Controllability and invariance of monotone systems for robust ventilation automation in buildings

The problem considered is the temperature control in a building equipped with UnderFloor Air Distribution (UFAD). Its 0-D model is derived from the energy and mass conservation in each room, and also presents discrete components to describe the disturbances from heat sources and doors opening. Using the monotonicity of this model, we can characterize two concepts of robust control, the Robust Controllability and the Robust Controlled Invariance introduced in this paper, and determine their limits for control design objectives. The validity of these results is then illustrated in a simulation of a two-room example.