This paper studies the problem of orbit control for intercepting satellite based on state feedback control considering parametric uncertainties, finite time performance, control input constraint and poles assignment. The sufficient condition of controller is derived by Lyapunov approach, and then the controller design is transformed into a convex optimization problem in terms of linear matrix inequality. An illustrative example shows that the system is asymptotically stable with the designed controller and the optimal performance is obtained with control input and poles assignment constraints.