Analysis on multi-objective criteria for stochastic optimal control of base-excited structures

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (11) : 224-229,.

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Analysis on multi-objective criteria for stochastic optimal control of base-excited structures

Peng Yong-bo; Li Jie

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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.

Key words

stochastic optimal control / energy trade-off criteria / ensemble-expectation / exceedance probability / parameter optimization

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Peng Yong-bo;Li Jie. Analysis on multi-objective criteria for stochastic optimal control of base-excited structures[J]. Journal of Vibration and Shock, 2011, 30(11): 224-229,