Observability analysis of transfer alignment of airborne weapons

The velocity and attitude selected as measurements were used to design transfer alignment system of airborne weapons. The dynamic error models and measurement models of system were established, and Kalman filter was designed based on these models. The observability analysis of piece-wise constant system (PWCS) based on singular value decomposition (SVD) of observable matrix was introduced. By using this method, the observability of every state vector in the transfer alignment of airborne weapons can be analyzed. Based on observability analysis of system, unobservable state vectors were omitted and the dimension of Kalman filter was reduced. At the same time, the filter performances and transfer alignment precision before and after reducing dimension were compared under wing rock maneuvers. The results of comparison can effectively prove the necessity and rationality of observability analysis.