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Abstract
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This paper investigates the operation of the �∞ static output-feedback controller to reduce dynamic responses
under seismic excitation on the five-story and benchmark 20 story building with parametric uncertainties. Linear matrix
inequality (LMI) control theory is applied in this system and then to achieve the desired LMI formulations, some
transformations of the LMI variables is used. Conversely uncertainties due to material properties, environmental loads such as
earthquake and wind hazards make the uncertain system. This problem and its effects are studied in this research. Also to
decrease the transition of large amount of data between sensors and controller, avoiding the disruption of whole control system
and economy problems, the operation of the decentralized controllers is investigated in this paper. For this purpose the
comparison between the performance of the centralized, fully decentralized and partial decentralized controllers in uncoupled
and coupled cases is performed. Also, the effect of the changing the number of stories in substructures is considered. Based on
the numerical results, the used control algorithm is very robust against the parametric uncertainties and structural responses are
decreased considerably in all the control cases but partial decentralized controller in coupled form gets the closest results to the
centralized case. The results indicate the high applicability of the used control algorithm in the tall shear buildings to reduce the
structural responses and its robustness against the uncertainties.
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