Brief paper: Input signal design for identification of max-plus-linear systems

  • Authors:
  • Gernot Schullerus;Volker Krebs;Bart De Schutter;Ton van den Boom

  • Affiliations:
  • SEW-Eurodrive, Ernst-Blickle-Str. 42, D-76646 Bruchsal, Germany;Institut für Regelungs- und Steuerungssysteme, Universität Karlsruhe, Kaiserstraíe 12, D-76131 Karlsruhe, Germany;-;Delft Center for Systems and Control, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2006

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Abstract

Max-plus-linear systems efficiently describe the dynamics of event time sequences of a class of discrete event systems. The present contribution addresses the problem of designing adequate input signals for state space identification of max-plus-linear systems. It is shown that the input signal design problem can be rewritten as a set of upper bound constraints and therefore solved using an existing algorithm. This input signal design method allows to incorporate additional objectives and constraints, e.g. minimum or maximum input event separation, time order constraints, etc., which are desirable or even required for the input signals and the resulting process behavior.