Abstract
We consider the following problem: For a system consisting of two submodules, the behavior of one submodule is known as well as the desired behavior S of the global system. What should be the behavior of the second submodule such that the behavior of the composition of the two submodules conforms to S? - This problem has also been called “equation solving”, and in the context of supervisory control, it is the problem of designing a suitable controller (second submodule) which controls a given system to be controlled (first submodule). Solutions to this problem have been described by different authors for various assumptions about the underlying communication mechanisms and conformance relations. We present a generalization of this problem and its solution using concepts from relational database theory. We also show that several of the existing solutions are special cases of our general formulation
This work was partly supported by a research grant from the Natural Sciences and Engineering Research Council of Canada.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Abiteboul, R. Hull and V. Vianu, Foundations of Databases, Addison-Wesley, 1995.
G. v. Bochmann and P. M. Merlin, On the construction of communication protocols, ICCC, 1980, pp. 371–378, reprinted in “Communication Protocol Modeling”, edited by C. Sunshine, Artech House Publ., 1981; russian translation: Problems of Intern. Center for Science and Techn. Information, Moscow, 1981, no. 2, pp. 146–155.
G. v. Bochmann, Submodule construction-the inverse of composition, Technical Report, Sept. 2001, University of Ottawa.
B. A. Brandin and W. M. Wonham, Supervisory Control of Timed Discrete-Event Systems, IEEE Tran, on Automatic Control, Vol. 39, No. 2, Feb. 1994.
J. Drissi and G. v. Bochmann, Submodule construction tool, in Proc. Int. Conf. on Computational Intelligence for Modelling, Control and Automation, Vienne, Febr. 1999, (M. Mohammadian, Ed.), IOS Press, pp. 319–324.
J. Drissi and G. v. Bochmann, Submodule construction for systems of I/O automata, submitted for publication.
J. Drissi and G. v. Bochmann, Submodule construction for systems of timed I/O automata, submitted for publication, see also J. Drissi, PhD thesis, University of Montreal, March 2000 (in French).
E. Haghverdi and H. Ural, Submodule construction from concurrent system specifications, Information and Software Technology, Vo. 41 (1999), pp. 499–506.
C. A. R. Hoare, Communicating Sequential Processes, Prentice Hall, 1985.
S. G. H. Kelekar, Synthesis of protocols and protocol converters using the submodule construction approach, Proc. PSTV, XIII, A. Danthine et al (Eds), 1994.
T. Kim, T. Villa, K. Brayton, A.Sangiovanni-Vincentelli. Synthesis of FSMs: functional optimization. Kluwer Academic Publishers, 1997.
D. Maier, The Theory of Relational Databases, Computer Science Press, Rockville, Maryland, 1983.
O. Maler, A. Pnueli and J. Sifakis, On the synthesis of discrete controllers for timed systems, STACS 95, Annual Symp. on Theoretical Aspects of Computer Science, Berlin, 1995, Springer Verlag, pp. 229–242.
P. Merlin and G. v. Bochmann, On the Construction of Submodule Specifications and Communication Protocols, ACM Trans, on Programming Languages and Systems, Vol. 5, No. 1 (Jan. 1983), pp. 1–25.
J. Parrow, Submodule Construction as Equation Solving in CCS, Theoretical Computer Science, Vol. 68, 1989.
A. Petrenko, N. Yevtushenko, G. v. Bochmann and R. Dssouli, Testing in context: framework and test derivation, Computer Communications Journal, Special issue on Protocol engineering, Vol. 19, 1996, pp. 1236–1249.
A. Petrenko and N. Yevtushenko, Solving asynchronous equations, in Proc. ofIFIP FORTE/PSTV’98 Conf, Paris, Chapman-Hall, 1998.
H. Qin and P. Lewis, Factorisation of finite state machines under strong and observational equivalences, J. of Formal Aspects of Computing, Vol. 3, pp. 284–307, 1991.
P. J. G. Ramadge and W. M. Wonham, The control of discrete event systems, in Proceedings of the IEEE, Vo. 77, No. 1 (Jan. 1989).
Z. Tao, G. v. Bochmann and R. Dssouli, A formal method for synthesizing optimized protocol converters and its application to mobile data networks, Mobile Networks & Applications, vol. 2, no. 3, 1997, pp. 259–69. Publisher: Baltzer; ACM Press, Netherlands.
Z. P. Tao, G. v. Bochmann and R. Dssouli, A model and an algorithm of subsystem construction, in proceedings of the Eighth International Conference on parallel and distributed computing systems, Sept. 21–23, 1995 Orlando, Florida, USA, pp. 619–622.
J. G. Thistle, On control of systems modelled as deterministic Rabin automata, Discrete Event Dynamic Systems: Theory and Applications, Vol. 5, No. 4 (Sept. 1995), pp. 357–381.
N. Yevtushenko, T. Villa, R. Brayon, A. Petrenko, A. Sangiovanni-Vincentelli. Synthesis by language equation solving (exended abstract), in Proc. of Annual Intern.workshop on Logic Snthesis, 2000, 11–14; complete paper to be published in ICCAD’2001; see also Solving Equations in Logic Synthesis, Technical Report, Tomsk State University, Tomsk, 1999,27 p. (in Russian).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bochmann, G.v. (2002). Submodule Construction and Supervisory Control: A Generalization. In: Watson, B.W., Wood, D. (eds) Implementation and Application of Automata. CIAA 2001. Lecture Notes in Computer Science, vol 2494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36390-4_3
Download citation
DOI: https://doi.org/10.1007/3-540-36390-4_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00400-4
Online ISBN: 978-3-540-36390-3
eBook Packages: Springer Book Archive