Active control of structures using energy-based LQR method

In this article, a new energy-based technique is proposed to eliminate trial and error in finding appropriate gain matrices in linear quadratic regulator (LQR) controllers used in active control of structures. The gain matrix is obtained by considering the energy of the structure. To compare the efficiency of the proposed method, a three-storey building with two active tendons in the first and third floors is considered. The proposed gain selection and other techniques reported in the literature for LQR controllers are used to compare the response of the structure for three accelograms. A comparison of the displacement and control forces illustrates the superiority of the proposed method.