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Abstract A new non‐linear control model is presented for active control of three‐dimensional (3D) building structures. Both geometrical and material non‐linearities are included in the structural control formulation. A dynamic fuzzy wavelet neuroemulator is presented for predicting the structural response in future time steps. Two dynamic coupling actions are taken into account simultaneously in the control model: (a) coupling between lateral and torsional motions of the structure and (b) coupling between the actuator and the structure. The new neuroemulator is validated using two irregular 3D steel building structures, a 12‐story structure with vertical setbacks and an 8‐story structure with plan irregularity. Numerical validations in both time and frequency domains demonstrate that the new neuroemulator provides accurate prediction of structural displacement responses, which is required in neural network models for active control of structures. In the companion paper, a floating‐point genetic algorithm is presented for finding the optimal control forces needed for active non‐linear control of building structures using the dynamic fuzzy wavelet neuroemulator presented in this paper. Copyright © 2007 John Wiley & Sons, Ltd.
Jiang et al. (Thu,) studied this question.