A Hybrid Optimal-Base Fuzzy-Proportional-Integral-Derivative Controller For Vibration Mitigation of Structural System Against Earthquake

This paper proposes an experimental investigation of a four-story structure that is connected to a shaking table. the investigated shaking table is designed with a particular method to produce any kind of vibration amplitude. also, the whale optimization algorithm is used for the identification of the experimental structure parameters such as mass, stiffness, and damping to show the adaptation of the results collected from the identified model on the results achieved from the linear model. the other idea of this paper is to suggest a novel control strategy that is established by combining proportional-integral-derivative and fuzzy logic control, using an optimization procedure called whale optimization algorithm for optimum tuning of controller coefficients, the hybrid control method is designed. the main objective of the hybrid optimal-based fuzzy-proportional-integral-derivative controller is to reduce the displacement of isolation system without allowing a significant increase in the acceleration of superstructure for both far-field and near-field earthquake excitations. the proposed control algorithm is designed and developed on a four-story shear frame, which contains an active tuned mass damper on each level. numerical simulations show that the proposed controller which is a combination of two controllers better mitigates the seismic responses of a smart structure excited by a range of real-data earthquakes.