PERIODIC H_2 SYNTHESIS FOR SPACECRAFT ATTITUDE DETERMINATION AND CONTROL WITH A VECTOR MAGNETOMETER AND MAGNETORQUERS

摘要

A control synthesis for a spacecraft equipped with a set of mutually perpendicular coils and a vector magnetometer is addressed in this paper. The interaction between the Earth's magnetic field and an artificial magnetic field generated by the coils produces a control torque. Comparison between the expected magnetic field vector and the true magnetometer data is used for the attitude determination. The magnetic attitude control and determination is intrinsically periodic due to periodic nature of the geomagnetic field variation in orbit. The control performance is specified by the generalized H_2 operator norm. The paper proposes an LMI solution to this problem.