Design of a decoupled PID controller via MOCS for seismic control of smart structures

  • Etedali, Sadegh (Department of Civil Engineering, Birjand University of Technology) ;
  • Tavakoli, Saeed (Faculty of Electrical and Computer Engineering, University of Sistan and Baluchestan) ;
  • Sohrabi, Mohammad Reza (Department of Civil Engineering, University of Sistan and Baluchestan)
  • Received : 2015.06.04
  • Accepted : 2016.04.03
  • Published : 2016.05.25


In this paper, a decoupled proportional-integral-derivative (PID) control approach for seismic control of smart structures is presented. First, the state space equation of a structure is transformed into modal coordinates and parameters of the modal PID control are separately designed in a reduced modal space. Then, the feedback gain matrix of the controller is obtained based on the contribution of modal responses to the structural responses. The performance of the controller is investigated to adjust control force of piezoelectric friction dampers (PFDs) in a benchmark base isolated building. In order to tune the modal feedback gain of the controller, a suitable trade-off among the conflicting objectives, i.e., the reduction of maximum modal base displacement and the maximum modal floor acceleration of the smart base isolated structure, as well as the maximum modal control force, is created using a multi-objective cuckoo search (MOCS) algorithm. In terms of reduction of maximum base displacement and story acceleration, numerical simulations show that the proposed method performs better than other reported controllers in the literature. Moreover, simulation results show that the PFDs are able to efficiently dissipate the input excitation energy and reduce the damage energy of the structure. Overall, the proposed control strategy provides a simple strategy to tune the control forces and reduces the number of sensors of the control system to the number of controlled stories.


seismic control;smart base isolated structures;piezoelectric friction dampers;multi-objective cuckoo search;PID controller


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