The building structures with tuned mass damper (TMD) were used as research object, and a controll strategy was proposed when the output force of the TMD actuator was less than the designed controll force.The optimization method was used to search for the system controllaw under the condition that the premium of the linear matrix inequalities(LMIs) was satisfied,and the peakenergy controller was adopted for assuring the control effect.Finally,an example of 6storey building was used to illustrate the feasibility of the presented method.