An approach is suggested to reduce the peak and average control forces of actively controlled structures. In this method, responses\nof an actively controlled building should be much smaller than the responses of the same building controlled by the similar passive\ncontrol mechanism. This approach leads to a time varying gain matrix, which is not restricted by external excitation but it is related\nto the selection of a scalar function. Extensive numerical analyses by using various scalar functions show that the proposed strategy\neffectively can reduce the need of the required control force consumptions.
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