Quadrotor Control on SU(2) X R3 with SLAM Integration

We present a trajectory tracking controller for a quadrotor unmanned aerial vehicle (UAV) configured on $SU(2)\times R^3$, and relate this result to a family of geometric tracking controllers on $SO(3)\times R^3$. The theoretical results are complemented by simulation examples, and the controller is subsequently implemented in practice and integrated with a simultaneous localization and mapping (SLAM) system through an extended Kalman filter (EKF). This facilitates the operation of the UAV without external motion capture systems, and we demonstrate that the proposed control system can be used for inventorying tasks in a supermarket environment without external positioning systems

Incremental Reference Generation for Nonsingular Control on SE (3)

Rotational singularities inherent to three different geometric controllers on SE (3) are studied. A new singularity-free method of incrementally generating a reference rotation is proposed, removing a class of singularities without affecting proven stability properties of the closed-loop systems. If satisfying a bound on attitude rate and maximum loop rate in the reference generation, the proposed synthesis of a controlled rotation enables complex manoeuvres on the entirety of SE (3), demonstrated with high-velocity loops on a toroid surface