A control design method using a polynomial equation approach is proposed in this paper. The proposed design method takes advantages of the transfer function and state-space approaches such that an observer-based feedback controller with a desired internal structure is adopted and a pole-placement technique is used to design the controller by solving a linear algebraic equation. The desired internal structure provides a mechanism such that zero tracking error and perfect disturbance rejection can be achieved. The design procedure is simple and straightforward. Results of computer simulation demonstrate the effectiveness of the proposed control design method and support its feasibility.