Disturbance rejection model predictive control for building drag-free steady state

To improve the anti-interference performance of the controller during the test mass release phase of the space-borne gravitational wave detection mission, disturbance-observer (DOB) based trumpet tube model predictive control (MPC) is proposed for the steady-state establishment of the test mass. On the one hand, the controller’s performance in terms of disturbance immunity is enhanced by the DOB, and high precision estimation is achieved by reducing the DOB design problem to the standard $ {H}_{\mathrm{\infty }} $ mixed sensitivity optimization problem using virtual loop technology. On the other hand, the trumpet tube MPC is designed, and the active set method is used to solve the optimization problem, and the high-precision test mass anti-disturbance control is realized under strong interference and strong execution constraints. Finally, the proposed method is verified by simulation on the full degree of freedom simulation platform of spacecraft-double test masses. Step matching interference and sine matching interference at 0.1 Hz are proposed based on the fundamentals of noise and interference. The results show that the DOB can accurately estimate the disturbance, and the method can realize high-precision control of the test mass under interference. The measurement noise is also inhibited.