Seismic response mitigation of adjacent high-rise structures via stochastic optimal coupling-control

The present study attempts to develop a stochastic optimal coupling-control strategy for the seismic response mitigation of adjacent structures coupled with active control devices. The proposed control strategy is based on the combined use of the stochastic dynamical programming principle and the stochastic averaging method. The seismic response mitigation is achieved through the total energy control of modal vibration based on stochastic averaged equations, and thus the dimension of control system is reduced. The seismic excitation spectrum is taken into account by use of the stochastic optimal dynamical programming principle. Following this approach, the derived optimal feedback control force is a nonlinear generalized damping force, which means dissipating energy control. The developed control method is applicable to coupled structures with an arbitrary number of stories and with connecting controllers at any stories. Numerical examples are given to demonstrate the control efficacy of the proposed control strategy for adjacent tall buildings.