Linear quadratic AMD controller with an observer for buildings under seismic ground motion

This paper is devoted to the study of active control with an observer for the control of structural vibration using an electric servomotor active mass driver (AMD) system. Composed primarily of an electric servomotor and a ball screw, the electrical AMD system is free from noise problems, oil leakage, and labor-intensive maintenance that commonly are associated with hydraulic AMD systems. For technological reasons and for cost reasons the number of sensors is limited by using the Luenberger observer. This observer is based on the synthesis of a static gain to stabilize the error state estimation and the convergence of the observer status to the state of the real system. In this study an instantaneous linear quadratic control algorithm is adopted using an observer. Numerical simulation is performed using a single sensor on the top floor of a five-story steel frame structure under the conditions of a Kanai-Tajimi power spectral density function of ground acceleration.