The boundary control strategy of the distributed parameter systems described by a class of semi-linear parabolic partial differential equations with Robin or mixed boundary conditions is proposed, and the corresponding stabilization problem is also studied. According to the theory of the infinite dimensional abstract development equation and the theory of Lumer-Phillips, the well-posedness of closed loop system can be proved. By means of different measurement methods, the states of the system can be obtained by domain-averaged measurement and boundary-valued measurement respectively and then transmitted to the controllers. Employing the Lyapunov's direct method and the linear matrix inequality(LMI) technique, the effective controllers satisfing the conditions of stable systems can be designed according to the Lyapunov stability theory. By applying output feedback control at the boundary of systems with the domain-averaged measurement and boundary-valued measurement respectively, the distributed parameter systems can reach the steady states from the unstable states in a short time. Finally, the simulations verify the effectiveness of the designed controllers.