Abstract | ||
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A class of timed discrete event systems can be modeled by using Timed-Event Graphs, a class of timed Petri nets that can have its firing dynamic described by using an algebra called “Max-plus algebra”. For this kind of systems it may be desirable to enforce some timing constraints in steady state. In this paper, this problem is called a “max-plus regulation problem”. In this context we show a necessary condition for solving these regulation problems and in addition that this condition is sufficient for a large class of problems. The obtained controller is a simple linear static state feedback and can be computed using efficient pseudo-polynomial algorithms. Simulation results will illustrate the applicability of the proposed methodology. |
Year | DOI | Venue |
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2017 | 10.1016/j.automatica.2016.09.019 | Automatica |
Keywords | DocType | Volume |
Max-plus algebra,Tropical algebra,Timed-event graphs,Geometric control | Journal | 75 |
Issue | ISSN | Citations |
1 | 0005-1098 | 2 |
PageRank | References | Authors |
0.36 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Vinícius M. Gonçalves | 1 | 18 | 2.73 |
Carlos Andrey Maia | 2 | 2 | 0.36 |
Laurent Hardouin | 3 | 171 | 28.97 |