Abstract
The formulation and solution of the cat-and-mouse problem within the formalism [1, 2, 3, 4, 5, 6, 7] are presented. True parallelism as well as the least delays between output discrete events are modelled. Both the plant and controller are strongly causal, therefore the results are relatively realistic with respect to a “real-world maze.” The presented solution is minimally restrictive. The solution of the maze problem presented here is a sample example of utilization of the methodology [1, 2, 3, 4, 5, 6, 7], which can be used also for another classes of models and another control problems.
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References
P. Kozdk. A unifying framework for discrete event system control theory. In this volume, pages 95–110.
P. Kozdk. Discrete events and general systems theory. Int. J. Systems Science, 23 (9): 1403–1422, September 1992.
P. Kozdk. On feedback controllers. Int. J. Systems Science, 23 (9): 1423–1431, September 1992.
P. Kozdk. On controllable behaviours of time systems. Technical Report # 1739, Czechoslovak Academy of Sciences, Institute of Information Theory and Automation, Prague, Czechoslovakia, 1991. submitted.
P. Kozak. Supervisory control of discrete event processes: A real-time extension. Technical Report # 1692, Czechoslovak Academy of Sciences, Institute of Information Theory and Automation, Prague, Czechoslovakia, 1991, revised 1992. submitted.
P. Kozak. Control of elementary discrete event systems: Synthesis of controller with non-zero decision time. In D. Franke and F. Kraus, editors, Proc. of the 1st IFAC Symposium on Design Methods of Control Systems, pages 457–462, Zurich, Switzerland, September 1991. Pergamon Press, Oxford.
P. Kozák. Supervisory control of parallelly interconnected elementary discrete event processes. submitted, 1992.
W.M. Wonham and P.J. Ramadge. On the supremal controllable sublanguage of a given language. SIAM J. Control Optim., 25 (3): 637–659, May 1987.
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© 1993 Birkhäuser Verlag Basel
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Kozák, P. (1993). The Cat-and-Mouse Problem with Least Delays. In: Balemi, S., Kozák, P., Smedinga, R. (eds) Discrete Event Systems: Modeling and Control. Progress in Systems and Control Theory, vol 13. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9120-2_18
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DOI: https://doi.org/10.1007/978-3-0348-9120-2_18
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9916-1
Online ISBN: 978-3-0348-9120-2
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