Velocity-free prescribed-time orbit containment control for satellite clusters under actuator saturation

The paper is devoted to the problem of velocity-free prescribed-time orbit containment control for satellite clusters under actuator saturation that enable all followers to enter a convex hull spanned by multiple leaders. The speed function is utilized and is the basis of solving the prescribed-time orbit containment control problem. Firstly, a distributed prescribed-time estimator is proposed to estimate the desired position and velocity of each follower within a given prescribed time. Then, considering the unmeasurable velocity information of the followers, a prescribed-time state observer is studied to obtain their own velocity information. In view of the estimated desired position and velocity values and observed velocity information, this paper presents a velocity-free prescribed-time orbit containment controller with an adaptive compensation law under actuator saturation. Finally, some simulation examples validate the effectiveness and superiority of the developed control algorithms.