  Research on Multi-rotor Aerial Vehicles (MAVs) has experienced remarkable
advancements over the past two decades, propelling the field forward at an
accelerated pace. Through the implementation of motion control and the
integration of specialized mechanisms, researchers have unlocked the potential
of MAVs to perform a wide range of tasks in diverse scenarios. Notably, the
literature has highlighted the distinctive attributes of MAVs that endow them
with a competitive edge in physical interaction when compared to other robotic
systems. In this survey, we present a categorization of the various types of
physical interactions in which MAVs are involved, supported by comprehensive
case studies. We examine the approaches employed by researchers to address
different challenges using MAVs and their applications, including the
development of different types of controllers to handle uncertainties inherent
in these interactions. By conducting a thorough analysis of the strengths and
limitations associated with different methodologies, as well as engaging in
discussions about potential enhancements, this survey aims to illuminate the
path for future research focusing on MAVs with high actuation capabilities.
