Abstract
In this study, the design of adaptive backstepping sliding mode control (ABSMC) has been developed for vibration suppression of earth-quaked building supported by magneto-rheological (MR) damper. The control and adaptive laws developed based on ABSMC methodology has been established according to stability analysis based on Lyupunov theorem. A Single degree of freedom (SDOF) building system has been considered and the earthquake acceleration data used in performance analysis of the proposed controller is based on El Centro Imperial Valley Earthquake. The ABSMC has been compared to classical sliding mode control in terms of vibration suppression in the controlled system subjected to earthquake. The performance of proposed controller has been assessed via computer simulation, which showed its effectiveness to stabilize the building against earthquake vibration and the boundness of estimated stiffness and viscosity coefficients.
Highlights
Earthquakes are responsible for the destruction and severe damage to buildings and structures because of their peak accelerations.[1]
In order to have the robustness power of sliding mode control and the effectiveness of backstepping control theory, the Adaptive Backstepping Sliding Mode Control (ABSMC) has been proposed for vibration suppression of building supported by MR damper
It is clear from the figure that the control effort produced by SMC is less than that based on adaptive backstepping sliding mode control (ABSMC) and this is price has to be paid by the ABSMC for better vibration suppression
Summary
Earthquakes are responsible for the destruction and severe damage to buildings and structures because of their peak accelerations.[1]. Royel et al developed a nonlinear control design based on second-order sliding mode control to inhibit the external earthquakes or dynamic loadings for smart structures, which is integrated with MR fluid damper.[6] In Ref. 7, Zizouni et al neural network controller to mitigate the vibrations of 3-story scaled structure. In Ref. 8, Guclu has combined robust sliding mode control (SMC) and proportional integral derivative controller for active-seismic control of multi-degree-of-freedom structural system against earthquakes to suppress the building vibrations.
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