This paper discusses a robust control problem of uncertain drum-boiler system subject to H2 and passivity performances. The main aims of H2 control scheme are to minimize output energy and guarantee robust asymptotical stability. Besides, passivity theory is applied to constrain effect of external disturbance on the system. Based on Lyapunov function, some sufficient conditions are derived into Linear Matrix Inequality (LMI) form that can be directly calculated by the convex optimization algorithm. Through solving the derived sufficient conditions, a controller can be established to guarantee robust asymptotical stability and mixed H2/Passivity performance of uncertain drum-boiler system. Based on simulation results, validity and effectiveness of the proposed design method can be demonstrated.

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