Efficient coning algorithm design from a bilateral structure

Many carriers in aerospace applications require high-precision strapdown inertial navigation system (SINS) for navigation. Under complex motion such as maneuver, vibration, etc., the performance of SINS algorithm needs to be paid special attention, since additional algorithm error can be induced due to complex motion. In order to improve the performance of SINS attitude algorithm, a bilateral coning algorithm is presented, which is based on a bilateral correction structure containing only one vector cross-product of which the undetermined coefficient is on both sides. In order to design the bilateral coning algorithm, the classical compressed algorithm coefficient is first given. Then the constraint relationship between the bilateral correction coefficient and the uncompressed correction coefficient is constructed. Further, it is shown that how to design the bilateral correction coefficient according to the constraint relationship. (The maneuver residual error based on the uncompressed correction structure is derived in Appendix A.) After the full analysis and simulation, the bilateral coning algorithm is verified to be very efficient in maneuver environment, for it has low algorithm throughput close to that of the compressed algorithm and high maneuver accuracy close to that of the uncompressed algorithm.