Optimal coupled and uncoupled fuzzy logic control for magneto-rheological damper-equipped plan-asymmetric structural systems considering structural nonlinearities

The main motivation of this paper is to examine the effect of structural nonlinearities on the engineering demand parameters (EDPs) of seismically excited controlled plan-asymmetric buildings equipped with magneto-rheological dampers. The development of a robust control algorithm for asymmetric buildings due to the randomness of ground excitations and their torsional response has always been a significantly challenging task in the vibrations control of structures. While the control algorithm in a simple approach could be designed ignoring the dependency of stiff and flexible edges of EDPs, the present research aimed also to develop a control strategy that mitigates simultaneously asymmetric edge responses of the structure using the multi-input multi-output ability of fuzzy logic control algorithms. In order to alleviate all difficulties to design an admissible control algorithm and attain the desired level of performance, the nondominated sorting genetic algorithm-II is applied. The effectiveness of the proposed controller on the inelastic seismic behavior of a controlled plan-asymmetric one-story structure is evaluated through a parametric study in which asymmetry is considered in the form of unidirectional mass eccentricity. To take the inelastic behavior of a controlled asymmetric building’s members into account, fiber elements modeling is employed. The model was subjected to a uniaxial lateral disturbance, including ordinary and strong ground motions exciting both lateral and torsional motions.