Distributed vibration control for flexible spacecraft with distributed disturbance and actuator fault

Abstract

Distributed and boundary control for flexible spacecraft with distributed and boundary disturbances and actuator fault was investigated in this study. The flexible spacecraft analyzed here consists of a centrebody and two symmetric flexible appendages, which can be modeled by a set of partial differential equations (PDEs). Distributed disturbances are considered, distributed infinite disturbance observers are designed to estimate the disturbances in the system, which are proven exponentially stable. Distributed controllers are designed to compensate for the distributed disturbances. A boundary controller imported on the centrebody is designed to suppress the vibration of the flexible spacecraft. Adaptive control laws are established to ensure stable system operation in the presence of partial actuator fault. The Lyapunov function consists of the energy of the system and the stability is analyzed. Finally, numerical simulations are used to validate the system control effectiveness of the proposed method.