Optimal guaranteed cost control of spacecraft large angle attitude maneuvers

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