On the Suppression of Ground Vibration by Active Force Controller : 2nd Report; Optimurn Design of the Active Force Controlling System

Abstract

In order to eliminate the ground vibration as pollution, this paper presents a systematic design procedure of the active force control system proposed in the previous papers. First, from the viewpoint of feedback control, the active force control system with a series-type dynamic compensator is constructed. Secondly, with the aid of the parameter optimization technique, the necessary conditions for optimality of the system are derived. Thirdly, for the purpose of solving the conditions described by the nonlinear matrix equations, an iterative algorithm based upon the quasi-Newton method is proposed. Fourthly, by using the design procedure, the active force control system is designed. Finally, the characteristics of the system are discussed and the effectiveness of suppressing the exciting force is compared with the result of the feedforward control method gained in the previous papers.