Direct parametric control approach to robust integrated relative position and attitude control for non-cooperative rendezvous

In this paper, the integrated relative position and attitude nonlinear second-order model for non-cooperative rendezvous with the parameter uncertainty has been established, which consists of orbit dynamical model in the line of coordinate system and attitude dynamical model described by Euler angle, furthermore we consider the gravity discrepancy item to be the uncertain parameter, which be neglected generally, the 6 degree of freedom(6DOF) model complete in the sense that no approximation is taken. Based on the eigenstructure assignment and direct parametric control approach, we design the robust control law for non-cooperative rendezvous in the final phase subject to parameter uncertainty. The control law is constructed with the closed-loop poles system state and the design freedom parameters. Through solving an optimization problem, we obtain free parametric to calculate the control law. A numerical simulation demonstrates the effect of the designed control strategy.