Abstract
Instantaneous Optimal Control (IOC) is used to obtain the desired force from an MR damper fitted to a seismically excited building. Excitation is considered when minimizing performance index, unlike in classical optimal controllers. The modified Bouc-Wen damper model and on-off voltage law is considered. Various forms of state weighting matrices are considered for controller design. IOC is compared with Linear Quadratic Regulator (LQR), Linear Quadratic Gaussian (LQG), and Passive-on control. IOC yields reduction in maximum peak and maximum RMS interstorey drift and in accelerations vis-a-vis LQR and LQG. The IOC Riccati Matrix Type controller appears most effective, yielding the lowest maximum peak drift, the lowest maximum peak acceleration, and the best storeywise drift control when compared to passive-on, LQR, and LQG. The controller also yields substantially lower peak accelerations when compared to LQR and LQG.
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