FORMATION FLIGHT SYSTEM VIA ROBUST CONTROL

摘要

Clohessy-Wiltshire (C-W) Equation has been widely used to model the leader-follower dynamics for the formation flight system. Numerous controllers have been proposed based on this linear model. To date, most of these controllers assumed that the system model is well defined, and all the states are known. However, since the C-W equation is only a linear approximation of the physical system and is restricted to the near circular reference orbit, in this paper, LQR and H_∞ / μ controllers are designed based on this linear C-W model with robustness against parametric uncertainty and the un-modeled high order dynamics. These linear robust controllers are evaluated in simulation using both linear and nonlinear models. The simulation results demonstrate that LQR and H_∞ / μ controllers are capable of controlling the nonlinear model.