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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.4 P.623~628

http://doi.org/10.1631/jzus.2006.A0623


Synthesis of Petri net supervisors enforcing general constraints


Author(s):  Zhang Yao-yao, Yan Gang-feng

Affiliation(s):  School of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   flyingyaoyao@hotmail.com

Key Words:  Petri net, Supervisor control, Parikh vector, Uncontrollable, Unobservable


Zhang Yao-yao, Yan Gang-feng. Synthesis of Petri net supervisors enforcing general constraints[J]. Journal of Zhejiang University Science A, 2006, 7(4): 623~628.

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author="Zhang Yao-yao, Yan Gang-feng",
journal="Journal of Zhejiang University Science A",
volume="7",
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pages="623~628",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A0623"
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%A Yan Gang-feng
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%DOI 10.1631/jzus.2006.A0623

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T1 - Synthesis of Petri net supervisors enforcing general constraints
A1 - Zhang Yao-yao
A1 - Yan Gang-feng
J0 - Journal of Zhejiang University Science A
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EP - 628
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A0623


Abstract: 
This paper deals with the synthesis of petri net supervisor enforcing the more expressive constraints including marking terms, firing vector terms and parikh vector terms. The method is developed to handle uncontrollable and unobservable transitions existing in the constraints. The “greater-than or equal” general constraints can also be transformed into “less-than or equal” Parikh constraints. An example is analyzed to show how the problem is solved. General constraint is first transformed into parikh vector constraints, and Matrix-Transformation is proposed to obtain the admissible constraints without uncontrollable and unobservable transitions. Then the supervisor can be constructed based on constraints only consisting of parikh vector terms. The method is proved to be more concise and effective than the method presented by Iordache and Moody especially when applied to large scale systems.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[2] Giua, A., Dicesare, F., Silva, M., 1992. Generalized Mutual Exclusion Constraints on Nets with Uncontrollable Transitions. Proceeding of IEEE International Conference on Systems, Man & Cybernetics, p.974-979.

[3] Holloway, L.E., Krogh, B.H., 1990. Synthesis of feedback control logic for a class of controlled Petri nets. IEEE Trans. on Automatic Control, 35(5):514-523.

[4] Iordache, U.V., Antsaklis, P.J., 2002. Synthesis of Supervisors Enforcing General Linear Vector Constraints in Petri Nets. American Control Conference, p.154-159.

[5] Iordache, U.V., Antsaklis, P.J., 2003. Synthesis of supervisors enforcing general linear constraints in Petri nets. IEEE Trans. on Automatic Control, 48(11):2036-2039.

[6] Li, Y., Wonham, W., 1994. Control of vector discrete-event systems II—Controller synthesis. IEEE Trans. on Automatic Control, 39(3):512-530.

[7] Moody, J., Antsaklis, P., 2000. Petri net supervisors for DES with uncontrollable and unobservable transitions. IEEE Trans. on Automatic Control, 45(3):462-472.

[8] Murata, T., 1989. Petri nets: Properties, analysis and applications. Proceeding of the IEEE, 77(4):541-580.

[9] Wang, S.G., Yan, G.F., 2005. A novel method of design of Petri net controller enforcing general linear constraints. Journal of Software, 16(3):960-967.

[10] Wu, W.M., Dong, L.D., Wang, X., Su, H.Y., Chu, J., 2003. Combined Petri nets controller for discrete event system. Acta Automatica Sinica, 29(5):681-688.

[11] Yamalidou, E., Moody, J.O., Antsaklis, P.J., Lemmon, M.D., 1996. Feedback control of Petri nets based on place invariants. Automatica, 32(1):15-28.

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