A new pattern of structures, combined isolation structure, was presented, and its vibration and
control equations were derived. Based on the hypothesis that the input for earthquakes is white noise and
using the principle of random optimal control, the features of vibration control and the effects of parameters
such as isolation degree, damping and ground site on themwere analyzed. The research result indicates that
the vibration control system of combined isolation structures can bring the seismic responses of structures
under effective control by optimixing control parameters.