9] Gaid M. B., Cela A., Hamam Y. Optimal integrated control and scheduling of systems with communication constraints. Proceedings of the 44th IEEE Conference on Decision and Control. IEEE, 2005, pp. 854–859.
[10] Ikenaga S., Lewis F.L, Davis L. Active suspension control of ground vehicle based on a full-vehicle model. American Control Conference, IEEE, Chicago, Illinois, USA, 2000, June 28–30, vol. 6, pp. 4019–4024.