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. (c) 2024 COSPAR. Published by Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.