Response attenuation of seismically excited adjacent buildings connected by a MR damper is studied using semi-active LQR controller design. The modified Bouc-Wen model relating damper force to input voltage/states is considered. Thus, obtaining the input voltage to realize a desired control force is a non-trivial task. The desired control force is obtained using LQR control, and desired voltage predicted based on either a RNN model or a CVL. Results for the 5-storey and 3-storey interconnected buildings (B5-B3) are obtained in terms of peak and RMS responses. These are compared with passive-on control for which a constant saturation voltage is applied to the damper. Percentage reduction in maximum peak [RMS] response, when using LQR-CVL instead of passive on control, is 24[20] for interstorey drift, 18[23] for displacement, and 17[26] for accelerations. Corresponding further percentage reductions of 6[5], 5[5], and À5[4], and reductions in base shear, occur when considering LQR-RNN vis-á-vis LQR-CVL control. Peak accelerations for B5[B3] attenuate [increase] significantly, resulting in a re-distribution and reduction of base shear, when comparing semi-active versus passive-on control. Results show that connection of adjacent buildings using MR damper driven by a LQR-RNN controller provides a promising means of response attenuation.
Lateral-torsional seismic response control of two single-storey asymmetric plan buildings, interconnected using multiple magnetorheological (MR) dampers, is studied. LQR control is used to obtain desired control forces. The desired damper force, for the two-damper case studied herein, is obtained using least square minimization. Command voltages are predicted using either a Recurrent Neural Network (RNN) or a Clipped Voltage Law (CVL). Effective controllers are obtained based on performance criteria, by varying damper configurations. LQR-CVL and LQR-RNN prove considerably more effective than Passive-off control for response reduction of flexible building B1, but not so for rigid building B2. They yield a redistribution of base shear and torque between the buildings. When compared to Passive-on control their performance ranges from superior to comparable, except for torsional acceleration of B2 for which it is inferior. They yield considerable reduction in peak base shear/torque, and require much less power, compared to Passive-on control where saturation voltage is applied. LQR-RNN is somewhat more effective than LQR-CVL in response attenuation.
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