Optimal satellite formation reconfiguration based on the uncertainty and disturbance estimator

Abstract

This paper investigates the energy-optimal path generating and robust trajectory tracking of satellite formation reconfiguration. First, to minimize the energy consumption during formation reconfiguration, the problem of finding optimal path and control profile is studied. This problem is solved based on the linear Hill-Clohessy-Wiltshire equations and optimal control theory. Second, considering the nonlinearities and disturbances in the dynamics of satellite relative motion, a robust control law based on an uncertainty and disturbance estimator is designed. The primary advantage of this estimator is the relaxation of the assumption on disturbances, and only frequency range is needed. The asymptotic stability of the closed-loop system formed by a robust feedback controller is analyzed. Finally, numerical simulation results are presented to validate the feasibility of the proposed reconfiguration trajectory optimization approach and control strategy.