Abstract
We study the problem of control synthesis for a timed plant and an external timed specification, modelled as timed automata. Our main result is that the problem is decidable when we are given a priori the resources for the controller (the number of clocks, observational power of clocks, etc.) and when the specification is an ω-regular timed language describing undesired behaviours. We also show that for deterministic specifications, if there is a controller at all, then there is one which uses the combined resources of the plant and specification. The decidability of other related problems is also investigated.
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References
M. Abadi, L. Lamport, P. Wolper: Realizable and Unrealizable Concurrent Program Specifications, Proc. 16th ICALP, LNCS 372, Springer-Verlag (1989).
R. Alur, D. L. Dill: A theory of timed automata, Theoretical Computer Science Vol 126 (1994).
E. Asarin, O. Maler, A. Pnueli, J. Sifakis: Controller Synthesis for Timed Automata, Proc. IFAC Symposium on System Structure and Control, Elsevier (1998).
J.R. Büchi, L.H Landweber: Solving sequential conditions by finite-state strategies, Trans. AMS, Vol 138 (1969).
D. D’souza, P. Madhusudan: Controller synthesis for timed specifications, Technical ReportTCS-01-2, Chennai Mathematical Institute (http://www.cmi.ac.in) (2001).
T.A. Henzinger: The theory of hybrid automata, Proc. 11th IEEE LICS, (1996).
G._Hoffmann, H. Wong-Toi: The control of dense real-time discrete event systems, Conference on Decision and Control, Brighton (1991).
O. Kupferman, P. Madhusudan, P.S. Thiagarajan, M. Vardi: Open systems in reactive environments: Control and Synthesis, CONCUR’ 00, LNCS 1877 (2000).
O. Maler, A. Pnueli, J. Sifakis: On the Synthesis of Discrete Controllers for Timed Systems, Proc. STACS’ 95 LNCS 900, Spinger-Verlag (1995).
R. McNaughton: Infinite games played on finite graphs, Annals of Pure and Applied Logic, Vol 65 (1993).
A. Pnueli, R. Rosner: On the Synthesis of a Reactive Module, Proc. 16th ACM POPL (1989).
P.J.G. Ramadge, W.M. Wonham: The control of discrete event systems, IEEE Trans. on Control Theory, Vol 77 (1989).
D. Schmitz, J. Vöge: Implementation of a strategy improvement algorithm for parity games, Proc. CIAA 2000, London, Ontario (2000).
W. Thomas: Automata on infinite objects, Handbook ofThe oretical Computer Science, North Holland (1990).
W. Thomas: On the Synthesis of Strategies in Infinite Games, Proc. 12th STACS, LNCS 900, Springer-Verlag (1995).
W. Thomas: Languages, Automata, and Logic, Handbook ofF ormal Language Theory, Springer-Verlag (1997).
W. Zielonka: Infinite games on finitely coloured graphs with applications to automata on infinite trees, Theoretical Computer ScienceVol 200 (1998).
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D’souza, D., Madhusudan, P. (2002). Timed Control Synthesis for External Specifications. In: Alt, H., Ferreira, A. (eds) STACS 2002. STACS 2002. Lecture Notes in Computer Science, vol 2285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45841-7_47
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DOI: https://doi.org/10.1007/3-540-45841-7_47
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