Abstract
The problem of supervisory controller synthesis is considered for a class of continuous-time hybrid systems (plants) in which the continuous-state dynamics are selected by a discrete-valued input signal, and output events are generated when the continuous output signal encounters specified thresholds. A discrete-state supervisor controls the hybrid plant by switching the discrete input when threshold events are observed. The objective is to synthesize a nonblocking supervisor (in the ω-language sense) such that the sequential behavior of the closed-loop system is contained within a specified set of admissible behaviors. This problem can be converted into a supervisor synthesis problem for a controDed discrete event system (DES) and solutions may be obtained by constructing finite-state generators that accept outer approximations to the exact DES model of the hybrid plant This paper presents the construction procedure for the approximating automata and a demonstration that increasing the order of the construction computations by appropriate amounts leads to refinements of the outer approximations.
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© 1996 Springer-Verlag Berlin Heidelberg
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Niinomi, T., Krogh, B.H., Cury, J.E.R. (1996). Refinements of approximating automata for synthesis of supervisory controllers for hybrid systems. In: Alur, R., Henzinger, T.A., Sontag, E.D. (eds) Hybrid Systems III. HS 1995. Lecture Notes in Computer Science, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020969
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DOI: https://doi.org/10.1007/BFb0020969
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