I. Introduction
Planning actions for SLAM (Simultaneous Localisation and Mapping) requires fast algorithms that can adapt to changes in the environment. Changes occur when new features or obstacles are detected and when the state estimates in the EKF (Extended Kalman Filter) are updated. Platforms such as UAVs (Unmanned Aerial Vehicles) have hard real-time constraints. Local planning strategies, such as Model Predictive Control (MPC), are well suited to these systems and systems with highly dynamic environments. MPC is simple and fast, thus enabling continuous replanning to incorporate feedback and up to date knowledge of the system state and the environment.