RESPONSE CONTROL OF BUILDINGS WITH ACTIVE MASS DAMPER : Part 1 : Study on design method of output feedback controller and its preformance

Abstract

A design method of output feedback controller for a building-AMD system is proposed. This method can be generally applied to controlling multi modes of the system whose damping matrix does not necessarily satisfy the orthogonality condition. A reduced order model as well as a reduced order weight matrix for optimal control are obtained through a linear transformation of the state space representation of the system considering the complex modes and output feedback gains are evaluated. The control performance of the structure-AMD system designed by this method is compared with that obtained by minimization norm method as well as optimal control with full state feedback. It is shown through a numerical example that this method can achieve as good performance as optimal control with full state feedback and performs better than minimization norm method for the practical range of application.