Abstract
This paper investigates the problem of robust guaranteed cost output tracking control for the homing phase of spacecraft rendezvous. Based on the Clohessy-Wiltshire (C-W) equations, and by simultaneously considering the practical situations such as parameter uncertainty, output tracking, performance cost and poles assignment, a new relative dynamic model is developed, and a robust guaranteed cost output tracking control problem is formulated. Then, by a Lyapunov approach, the existence conditions for admissible controllers are formulated in the form of linear matrix inequalities (LMIs), and the controller design is cast into a convex optimization problem subject to LMI constraints. With the obtained controllers, the homing phase can be completed with a guaranteed cost. An illustrative example is provided to show the effectiveness of the proposed controller design method.