Robust controlled invariance for monotone systems: Application to ventilation regulation in buildings

• Pierre-Jean Meyer ^[2] ; Antoine Girard ^[3] ; Emmanuel Witrant ^[1]
  1. [1] Grenoble Alpes University

     Grenoble Alpes University

     Arrondissement de Grenoble, Francia

     
  2. [2] KTH Royal Institute of Technology;Sweden
  3. [3] Université Paris-Sud;France

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• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 70, 2016, págs. 14-20
• Idioma: inglés
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• Resumen

  • The robust controlled invariance describes the ability to maintain, using suitable control actions, the state of a system in a set for any value of the disturbances. By considering a class of monotone systems and a multidimensional interval as target set, we obtain a simple characterization of the robust controlled invariance. We then give a method to stabilize the state into a robust controlled invariant interval when it is initialized outside of the target set. These results are applied to a model for the temperature control in an intelligent building equipped with automated underfloor air distribution (UFAD) and implemented in a small-scale experimental UFAD flat.