Characteristic model-based all-coefficient adaptive control of the drag-free satellites

This paper studies characteristic model-based adaptive control of the drag-free satellite in the presence of second-order stochastic disturbance. Based on the characteristic model, a logic double integral control law is proposed. A new drag-free controller structure which is a combination of the existing all-coefficient adaptive control laws and the proposed logical double integral control law is designed. Also, we consider the integral control of the drag-free satellite, and explain why it is not recommended when the non-gravitational force in the loop belongs to a second-order disturbance class. Simulation results of characteristic model control, embedded model control and integral control are presented and discussed.