Analysis of aircraft pitch axis stability augmentation system using sum of squares optimization

The region of attraction of a trim point for the pitch axis of a nonlinear modeled aircraft modulated via linear dynamic inversion based controller was determined numerically. The model incorporates uncertainty in the position of center of gravity along the X-body axis. The stability regions are computed using SOSTOOLS, which converts the required sum of squares conditions to an appropriate semi definite program that is then solved using SeDuMi.