This paper is concerned with a model reduction method taking account of the steady-state gain, while keeping the H∞ norm of the associated error system as small as possible with the LMI optimization technique. Taking account of the steady-state gain leads to decreasing the integrated square error between the step response of the original system and that of the reduced order system. The proposed method is applied to the reduction of the model of a multi-machine electric power system to demonstrate its effectiveness.
