Attitude Tracking LPV Control for Spacecraft with Hybrid Actuators

An H-infinity guaranteed cost control method based on linear parameter varying (LPV) techniques is proposed in this paper for the spacecraft with hybrid actuators to execute attitude tracking control mission. Firstly. the spacecraft attitude tracking quasi-LPV model is built with the consideration of several uncertainties such as actuator misalignment and external disturbances. Secondly, combined with robust guaranteed cost control and H-infinity control theory, a state-feedback LPV control law is designed to ensure the quadratic performance, H-infinity performance and torque boundary. According to the bounded real lemma and the Schur complement lemma, the controller synthesis process is converted to a performance optimization problem based on the linear matrix inequalities (LMIs). By introducing the torque allocation and hybrid steering law, the spacecraft can achieve fast tracking with relatively high precision. Finally, numerical simulations demonstrate the effectiveness of the presented approach.