The reduced order optimum method for the placement and control law design of control devices between two adjacent structures

The design of the control devices for the control system of adjacent structures connected with control devices involves two aspects: the number and placement of the control devices and the control law or the parameters of the control devices. The performance index increment equation is established in this paper by using the conclusions of LQG problem at the condition of the control gain unchanged. Hence the optimum placement method is proved. The step reduced order method is used to overcome the defect of the control gain unchanging and it can be applied to the case in which only a few control devices are to be placed into the building with a large number of story units. The method proposed in this paper gives the optimum design of the number, the placement and the control law of the control devices at the same time.