Abstract：A family of multi-objective probabilistic criteria for stochastic optimal control of base-excited structures is developed in the present paper. It includes the two criteria aiming at the ensemble-expectation and exceedance probability of equivalent extreme-value processes in the sense of performance and energy trade-off respectively. Numerical investigations show that the effectiveness of response control hinges on the physical origin of the probabilistic criteria. The exceedance probability criterion in energy trade-off sense accommodates system performance to a better trade-off between response reductions and control requirements, which is included in the comparative study against other control criteria currently in use. A randomly base-excited eight-storey shear frame, moreover, controlled by active tendons is investigated as a numerical example. Numerical results reveal that using the advocated probabilistic criterion, the structural stochastic optimal control operates efficiently and achieves a desirable objective performance.
2011, Vol. 30 
