This review paper presents the study related to three main challenges such as underactuation, hybrid control designs for the stabilization purpose and an effect of unmodelled dynamic factors. In addition to this, manuscript addresses different approaches to acquire dynamic model for quadrotor with less assumptions such as system identification and Newton Euler formulation techniques. The paper details the short comings related to hybrid control designs proposed for the stabilization of quadrotor in multiple flight modes. Moreover, one may find the discussion related to the constraints while tackling the ground effect and coping up with rotor�s efficiency loss. © ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 2020.