Mean square bounded attitude coordination control of spacecraft formation with stochastic uncertainties

Abstract

This paper addresses the attitude coordination control problem of spacecraft formation on SO(3) with attitude constraints and stochastic uncertainties. To achieve the control objective, the attitude coordination control law is designed based on the behavioral formation approach and the modified super-twisting control techniques. The sufficient conditions are given for the closed-loop stochastic SFF system to reach the mean square bounded attitude coordination without breaking the attitude constraints. These conditions clearly indicate the way to select the control law parameters, which is convenient in practice. Under these conditions, upper bounds of the system state errors are explicitly estimated, which depends on the stochastic uncertainties, the behavior weights, and the control law parameters. Simulation results verify the applicability and effectiveness of the proposed control law.