Stabilization of Max-Plus-Linear Systems Using Receding Horizon Control: The Unconstrained Case - Extended Report

Reference

I. Necoara, T. J. J. van den Boom, B. De Schutter, and J. Hellendoorn, "Stabilization of max-plus-linear systems using receding horizon control: The unconstrained case - Extended report," Tech. report 06-007a, Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands, 16 pp., Apr. 2006. A short version of this report has been published in the Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06), Alghero, Italy, pp. 148-153, June 2006.

Abstract

Max-plus-linear (MPL) systems are a class of discrete event systems that can be described by models that are "linear" in the max-plus algebra. In this paper we focus on MPL systems such as they arise in the context of e.g. manufacturing systems, telecommunication networks, railway networks, and parallel computing. We derive a receding horizon control scheme for MPL systems that guarantees a priori stability (in the sense of boundedness of the normalized state) of the closed-loop system in the "unconstrained" case. We also discuss the main properties of the resulting receding horizon controllers.

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Original paper

• I. Necoara, T. J. J. van den Boom, B. De Schutter, and J. Hellendoorn, "Stabilization of max-plus-linear systems using receding horizon control - The unconstrained case," Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06), Alghero, Italy, pp. 148-153, June 2006.  (online paper,  abstract,  bibtex,  tech. report (pdf))

BibTeX

@techreport{Necvan:06-007a,
   author      = {Necoara, Ion and van den Boom, Ton J. J. and De Schutter,
                  Bart and Hellendoorn, Johannes},
   title       = {Stabilization of Max-Plus-Linear Systems Using Receding
                  Horizon Control: {The} Unconstrained Case -- {Extended}
                  Report},
   number      = {06-007a},
   institution = {Delft Center for Systems and Control, Delft University of
                  Technology},
   address     = {Delft, The Netherlands},
   month       = apr,
   year        = {2006},
   note        = {A short version of this report has been published in the
                  \emph{Proceedings of the 2nd IFAC Conference on Analysis and
                  Design of Hybrid Systems (ADHS'06)}, Alghero, Italy, pp.\ 
                  148-153, June 2006}
   }

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