A fuzzy-logic control algorithm, based on the fuzzification of the MR damper characteristics, is presented for the semiactive control of building frames under seismic excitation. The MR damper characteristics are represented by force-velocity and force-displacement curves obtained from the sinusoidal actuation test. The method does not require any analytical model of MR damper characteristics, such as the Bouc-Wen model, to be incorporated into the control algorithm. The control algorithm has a feedback structure and is implemented by using the fuzzy-logic and Simulink toolboxes of MATLAB. The performance of the algorithm is studied by using it to control the responses of two example buildings taken from the literature-a three-storey building frame, in which controlled responses are obtained by clipped-optimal control and a ten-storey building frame. The results indicate that the proposed scheme provides nearly the same percentage reduction of responses as that obtained by the clipped-optimal control with much less control force and much less command voltage. Position of the damper is found to significantly affect the controlled responses of the structure. It is observed that any increase in the damper capacity beyond a saturation level does not improve the performance of the controller. dampers and controllable fluid dampers. Mostly two fluids, viz., electrorheological (ER) fluid and magnetorheological (MR) fluid, are widely used in controllable fluid dampers. A few state-of-theart review papers [1-4] provide a good survey of the research carried out for structural control in general, and for semiactive control in particular. Some recent experimental studies on scaled models of building frames and bridges have shown that semi-active systems performed better than the corresponding passive systems [5-7] and required much less external energy as compared with active systems.In recent years, the MR damper has been identified as a potential device for semiactive control for building frames because of its mechanical simplicity, low power requirement, high dynamic range, large force capacity and robustness. Being an energy dissipation device that cannot add mechanical energy to the structural system, an MR damper is also very stable and fail-safe. MR fluid contains a suspension of iron particles in a carrier mechanism such as oil. Application of a magnetic field causes the iron particles to align, and inter-particle bonds increase the resistance of the fluid, turning it into a semi-solid.A number of the literature report on the development and modeling of MR dampers. Initially, the research started with modeling of ER dampers and in one of the early works, the ER damper was analytically modeled with the help of the Bingham viscoplastic model [8], which was later extended to a viscoplastic-elastic model in a consequent study [9]. Recently, however, a new phenomenological model of a typical MR damper, based on the Bouc-Wen hysteresis model, has been proposed [10]. The proposed model overcomes different shortcomings of th...