A fast solution of roll angle based on single-axis MEMS gyro and geomagnetic information

A fast solution of roll angle (SRA) based on cosine law and geomagnetism calculative principles was proposed. Single-axis gyro information is used to get real-time roll angle and geomagnetic information for initial roll angle. This method meets the fast computing demand for real-time roll angle of spinning aircrafts with high rolling velocity during flight. The model of the fast SRA is built using the attitude transformation matrix which is constructed by the difference between body coordinate system and inertial coordinate system. The calculative result of SRA has been validated and matches well with result of the quaternion algorithm. Theoretical analysis and simulation results of SRA both demonstrated that this method worked well with a simple attitude control system of a low cost spinning aircraft.