Abstract: The paper studies the mixed H2/H∞ state-feedback control problem for uncertain linear systems with norm-bounded parameter uncertainty. An upper bound for the H2 performance index of one output is obtained under the condition of satisfying a given H∞ disturbance attenuation constraint on the other output, and the "optimal" state-feedback controller is derived by Lagrange multiplier technique to minimize the bound. The obtained result only needs to solve a modified Riccati equation with two scale parameters. Numerical results also demonstrate that the proposed method is very effective.