Advertisement

Conditions for optimization of discrete event systems using temporal logic models

  • Dan Ionescu
The Automata Theoretic Approach
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 199)

Abstract

The optimization problem of DESs supervisors has been shown to have a solution if sufficient conditions are met. A measurement space and function have been define in order to properly formulate this problem. The A* algorithm generates the control such that the system move from the initial state to the final state with the least cost if the heuristic function is a measuring function and is a low bound of the event cost function.

Keywords

Optimal Control Problem Measurement Space Temporal Logic Optimal Path Discrete Event System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    H.A. Enderton, A Mathematical Introduction to Logic, Academic Press, New York, 1972.Google Scholar
  2. 2.
    E. Kreyzig, Introductory Functional Analysis with Applications, John Wiley, New York, 1978.Google Scholar
  3. 3.
    F. Lin, “A note on optimal supervisory control,” Proc. 1991 IEEE Int. Symposium on Intelligence Contr., Arlington, Virginia, Aug.13–15, 1991, pp.227–232.Google Scholar
  4. 4.
    J.-Y. Lin and D. Ionescu, “Verifying a class of nondeterministic discrete event systems in a generalized temporal logic framework,” IEEE Trans. Systems, Man and Cybernetics, vol.22, no.6, pp.1461–1469, 1992.Google Scholar
  5. 5.
    J.-Y. Lin and D. Ionescu, “A Reachability Synthesis Procedure for Discrete Event Systems in A Temporal Logic Framework,” to appear in vol.23 of IEEE Trans. Systems, Man and Cybernetics.Google Scholar
  6. 6.
    Z. Manna and A. Pnueli, “Verification of concurrent programs: A temporal proof system,” Foundations of Computer Science IV, Mathematical Centre Tracts 159, Mathematish Centrum, Amsterdam, pp.163–255, 1983.Google Scholar
  7. 7.
    K.M. Passino and P.J. Antsaklis, “On the optimal control of discrete event systems,” Proc. 28th IEEE Conf. Decision and Control, pp.2713–2718, 1989.Google Scholar
  8. 8.
    P.J. Ramadge and W.M. Wonham, “Supervisory control of a class of discrete event process,” SIAM J. Contr. Optimiz., 25, pp.206–230, 1987.CrossRefGoogle Scholar
  9. 9.
    R. Sengupta and S. Lafortune, “Optimal control of a class of discrete event systems”, Preprints of IFAC Int. Symposium on Distributed Intelligence Systems, Arlington, Virginia, August 13–15, 1991, pp.25–30.Google Scholar
  10. 10.
    J.G. Thistle and W.M. Wonham, “Control problems in a temporal logic framework,” Int. J. Control, 44, pp.943–976, 1986.Google Scholar

Copyright information

© Springer-Verlag London Limited 1994

Authors and Affiliations

  • Dan Ionescu
    • 1
  1. 1.Department of Electrical EngineeringUniversity of OttawaOttawaCanada

Personalised recommendations