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Structural Engineering and Mechanics
  Volume 81, Number 5, March10 2022 , pages 633-645
DOI: https://doi.org/10.12989/sem.2022.81.5.633
 


Optimum design of a sliding mode control for seismic mitigation of structures equipped with active tuned mass dampers
Hussein Eliasi, Hessam Yazdani, Mohsen Khatibinia and Mehdi Mahmoudi

 
Abstract
    The active tuned mass damper (ATMD) is an efficient and reliable structural control system for mitigating the dynamic response of structures. The inertial force that an ATMD exerts on a structure to attenuate its otherwise large kinetic energy and undesirable vibrations and displacements is proportional to its excursion. Achieving a balance between the inertial force and excursion requires a control law or feedback mechanism. This study presents a technique for the optimum design of a sliding mode controller (SMC) as the control law for ATMD-equipped structures subjected to earthquakes. The technique includes optimizing an SMC under an artificial earthquake followed by testing its performance under real earthquakes. The SMC of a real 11-story shear building is optimized to demonstrate the technique, and its performance in mitigating the displacements of the building under benchmark near- and far-fault earthquakes is compared against that of a few other techniques (proportional-integral-derivative [PID], linear-quadratic regulator [LQR], and fuzzy logic control [FLC]). Results indicate that the optimum SMC outperforms PID and LQR and exhibits performance comparable to that of FLC in reducing displacements.
 
Key Words
    active tuned mass dampers; nonlinear control; optimum design; sliding mode control; structural control
 
Address
Hussein Eliasi: Department of Electrical and Computer Engineering, University of Birjand, Birjand, Iran
Hessam Yazdani: Department of Civil and Environmental Engineering, Howard University, Washington, DC, USA
Mohsen Khatibinia: Department of Civil Engineering, University of Birjand, Birjand, Iran
Mehdi Mahmoudi: Department of Civil Engineering, Khayyam University, Mashhad, Iran
 

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