Geodesic
Construction and Verification of PLC LD-programs by LTL-specification
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 6, pp. 78-94.

Voir la notice de l'article provenant de la source Math-Net.Ru

An approach to construction and verification of PLC LD-programs for discrete problems is proposed. For the specification of the program behavior, we use the linear-time temporal logic LTL. Programming is carried out in the LD-language (Ladder Diagram) according to an LTL-specification. The correctness analysis of an LTL-specification is carried out by the symbolic model checking tool Cadence SMV. A new approach to programming and verification of PLC LD-programs is shown by an example. For a discrete problem, we give a LD-program, its LTL-specification and an SMV-model. The purpose of the article is to describe an approach to programming PLC, which would provide a possibility of LD-program correctness analysis by the model checking method. Under the proposed approach, the change of the value of each program variable is described by a pair of LTL-formulas. The first LTL-formula describes situations which increase the value of the corresponding variable, the second LTL-formula specifies conditions leading to a decrease of the variable value. The LTL-formulas (used for specification of the corresponding variable behavior) are constructive in the sense that they construct the PLC-program (LD-program), which satisfies temporal properties expressed by these formulas. Thus, the programming of PLC is reduced to the construction of LTL-specification of the behavior of each program variable. In addition, an SMV-model of a PLC LD-program is constructed according to LTL-specification. Then, the SMV-model is analysed by the symbolic model checking tool Cadence SMV.
Keywords: programmable logic controllers, software engineering, specification and verification of PLC-programs, Ladder Diagram. 
@article{MAIS_2013_20_6_a5,
     author = {E. V. Kuzmin and V. A. Sokolov and D. A. Ryabukhin},
     title = {Construction and {Verification} of {PLC} {LD-programs} by {LTL-specification}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {78--94},
     publisher = {mathdoc},
     volume = {20},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a5/}
}
TY  - JOUR
AU  - E. V. Kuzmin
AU  - V. A. Sokolov
AU  - D. A. Ryabukhin
TI  - Construction and Verification of PLC LD-programs by LTL-specification
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2013
SP  - 78
EP  - 94
VL  - 20
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a5/
LA  - ru
ID  - MAIS_2013_20_6_a5
ER  - 
%0 Journal Article
%A E. V. Kuzmin
%A V. A. Sokolov
%A D. A. Ryabukhin
%T Construction and Verification of PLC LD-programs by LTL-specification
%J Modelirovanie i analiz informacionnyh sistem
%D 2013
%P 78-94
%V 20
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a5/
%G ru
%F MAIS_2013_20_6_a5
E. V. Kuzmin; V. A. Sokolov; D. A. Ryabukhin. Construction and Verification of PLC LD-programs by LTL-specification. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 6, pp. 78-94. http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a5/

[1] Kuzmin E. V., Sokolov V. A., Ryabukhin D. A., “Construction and Verification of PLC-programs by LTL-specification”, Modeling and analysis of information systems, 20:4 (2013), 5–22 (in Russian) | MR

[2] Kuzmin E. V., Ryabukhin D. A., Shipov A. A., “Construction and Verification of PLC-programs by LTL-specification”, Tools and Methods of Program Analysis, Proc. of Int. Conf. TMPA-2013, KSTU, Kostroma, 2013, 17–34 (in Russian)

[3] Kuzmin E. V., Sokolov V. A., “Modeling, Specification and Construction of PLC-programs”, Modeling and analysis of information systems, 20:2 (2013), 104–120 (in Russian)

[4] Kuzmin E. V., Sokolov V. A., “On Construction and Verification of PLC-Programs”, Modeling and analysis of information systems, 19:4 (2012), 25–36 (in Russian)

[5] Kuzmin E. V., Sokolov V. A., “On Verification of PLC-Programs Written in the LD-Language”, Modeling and analysis of information systems, 19:2 (2012), 138–144 (in Russian) | MR

[6] Petrov I. V., Programmiruemye kontrollery. Standartnye jazyki i priemy prikladnogo proektirovanija, SOLON-Press, M., 2004, 256 pp. (in Russian)

[7] E. M. Clark, O. Grumberg, D. A. Peled, Model Checking, The MIT Press, 2001

[8] CoDeSys. Controller Development System http://www.3s-software.com/

[9] E. A. Parr, Programmable Controllers. An engineer's guide, Newnes, 2003, 442 pp.

[10] SMV. The Cadence SMV Model Checker http://www.kenmcmil.com/smv.html