LESO-MPC-Based Control for Test Mass Capture in the Release Phase of Gravitational Wave Detection Satellites

The test mass release phase is an important preparation phase for space-based gravitational wave detection satellites before scientific measurements. For the capture control problem of the test mass release phase of the space gravitational wave detection satellite, this study establishes relative dynamics equations for the test mass based on satellite configuration, and analyzes the disturbances and noise. Subsequently, on the basis of the system model, a linear extended state observer (LESO) is designed to estimate both system states and equivalent disturbances. Then, a model predictive controller is designed to solve the current optimal control command based on the estimation information from LESO and the performance constraints of the gravitational reference sensor, while a PID control law is designed for the satellite platform. Finally, the excellent performance of the control strategy is verified through numerical simulations of the test mass capture process.