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Why Event Observation: Observability Revisited

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Abstract

In this paper, we revisit observability defined in Lin and Wonham (1988a). We show that although the original definition is intended for event observation with projection, its significance goes beyond its original intent. Specifically, we show that (1) supervisory control with state observation can be studied in terms of event observation; (2) supervisory control problems with event mask can be converted to problems with event projection; and (3) nondeterminism is closely related to unobservability.

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References

  • Ben Hadj-Alouane, N., Lafortune, S., and Lin, F. 1993. Control of partially observed discrete event systems with variable lookahead maximal policies. Proceedings of the 31st Annual Allerton Conference on Communication, Control, and Computing, pp. 898–907.

  • Cho, H., and Marcus, S. I. 1989. Supremal and maximal sublanguages arising in supervisor synthesis problems with partial observations. Mathematical Systems Theory 22: 177–211.

    Google Scholar 

  • Chung, S. L., Lafortune, S., and Lin, F. 1992. Limited lookahead policies in supervisory control of discrete event systems. IEEE Transactions on Automatic Control 37(12): 1921–1935.

    Google Scholar 

  • Cieslak, R., Desclaux, C., Fawaz A., and Varaiya, P. 1988. Supervisory control of discrete-event processes with partial observations. IEEE Transactions on Automatic Control 33(3): 249–260.

    Google Scholar 

  • Heymann, M. 1990. Concurrency and discrete event control. IEEE Control Systems Magazine 10(4): 103–112.

    Google Scholar 

  • Heymann, M., and Lin, F. 1994. On-line control of partially observed discrete event systems. Discrete Event Dynamic Systems: Theory and Applications 4(3): 221–236.

    Google Scholar 

  • Heymann, M., and Lin, F. 1996. Discrete event control of nondeterministic systems. CIS Report 9601, Technion, Israel.

    Google Scholar 

  • Heymann, M., and Meyer, G. 1991. An algebra of discrete event processes. NASA Technical Memorandum 102848.

  • Hoare, C. A. R. 1985. Communicating Sequential Processes, New York: Prentice-Hall.

    Google Scholar 

  • Kumar, R. 1993. Formulas for observability of discrete event dynamical systems. Proceedings of 1993 Conference on Information Sciences and Systems, pp. 581–586.

  • Kumar, R., and Shayman, M. A. 1993. Non-blocking supervisory control of nondeterministic systems via prioritized synchronization. Technical Research Report, T.R. 93-58, Institute for Systems Research, University of Maryland.

  • Lin, F., and Wonham, W. M. 1988a. Decentralized supervisory control of discrete-event systems. Information Sciences 44(3), 199–224.

    Google Scholar 

  • Lin, F., and Wonham, W. M. 1988b. On observability of discrete event systems. Information Sciences 44(3): 173–198.

    Google Scholar 

  • Lin, F., and Wonham, W. M. 1990. Decentralized control and coordination of discrete event systems with partial observation. IEEE Transactions on Automatic Control 35(12): 1330–1337.

    Google Scholar 

  • Overkamp, A. 1994. Supervisory control for nondeterministic systems. Proceedings of 11th International Conference on Analysis and Optimization of Systems, pp. 59–65.

  • Ramadge, R. J., and Wonham, W. M. 1987. Supervisory control of a class of discrete event processes. SIAM J. Control and Optimization 25(1): 206–230.

    Google Scholar 

  • Ramadge, P. J., and Wonham, W. M. 1989. The control of discrete event systems. Proceedings of IEEE 77(1): 81–98.

    Google Scholar 

  • Rudie, K., and Wonham, W. M. 1992. Think globally, act locally: decentralized supervisory control. IEEE Transactions on Automatic Control 37(11): 1692–1708.

    Google Scholar 

  • Rudie, K., and Wonham, W. M. 1990. The infimal prefix-closed and observable superlanguage of a given language. Systems & Control Letters 15: 361–371.

    Google Scholar 

  • Sampath, M., Sengupta, R., Lafortune, S., Sinnamohideen, K., and Teneketzis, D. 1994. Failure diagnosis using discrete event models. Report CGR-94-03, University of Michigan.

  • Shayman, M., and Kumar, R. 1995. Supervisory control of nondeterministic systems with driven events via prioritized synchronization and trajectory models. SIAM Journal of Control and Optimization 33(2): 469–497.

    Google Scholar 

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Cao, C., Lin, F. & Lin, ZH. Why Event Observation: Observability Revisited. Discrete Event Dynamic Systems 7, 127–149 (1997). https://doi.org/10.1023/A:1008226632478

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