Abstract
A method of stochastic control for seismic-excited hysteretic structures is presented. Emphasis is placed on hybrid control of base-isolated buildings. The earthquake excitation is modeled as a filter shot noise and the equations of motion of the structure are augmented by the earthquake model. Based on the stochastic optimal control algorithm, the resulting control vector consists of a feedforward compensation and a state feedback loop. The nonstationary response statistics, such as the mean square function, are obtained using the methods of random vibration and equivalent linearization. Simulation results indicate that for a range of earthquake model parameters of practical interest, the performance of the control method using both the feedforward compensation and the state feedback loop does not offer a significant improvement over that of the control method using only the state feedback.
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