A time varying optimal algorithm for active structural response control

In this paper, a time varying optimal control algorithm (-method) is proposed to control building responses against environmental earthquake excitations. The proposed method is presented through dening a rational relation between the state variables of a structure with active and passive control systems with identical mechanisms. This procedure results in a time varying gain matrix with adaptable ability to external excitation, in order to decrease the extra need for maximum and/or total control force. Performance of the proposed method is examined by applying it to an eight-story shear type building subjected to various ground accelerations. Numerical results indicate that the proposed algorithm in some cases reduces the power consumption demand signicantly, without any reduction in control system performance, in comparison with the classical closed loop optimal control method, and, in the worst case, acts in a similar way.