Simultaneous optimization of structural and control systems of a multi-story building with PD controlled active braces using design response spectra

An optimization method is developed for the structural and control systems of a multi-story building equipped with proportional-derivative (PD) controlled active braces. The method uses design response spectra to consider ground motions and employs the complex complete quadratic combination method to estimate the maximum response and the maximum control force. Both structural and control costs are minimized under the constraints of the maximum inter-story drift and the absolute acceleration responses. The proposed method is applied to the simultaneous optimization of a three-story building with PD-controlled active braces and it is demonstrated that the method can efficiently provide Pareto optimal solutions.