This work focuses on the application of a discontinuous controller combined with a type of modal control using hybrid optimization techniques to tune the parameters of the controller. The case study is a civil structure with three floors, on which the performance of the control scheme is evaluated by applying an external harmonic force at the ground floor of the structure. The active control is designed to reduce the displacement of the civil structure and the vibrations of the overall system. The Differential Evolution method with the Interior Point Algorithm are used to tune the parameters of the proposed controller, with the goal of maximizing performance relative to hand-tuned parameters. The numerical results are presented comparing the performance of the control in open and closed loop, considering the optimized values of the control parameters.