Simple Model for Optimal Control of Tall Buildings

Abstract

An objective of this paper is to study control design based on incomplete measured data. An approximate modal method is used to estimate the modal responses of the structure, based on incomplete measured data. An optimal modal control technique is used to obtain the necessary control forces. Another objective is to study passive control design by means of base isolation. The third objective is to study the combined effects of both active and passive control designs. Examples of optimal active control of a two‐floor and an eight‐floor building modeled by simple shear beams, without and with passive base‐isolation devices, are performed to demonstrate the efficiencies of the various control designs. These designs are developed from placing actuators at different locations and collecting incomplete measured data from selected sensor locations. Results on the reduction of the dynamic responses of the example buildings are then quantified and discussed.