Passivity-Based Model Predictive Control for Tethered Despin of Massive Space Objects by Small Space Tug

• Published in: IEEE transactions on aerospace and electronic systems Vol. 59; no. 2; pp. 1239 - 1248
• Main Authors: Kang, Junjie, Zhu, Zheng H.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Aerospace electronics; Asteroid; Asymptotic properties; Asymptotic stability; Closed loops; Constraint modelling; Control systems; Control theory; debris; despin; Energy storage; Feedback control; Gravitational fields; Gravity; Libration; model predictive control (MPC); Orbits; passivity; Potential energy; Predictive control; Solar system; Space debris; space tether; Space tugs; Space vehicles; Spin reduction; tug; underactuated
• ISSN: 0018-9251; 1557-9603
• DOI: 10.1109/TAES.2022.3197097

In this article, we study the stable control of tethered despin of a massive rotating space object in a central gravity field by a small space tug. A control scheme under the passivity-based model predictive control framework is designed to ensure that the constraints of state and input (bounded libration angle, positive tether tension, and bounded thrust) are satisfied. Furthermore, an additional passivity constraint is introduced into the passivity-based model predictive control to guarantee the asymptotic stability of the closed-loop control system. The attainable equilibrium configuration of the tethered system is first analyzed. Then, a framework of the storage energy function is constructed by the potential energy shaping methodology to establish the passivity mapping of the tethered system from input to output. Finally, the strictly asymptotic stability of despinning control of the tethered system under the proposed control law is theoretically proved by the invariance theorem and Lyapunov stability theory. The effectiveness of the proposed control scheme is verified by numerical simulation.