In this paper, the multiobjective H_∞ control problem of model matching and disturbance rejection by dynamic state feedback and disturbance measurement feedforward is studied via Linear Matrix Inequality (LMI) approach. To solve the problem, first, the multiobjective H_∞ control problem is defined and shown that this problem can be reduced in two independent H_∞ Model Matching Problems (MMP) and then the LMI-based solution of the H_∞ MMP is derived by using the solution of the H_∞ Optimal Control Problem (OCP) in the formulation of the LMI. The LMI-based solvability conditions for the multiobjective H_∞ control problem and a design procedure for the controller are given.