A Low-complexity Prescribed Performance Attitude Control of Post-capture Combined Spacecraft Based on Modified Rodrigues Parameters

This paper develops a novel low-complexity attitude control method for combined spacecraft with guaranteed prescribed performance based on MRPs (Modified Rodrigues Parameters) in the presence of external disturbance. In this paper, firstly, by utilizing prescribed performance and barrier functions, the attitude angle error converges to a preassigned set of arbitrary small residuals. Then, an effective and robust attitude control method is designed to deal with external disturbance and nonlinearity of the actuator, leading to the attitude tracking error transient and steady state performance can be preset while completely avoiding approximators and adaptive laws, which shows that a low-complexity control is achieved. Hence, accurate attitude stability and tracking are maintained. Moreover, based on a Lyapunov function, the proof of the convergence is completed. Finally, simulation results demonstrate the effectiveness of the proposed method.