Abstract: A novel approach to optimal performance guaranteed control of spacecraft large angle attitude maneuvers is proposed based on sum of squares (SOS) optimization, spacecraft attitude dynamics is represented by a linear parameter varying (LPV) system with modified Rodrigues parameters. Based on the analysis of system performance, a sufficient condition for the existence of state feedback performance guaranteed controller is derived by using Lyapunov approach and SOS optimization. Furthermore, the optimal performance guaranteed controller design problem is converted to a parameter optimization problem with SOS constraints. Simulation results of certain satellite attitude maneuver demonstrate the effectiveness of the proposed design approach.

Key words: optimization control, attitude control, large angle attitude maneuver, sumofsquares optimization