Nonlinear H∞ control of large angle attitude maneuvers for satellite using sum of squares

The main contribution of this paper is that, for the first time, a two step incorporated and systematic method for modeling and control of large angle maneuvers of a satellite is formulated by using convex optimization. Firstly, the nonlinear dynamic and kinematic equation of the satellite are represented by linear parameter variation (LPV) system. Secondly, by using of the Sum of Squares (SOS) technique, a Lyapunov-based controller synthesis is formulated, the nonlinear H_∞ controller is given based on the LPV model. The effectiveness of the proposed control technique is shown in simulations.