Abstract
This study presents the modelling, design and analysis of three controllers applied to the non-linear model of a hydraulic uniaxial seismic shake table. Firstly, the system’s non-linear model is constructed based on the dynamic and mathematical analysis of the hydraulic actuator and the servo valve. Then, three control systems based on the LQR formulation are designed for the acceleration tracking: Linear quadratic integral (LQI), linear quadratic tracking (LQT) and a variation of LQT. Lastly, simulations are carried out using the non-linear model as the plant and the results showed that the variation of the LQT control exhibited the best acceleration tracking performance.
Highlights
The worldwide seismic activity has given engineers the responsibility to study, analyse and understand seismological phenomena to develop structures more resistant to earthquakes in order to saves as many lives as possible during a catastrophe of this nature [1]
Three controllers based on the LQR formulation were designed: Linear quadratic integral (LQI), linear quadratic tracking (LQT) and a variation of LQT
In the LQI control the structure of the output feedback controller (OFC) is selected as a simple first-order integrator
Summary
The worldwide seismic activity has given engineers the responsibility to study, analyse and understand seismological phenomena to develop structures more resistant to earthquakes in order to saves as many lives as possible during a catastrophe of this nature [1]. Seismic shake tables are one of the tools developed jointly by mechanic, electronic and civil engineers to study the dynamic behaviour of structures subject to earthquakes [2]. The main objective of a seismic table is to reproduce reference earthquake accelerations on test structures [3]. Acceleration tracking control is extremely complicated due to the non-linearities inherent to hydraulic systems and the existence of an unstable and unobservable mode in its measurement [3]. In this work the non-linear dynamic model was first obtained for the hydraulic uniaxial seismic shake table.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
