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.
Publié le : 2016-07-04
Classification:
robust controlled invariance,
Monotone systems,
temperature control,
[SPI.AUTO]Engineering Sciences [physics]/Automatic,
[INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY],
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-01276261,
author = {Meyer, Pierre-Jean and Girard, Antoine and Witrant, Emmanuel},
title = {Robust controlled invariance for monotone systems: application to ventilation regulation in buildings},
journal = {HAL},
volume = {2016},
number = {0},
year = {2016},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01276261}
}
Meyer, Pierre-Jean; Girard, Antoine; Witrant, Emmanuel. Robust controlled invariance for monotone systems: application to ventilation regulation in buildings. HAL, Tome 2016 (2016) no. 0, . http://gdmltest.u-ga.fr/item/hal-01276261/