Abstract
The purpose of this paper is to present an investigation of the optimal control of structure subject to earthquake loading. The control of structure in civil engineering results in the tracking problem, so that this paper deals with the solution of the tracking problem for the descrete-time linear quadratic control. The dynamic programming is used for the solution algorithm. Several numerical examples comparing the regulator control and various approximating control methods lead to the conclusion that the structure can be efficiently controlled by the methods presented in this paper.