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On the control of discrete-event dynamical systems

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Abstract

We study a class of problems related to the supervisory control of a discrete-event system (DES), as formulated by Ramadge and Wonham, and we focus on the computational effort required for their solution. While the problem of supervisory control of a perfectly observed DES may be easily solved by dynamic programming, the problem becomes intractable (in the sense of complexity theory) when imperfectly observed systems are considered.

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References

  • [B] D. P. Bertsekas,Dynamic Programming and Stochastic Control, Academic Press, New York, 1976.

    MATH  Google Scholar 

  • [CDFV] R. Cieslak, C. Desclaux, A. Fawaz, and P. Varaiya, Supervisory control of discrete-event processes with partial observations,IEEE Trans. Automat. Control,33 (1988), 249–260.

    Article  MATH  Google Scholar 

  • [PS] C. H. Papadimitriou and K. Steiglitz,Combinatorial Opimization: Algorithms and Complexity, Prentice Hall, Englewood Cliffs, NJ, 1982.

    MATH  Google Scholar 

  • [PT] C. H. Papadimitriou and J. N. Tsitsiklis, The complexity of Markov decision processes,Math. Oper. Res.,12 (1987), 441–450.

    Article  MathSciNet  MATH  Google Scholar 

  • [P] C. P. Pfleeger, State reduction in incompletely specified finite-state machines,IEEE Trans. Comput.,22 (1973), 1099–1102.

    MathSciNet  MATH  Google Scholar 

  • [RW1] P. J. Ramadge and W. M. Wonham, Modular supervisory control of discrete event systems,Proceedings of the Seventh International Conference on the Analysis and Optimization of Systems, Antibes, June 25–27, 1986, pp. 202–214, Lecture Notes in Control and Optimization of Systems, Vol. 83 (A. Bensoussan and J. L. Lions, eds), Springer-Verlag, New York, 1986.

    Google Scholar 

  • [RW2] P. J. Ramadge and W. M. Wonham, Supervisory control of a class of discrete-event processes,SIAM J. Control Optim.,25 (1987), 206–230.

    Article  MathSciNet  MATH  Google Scholar 

  • [T] J. N. Tsitsiklis, On the Control of Discrete-event Dynamical Systems, Technical Report LIDS-P-1661, Laboratory for Information and Decision Systems, M.I.T., Cambridge, MA March 1987.

    Google Scholar 

  • [VW] A. F. Vaz and W. M. Wonham, On supervisor reduction in discrete-event systems.Internat. J. Control,44 (1986), 475–491.

    MathSciNet  MATH  Google Scholar 

  • [WR] W. M. Wonham and P. J. Ramadge, On the supremal controllable sublanguage of a given language,SIAM J. Control Optim.,25 (1987), 637–659.

    Article  MathSciNet  Google Scholar 

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Research supported by the Army Research Office (Grant No. DAAL03-86-K-0171) and by an NSF PYI award, with matching funds from Bellcore Inc.

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Tsitsiklis, J.N. On the control of discrete-event dynamical systems. Math. Control Signal Systems 2, 95–107 (1989). https://doi.org/10.1007/BF02551817

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  • DOI: https://doi.org/10.1007/BF02551817

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