Global Finite-Time Attitude Tracking via Quaternion Feedback
For aerospace and robotics applications requiring fast and precise attitude maneuvers, this work provides a unified framework for finite-time control under various sensor configurations.
This paper designs global finite-time attitude controllers for rigid bodies using quaternion feedback, addressing three measurement scenarios (full states, attitude with biased angular velocity, and attitude only). The controllers achieve finite-time stability with bounded torques and include existing controllers as special cases.
This paper addresses the attitude tracking of a rigid body using a quaternion description. Global finite-time attitude controllers are designed with three types of measurements, namely, full states, attitude plus constant-biased angular velocity, and attitude only. In all three scenarios hybrid control techniques are utilized to overcome the well-known topological constraint on the attitude manifold, while coupled nonsmooth feedback inputs are designed via homogeneous theory to achieve finite-time stability. Specially, a finite-time bias observer is derived in the second scenario and a quaternion filter is constructed to provide damping in the absence of velocity feedback. The proposed methods ensure bounded control torques a priori and, in particular, include several existing attitude controllers as special cases.