Study on stability of formation for gravity field exploration subjected to disturbance based on prescribed performance control

Double satellite formation for gravity field exploration is a complex space virtual instrument system with high-precision, whose normal manner threatened by the debris environment. The of based on control prescribed performance studied. Based random impact debris, nonlinear dynamical equations 20 variables are established considering relative attitude double satellite. interferential characteristics and expected stability under certain disturbance conditions in low Earth orbit analyzed. To simplify motion test mass (TM) to cage, function introduced constrain errors transient steady states. An adaptive design method proposed. Finally, analysis carried out. results show that probability about 78.45% first year 45.59% three years. can be effectively simulated analyzed methods.