Optimal Control for (max,+)-linear Systems in the Presence of Disturbances

  • Invited Session: Max-plus Algebra
  • Conference paper
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Positive Systems

Part of the book series: Lecture Notes in Control and Information Science ((LNCIS,volume 294))

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Abstract

This paper deals with control of (max,+)-linear systems when a disturbance acts on system state. In a first part we synthesize the greatest control which allows to match the disturbance action. Then, we look for an output feedback which makes the disturbance matching. Formally, this problem is very close to the disturbance decoupling problem for continuous linear systems.

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Luca Benvenuti Alberto De Santis Lorenzo Farina

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Lhommeau, M., Hardouin, L., Cottenceau, B. Optimal Control for (max,+)-linear Systems in the Presence of Disturbances. In: Benvenuti, L., De Santis, A., Farina, L. (eds) Positive Systems. Lecture Notes in Control and Information Science, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44928-7_8

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  • DOI: https://doi.org/10.1007/978-3-540-44928-7_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40342-5

  • Online ISBN: 978-3-540-44928-7

  • eBook Packages: Springer Book Archive

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