Study on Dynamic Coordination Condition of Displacement Drag-free Control
Aiming at the feasibility and the avoidance of thrust saturation of displacement drag-free control,the basic dynamic coordination conditions for the maximum thrust of the continuously variable thrust propulsion subsystem in a drag-free displacement control system are derived firstly based on the dynamic equation of drag-free displacement control.Further,the switching dynamics equation derived from the degradation of the displacement frag-free control is used to derive the compromise dynamics coordinate conditions for two scenarios:linear and nonlinear negative stiffness acceleration functions.Simulation comparison was conducted on the compromise dynamics coordination conditions,and the results showed that the conditions under strong nonlinear condition is more stringent than those under degraded linear condition.Finally,a qualitative dynamic coordination conditions for displacement drag-free control to avoid thrust saturation is analyzed,and simulation verification is obtained,those are,the initial quality state and command state should be close to the negative stiffness force zero position within the compromise dynamics coordinate condition area,the open-loop system time delay should be as short as possible,and the control bandwidth should be selected in a compromise.
Displacement drag-free controlDynamic coordination conditionSwitching dynamics equationHamilton functionInitial state of proof-mass