A new modified independent modal space control approach toward control of seismic-excited structures

In this paper, a new modified independent modal space control, namely independent modal space proportional-integral-derivative control (IMSPIDC), is proposed. The proposed control approach is developed through combining the well-known idea of proportional- integral- derivative control with the independent modal space control theory. IMSPIDC is applied to the problem of structural control under seismic excitation. A good trade-off between the conflicted modal structural responses and modal control force is crated using a multi-objective cuckoo search. Considering two different control devices includes: (1) an active tuned mass damper and (2) a system of active tendons, the performance of the proposed controller is evaluated in comparison with an independent modal space Linear–quadratic–regular control (IMSLQRC). The Simulation results show that the IMSPIDC performs significantly better than the IMSLQRC in reduction of seismic responses of the structure. The proposed controller has several advantages in terms of simplicity and reduction of required sensors to the number of controlled stories. Furthermore, an evaluation of robustness against stiffness uncertainties indicates that the IMSPIDC gives a better performance than IMSLQRC in this term.

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