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Frontiers of Structural and Civil Engineering >> 2018, Volume 12, Issue 1 doi: 10.1007/s11709-016-0382-6

A hybrid LQR-PID control design for seismic control of buildings equipped with ATMD

. Department of Civil Engineering, Taft Branch, Islamic Azad University, Taft, Iran.. Department of Civil Engineering, Birjand University of Technology, P.O. Box 97175-569, Birjand, Iran

Accepted: 2017-04-07 Available online: 2018-03-08

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Abstract

This paper presents an efficient hybrid control approach through combining the idea of proportional-integral-derivative (PID) controller and linear quadratic regulator (LQR) control algorithm. The proposed LQR-PID controller, while having the advantage of the classical PID controller, is easy to implement in seismic-excited structures. Using an optimization procedure based on a cuckoo search (CS) algorithm, the LQR-PID controller is designed for a seismic- excited structure equipped with an active tuned mass damper (ATMD). Considering four earthquakes, the performance of the proposed LQR-PID controller is evaluated. Then, the results are compared with those given by a LQR controller. The simulation results indicate that the LQR-PID performs better than the LQR controller in reduction of seismic responses of the structure in the terms of displacement and acceleration of stories of the structure.

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