The project goal is to design an adaptive behavior of a robotic system that is in charge of monitoring the user's Activity of Daily Living (ADL) in the case of people with dementia. In our opinion, the robot presence, in order to be effective and well accepted by users, must be the least invasive as possible. In fact, an interactive robotic device whose behavior is unrelated to the specific needs of a person, his/her abilities and preferences can cause discomfort. The majority of the robotic applications are based on static user models and on the specification of all the possible contexts of interaction. This makes such systems incapable of adapting independently and proactively to changes in the needs and preferences of users. In this direction, our goal is to design an adaptive behavior of the robotic system that is able to regulate its social interaction parameters (e.g., the interaction distances, proxemics, the speed of movements, and the same modality of interaction) on the basis of personality factors as well as of the cognitive state of the user.