Abstract:Based on fixed-time stabilization theory, a new hovering control strategy for spacecraft in relative orbit is investigated. First, the mathematical description of the fixed-time stabilization theory is introduced. Then, the hovering control law is proposed by utilizing C-W equation. The control effects can be adjusted to desired states in which the spacecraft hovers stably and precisely in finite time by regulating the values of corresponding parameters. Numerical simulation results are provided to validate the performance of the proposed control law.