Effects of combined time delays on vibration suppression of building structures

The effects of combined time delays on control performance of vibration suppression of building structures are studied by regarding multiple control objectives. The multi-objective optimization problem is solved with the simple cell mapping method in a two-step manner. The Pareto solutions with and without time delays are obtained. It is concluded the control performance can be improved significantly by incorporating proper combined time delays in feedback signals, the settling time and the maximum amplitude peak are further minimized simultaneously. The distribution of the time delays of the Pareto points indicates that proper time delays in velocity feedback signals are always positive to control performance.