Synthesis of Two-Channel Control to Stabilize the Rotation of a Small Asymmetric Spacecraft in the Martian Atmosphere

The controlled motion of a small asymmetric space probe relative to the center of mass in the upper layers of the planet's atmosphere is considered. The application of the dynamic programming method and the averaging method makes it possible to synthesize an approximate the optimal two-channel control law of the rotational motion of a space probe. The simulation results show that the obtained control law provides effective motion stabilization of the space probe relative to the center of mass. Therefore, this control law can be used to simulate the low-orbit motion of small spacecraft moving in the rarefied atmosphere of Mars.