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

Pierre-Jean Meyer (1) , Antoine Girard (2) , Emmanuel Witrant (3)

1 KTH - KTH Royal Institute of Technology [Stockholm]
2 L2S - Laboratoire des signaux et systèmes
3 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse

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.

Mots clés: temperature control; robust controlled invariance; Monotone systems

Domaines: Automatique / Robotique; Systèmes et contrôle [cs.SY]; Optimisation et contrôle [math.OC]

Pierre-Jean Meyer, Antoine Girard, Emmanuel Witrant. Robust controlled invariance for monotone systems: application to ventilation regulation in buildings. Automatica, 2016, 70, pp.14-20. ⟨10.1016/j.automatica.2016.03.004⟩. ⟨hal-01276261⟩