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On max-plus linear dynamical system theory: The regulation problem
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DOI：10.1016/j.automatica.2016.09.019.png)
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Abstract
En 中文
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. (C) 2016 Elsevier Ltd. All rights reserved.
Keywords:
Max-plus algebra
Tropical algebra
Timed-event graphs
Geometric control
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