Research on multi-objective control algorithm for micro-nano satellite formation based on array signal detection

Abstract

The study of attitude control methodologies for micro-nano satellite formations is a critical component of formation flight technology, essential for the coordinated operation of formation satellites. Conventional attitude control methods often require measuring absolute attitude using high-precision sensors before adjusting the relative attitude, which increases the payload burden of micro-nano satellites and exacerbates steady-state error. To address the challenges of limited payload capacity in micro-nano satellites and the cumulative relative attitude errors caused by repeated absolute attitude error calculations during control, this paper presents an attitude control algorithm that utilizes the array signal detection (ACASD) based on existing communication modules in micro-nano satellite formations. This paper first models the transmission and reception signals, employs cellular Code Division Multiple Access (CDMA) for multi-satellite identification, calculates bi-directional Line-of-Sight (LOS) vectors between spacecraft using array signals received at the terminal, and uses these LOS vectors as control inputs for the control algorithm design. Error equations and the Lyapunov function are then formulated to verify the feasibility of the algorithm. The performance of the proposed algorithms was rigorously evaluated through simulations, demonstrating superior control accuracy and stability compared to traditional PD controllers and classical sliding mode control methods.