Attitude Control of Rigid Spacecraft Based on the Theory of Nonlinear Negative Imaginary Systems

This paper mainly focuses on the attitude control problem of rigid spacecraft, and conducts the design and research of control methods based on the theory of nonlinear negative imaginary systems. A feedback control law is designed for the attitude control model of the rigid spacecraft, ensuring that the closed-loop system satisfies the nonlinear negative imaginary property. Subsequently, according to the stability theory of nonlinear negative imaginary interconnected systems, a strictly negative imaginary controller is designed to achieve the asymptotic stability of the attitude of the rigid spacecraft during its operation. The numerical simulation results verify the effectiveness of the proposed control synthesis method for the rigid spacecraft system.