Smart Structures and Systems

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Robust decentralized control of structures using the LMI H∞controller with uncertainties

  • Raji, Roya (Department of Civil engineering, University of Tabriz) ;
  • Hadidi, Ali (Department of Civil engineering, University of Tabriz) ;
  • Ghaffarzadeh, Hosein (Department of Civil engineering, University of Tabriz) ;
  • Safari, Amin (Department of Elecrtical Engineering, Azarbaijan Shahid Madani University)
  • Received : 2017.11.15
  • Accepted : 2018.10.30
  • Published : 2018.11.25
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Abstract

This paper investigates the operation of the $H_{\infty}$ 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.

Keywords

References

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